BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

Odisha State Board BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା Textbook Exercise Questions and Answers.

BSE Odisha Class 10 Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

Subjective Type Questions With Answers

ଦୀର୍ଘ ଉତ୍ତରମୂଳକ ପ୍ରଶ୍ନୋତ୍ତର
ପ୍ରତ୍ୟେକ ପ୍ରଶ୍ନର ଉତ୍ତର ପ୍ରାୟ ୩୦ ଗୋଟି ଶବ୍ଦରେ ଲେଖ ।

୧।. ଆମ ସମ୍ବିଧାନରେ ନିର୍ବାଚନଭିଭିକ ସ୍ଥାନୀୟ ସ୍ୱାୟତ୍ତ ଶାସନ ବ୍ୟବସ୍ଥା କେଉଁ ଧାରାରେ ଓ କିପରି ସୂଚିତ ହୋଇଛି ?
Answer:

  • ସମ୍ବିଧାନରେ ୭୩ ତମ ଓ ୭୪ ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ଜରିଆରେ ଆମ ସମ୍ବିଧାନରେ ନିର୍ବାଚନଭିଭିକ ସ୍ଥାନୀୟ ସ୍ୱାୟତ୍ତ ଶାସନ ବ୍ୟବସ୍ଥା ସୂଚିତ ହୋଇଛି ।
  • ଦେଶର ସହରାଞ୍ଚଳରେ ପୌର ନିଗମ, ପୌରପାଳିକା ଓ ବିଜ୍ଞାପିତ ଅଞ୍ଚଳ ପରିଷଦ ଗଠନର ବ୍ୟବସ୍ଥା ରହିଛି ।
  • ସେହିପରି ଗ୍ରାମାଞ୍ଚଳରେ ଜିଲ୍ଲା ପରିଷଦ, ପଞ୍ଚାୟତ ସମିତି ଓ ଗ୍ରାମ ପଞ୍ଚାୟତର ବ୍ୟବସ୍ଥା ରହିଛି ।
  • ଏହି ସ୍ୱାୟତ୍ତ ଶାସନ ବ୍ୟବସ୍ଥାଦ୍ୱାରା ତୃଣମୂଳ ସ୍ତରରେ ଗଣତନ୍ତ୍ର ପ୍ରତିଷ୍ଠିତ ହୋଇପାରିଛି ଓ ଏହା ଫଳରେ ତୃଣମୂଳ ସ୍ତର ପର୍ଯ୍ୟନ୍ତ ଗଣତାନ୍ତ୍ରିକ ବିକେନ୍ଦ୍ରୀକରଣ ସମ୍ଭବ ହୋଇପାରିଛି ।

ସଂଷିପ୍ତ ଉତ୍ତରମୂଳକ ପ୍ରଶ୍ନୋତ୍ତର
ପ୍ରତ୍ୟେକ ପ୍ରଶ୍ନର ଉତ୍ତର ପ୍ରାୟ ୨୦ ଗୋଟି ଶବ୍ଦରେ ଲେଖ ।

୧।. ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ପ୍ରଥମ ବୈଠକ କେବେ ବସିଥିଲା ଓ କେବେ ନୂତନ ସମ୍ବିଧାନ ପ୍ରଣୟନ କାର୍ଯ୍ୟ ଶେଷ ହେଲା ?
Answer:

  • ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ପ୍ରଥମ ବୈଠକ ୧୯୪୬ ମସିହା ଡିସେମ୍ବର ମାସ ୯ ତାରିଖରେ ବସିଥିଲା ।
  • ୧୯୪୯ ମସିହା ନଭେମ୍ବର ମାସ ୨୬ ତାରିଖ ଦିନ ନୂତନ ସମ୍ବିଧାନ ପ୍ରଣୟନ କାର୍ଯ୍ୟ ଶେଷ ହେଲା ।

୨।. କେଉଁ କେଉଁ ରାଜ୍ୟ ବିଧାନମଣ୍ଡଳରେ ବିଧାନ ପରିଷଦ ରହିଛି ?
Answer:

  • ଭାରତରେ ୫ଟି ରାଜ୍ୟର ବିଧାନମଣ୍ଡଳରେ ବିଧାନ ପରିଷଦ ରହିଛି ।
  • ସେହି ରାଜ୍ୟଗୁଡ଼ିକ ହେଉଛି – ବିହାର, ମହାରାଷ୍ଟ୍ର, କର୍ଣ୍ଣାଟକ, ଉତ୍ତର ପ୍ରଦେଶ ଏବଂ ଆନ୍ଧ୍ରପ୍ରଦେଶ ।

BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

୩।. ୭୩ ତମ ଓ ୭୪ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ସମ୍ପର୍କରେ ଲେଖ ।
Answer:

  • ୭୩ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ଜରିଆରେ ଗ୍ରାମାଞ୍ଚଳରେ ଜିଲ୍ଲା ପରିଷଦ, ପଞ୍ଚାୟତ ସମିତି ଓ ଗ୍ରାମ
  • ୭୪ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ଜରିଆରେ ଦେଶର ସହରାଞ୍ଚଳରେ ପୌର ନିଗମ, ପୌରପାଳିକା

Objective Type Questions With Answers

A. ଗୋଟିଏ ବାକ୍ୟରେ ଉତ୍ତର ଲେଖ ।

1. ଭାରତରେ ଏକ ପରୋକ୍ଷ ବା ପ୍ରତିନିଧୂମୂଳକ ଗଣତନ୍ତ୍ର କିପରି ପ୍ରତିଷ୍ଠିତ ହୋଇପାରିଛି ?
Answer:
ଆମ ଭାରତର ବହୁଳ ଜନସଂଖ୍ୟା ଓ ଆୟତନର ବିଶାଳତା ଦୃଷ୍ଟିରୁ ଆମ ଦେଶରେ ଏକ ପରୋକ୍ଷ ବା ପ୍ରତିନିଧୂମୂଳକ ଗଣତନ୍ତ୍ର ପ୍ରତିଷ୍ଠି କରାଯାଇପାରିଛି ।

2. ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ପ୍ରଥମ ବୈଠକ କେବେ ବସିଥିଲା ?
Answer:
୧୯୪୬ ମସିହା ଡିସେମ୍ବର ମାସ ୯ ତାରିଖରେ ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ପ୍ରଥମ ବୈଠକ ବସିଥିଲା ।

3. ଆମ ଦେଶର ବୃହତ୍ ସମ୍ବିଧାନ ତିଆରି କରିବାପାଇଁ କେତେ ଦିନ ସମୟ ଲାଗିଥିଲା ?
Answer:
ଦୀର୍ଘ ୨ ବର୍ଷ ୧୧ ମାସ ଓ ୧୮ ଦିନ ପରେ ଆମ ଦେଶ ପାଇଁ ଏକ ସମ୍ବିଧାନ ତିଆରି ହୋଇଥିଲା ।

4. ଆମ ସମ୍ବିଧାନରେ ଅଧ୍ଵ ସୁରକ୍ଷା କାହାକୁ ଦିଆଯାଇଛି ?
Answer:
ଭାରତର ନାଗରିକମାନଙ୍କର ମୌଳିକ ଅଧିକାରକୁ ଅଧ୍ଵକ ସୁରକ୍ଷା ପ୍ରଦାନ କରିଥାଏ ।

5. ଭାରତର ସଂସଦ କେଉଁମାନଙ୍କୁ ନେଇ ଗଠିତ ?
Answer:
ଲୋକସଭା, ରାଜ୍ୟସଭା ଓ ରାଷ୍ଟ୍ରପତିଙ୍କୁ ନେଇ ସଂସଦ ଗଠିତ ହୋଇଛି ।

BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

6. ରାଜ୍ୟର ମୁଖ୍ୟମନ୍ତ୍ରୀମାନେ କାହା ନିକଟରେ ଉତ୍ତରଦାୟୀ ?
Answer:
ମୁଖ୍ୟମନ୍ତ୍ରୀଙ୍କ ନେତୃତ୍ୱାଧୀନ ରାଜ୍ୟ ମନ୍ତ୍ରିମଣ୍ଡଳ ରାଜ୍ୟ ବିଧାନସଭା ନିକଟରେ ଏହାର ସମସ୍ତ କାର୍ଯ୍ୟକଳାପ ପାଇଁ ସାମୂହିକ ଭାବରେ ଉତ୍ତରଦାୟୀ ।

7. ଭାରତର ଜନସାଧାରଣ ଦେଶର ଆଇନ ପ୍ରଣୟନ କ୍ଷେତ୍ରରେ କିପରି ଅଂଶଗ୍ରହଣ କରିଥା’ନ୍ତି ?
Answer:
ପ୍ରତ୍ୟକ୍ଷ ନିର୍ବାଚନ ମାଧ୍ୟମରେ କେନ୍ଦ୍ରରେ ଲୋକସଭା ଓ ରାଜ୍ୟରେ ବିଧାନସଭାକୁ ସଦସ୍ୟ ନିର୍ବାଚିତ କରାଇ ଭାରତର ଜନସାଧାରଣ ଆଇନ ପ୍ରଣୟନ କ୍ଷେତ୍ରରେ ପରୋକ୍ଷ ଭାବରେ ଅଂଶଗ୍ରହଣ କରିଥା’ନ୍ତି ।

8. ଆମ ସମ୍ବିଧାନରେ କେଉଁ ପ୍ରକାର ସ୍ଥାନୀୟ ସ୍ୱାୟତ୍ତ ଶାସନ ସୂଚିତ ହୋଇଛି ?
Answer:
୭୩ ଓ ୭୪ ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ବଳରେ ଆମ ସମ୍ବିଧାନରେ ନିର୍ବାଚନଭିଭିକ ସ୍ଥାନୀୟ ସ୍ୱାୟତ୍ତ ଶାସନ

9. କେଉଁମାନଙ୍କ ପାଇଁ ଭାରତରେ ‘ସାର୍ବଜନୀନ ସାବାଳକ ମତଦାନ ବ୍ୟବସ୍ଥା’ ପ୍ରଚଳିତ ହେଉଛି ?
Answer:
ଭାରତରେ ଲୋକସଭା, ରାଜ୍ୟ ବିଧାନସଭା ଓ ସ୍ୱାୟତ୍ତ ଶାସନ ସଂସ୍ଥାଗୁଡ଼ିକର ପ୍ରତିନିଧିମାନଙ୍କୁ ନିର୍ବାଚିତ କରିବାପାଇଁ ବ୍ୟବସ୍ଥା ପ୍ରଚଳନ କରାଯାଇଛି ।

10. ସମ୍ବିଧାନର ୩୨୬ ଧାରାରେ କ’ଣ ଉଲ୍ଲେଖ କରାଯାଇଛି ?
Answer:
ଆମ ସମ୍ବିଧାନର ୩୨୬ ଧାରାରେ ‘ସାର୍ବଜନୀନ ସାବାଳକ ମତଦାନ ପ୍ରଥା’ ବିଷୟରେ ଉଲ୍ଲେଖ କରାଯାଇଛି ।

BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

B. ଗୋଟିଏ ଶବ୍ଦରେ ଉତ୍ତର ଲେଖ ।

1. ସାର୍ବଜନୀନ ସାବାଳକ ମତଦାନ ଅଧିକାର ସମ୍ପର୍କିତ ସୂଚନା ସମ୍ବିଧାନର କେଉଁ ଧାରାରେ ଉଲ୍ଲେଖ ଅଛି ?
2. କିଏ କହିଥିଲେ ‘ଗଣତନ୍ତ୍ର ହେଉଛି ଲୋକମାନଙ୍କର, ଲୋକମାନଙ୍କଦ୍ୱାରା, ଲୋକମାନଙ୍କ ପାଇଁ ସରକାର’’ ।
3. ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭା ଗଠନ କରିବାପାଇଁ କିଏ ପ୍ରସ୍ତାବ ଦେଇଥିଲା ?
4. ଭାରତକୁ କେବେଠାରୁ ଏକ ସର୍ବଭୌମ ଗଣତାନ୍ତ୍ରିକ ସାଧାରଣତନ୍ତ୍ର ଭାବେ ଘୋଷଣା କରାଯାଇଥିଲା ?
5. କେବେ ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାରେ ନୂତନ ସମ୍ବିଧାନ ଗୃହୀତ ହେଲା ?

Answer:
1. ଧାରା – ୩୨୬
2. ଆବ୍ରାହମ୍ ଲିଙ୍କନ୍
3. କ୍ୟାବିନେଟ୍ ମିଶନ
4. ୧୯୫୦
5. ୧୯୪୯ ନଭେମ୍ବର ୨୬

C. ଶୂନ୍ୟସ୍ଥାନ ପୂରଣ କର ।

1. ଗଶତନ୍ତ୍ରରେ _______________ ହେଉଛନ୍ତି ସାର୍ବଭୌମ କ୍ଷମତାର ଅଧିକାରୀ ।
2. କ୍ୟାବିନେଟ୍ ମିଶନ ପ୍ରସ୍ତାବ ଅନୁସାରେ ଆମ ଦେଶରେ _________________ ପ୍ରସ୍ତୁତ କରାଯାଇଥିଲା ।
3. କେଦ୍ରମନ୍ତ୍ରମଶ୍ତଳ _________________ ନିକଟରେ ସାମୂହିକଭାବେ ଉତ୍ତରଦାୟୀ ଅଟନ୍ତି ।
4. ବିଧାନ ପରିଷଦର ସଦସ୍ୟମାନେ ଲୋ _________________ ଭାବରେ ନିର୍ବାଚିତ ହୁଅନ୍ତି ।
5. ବର୍ତ୍ତମାନ ମାତ୍ର _________________ ଟି ରାଜ୍ୟରେ ବିଧାନ ପରିଷଦ ରହିଅଛି ।
6. ଭାବରେ _____________ ବର୍ଷରୁ ଊର୍ଦ୍ଧ୍ବ ବୟସ୍କ ବ୍ୟକ୍ତିମାନେ ମତଦାନ ଅଧିକାର ଉପଭୋଗ କରୁଛନ୍ତି ।
7. ରାଜ୍ୟ ମନ୍ତ୍ରିମଣ୍ଡଳର ନେତୃତ୍ୱ ______________ ନେଇଥା’ନୁ ।
8. ୭୩ ଓ ୭୪ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ___________________ ଶାସନ ପାଇଁ ଉଦ୍ଦିଷ୍ଟ ଥିଲା ।

Answer:
1. ଜନସାଧାରଣ
2. ସମ୍ବିଧାନ
3. ଲୋକସଭା
4. ପରୋକ୍ଷ
5. ୫
6. ୧୮
7. ମୁଖ୍ୟମନ୍ତ୍ର।
8. ସ୍ୱାୟତ୍ତ

BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

D. ଠିକ୍ ଉକ୍ତି ପାଇଁ (✓ ) ଚିହ୍ନ ଓ ଭୁଲ୍ ଉକ୍ତି ପାଇଁ (x) ଚିହ୍ନ ଦିଅ ।

1. ୧୯୪୭ ଅଗଷ୍ଟ ୧୫ ତାରିଖ ଦିନ ଭାରତକୁ ଏକ ସାର୍ବଭୌମ ଗଣତାନ୍ତ୍ରିକ ସାଧାରଣତନ୍ତ୍ର ଭାବେ ଘୋଷଣା କରାଯାଇଥିଲା ।
2. ଏବେ ବିଶ୍ୱରେ ପ୍ରାୟତଃ ୧୨୦ଟି ଦେଶରେ ଗଣତାନ୍ତ୍ରିକ ଶାସନ ବ୍ୟବସ୍ଥା ରହିଛି ।
3. ଗଣତନ୍ତ୍ର ଶାସନରେ ପ୍ରଧାନମନ୍ତ୍ରୀ ହେଉଛନ୍ତି ସାର୍ବଭୌମ କ୍ଷମତାର ଅଧିକାରୀ ।
4. ଯେଉଁ ସରକାରରେ ପ୍ରତ୍ୟେକ ବ୍ୟକ୍ତି ଅଂଶଗ୍ରହଣ କରିଥା’ନ୍ତି, ତାହାକୁ ରାଜତନ୍ତ୍ର କୁହାଯାଏ ।
5. ଆମ ଭାରତର ବହୁଳ ଜନସଂଖ୍ୟା ଓ ଆୟତନର ବିଶାଳତା ଦୃଷ୍ଟିରୁ ଏଠାରେ ଏକ ପ୍ରତ୍ୟକ୍ଷ ଗଣତନ୍ତ୍ର ପ୍ରତିଷ୍ଠିତ ହୋଇଛି ।
6. ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ପ୍ରଥମ ବୈଠକ ୧୯୪୫ ଡିସେମ୍ବର ୯ ତାରିଖରେ ବସିଥିଲା ।
7. ସମ୍ବିଧାନ ପ୍ରଣୟନ ହେବାପାଇଁ ୨ ବର୍ଷ ୧୧ ମାସ ୧୮ ଦିନ ଲାଗିଥିଲା ।
8. ଭାରତର ଜନସାଧାରଣ ହେଉଛନ୍ତି ସାର୍ବଭୌମ କ୍ଷମତାର ଅଧିକାରୀ ।
9. ରାଷ୍ଟ୍ରପତି ହେଉଛନ୍ତି ସଂସଦର ଏକ ଅବିଚ୍ଛେଦ୍ୟ ଅଙ୍ଗ ।
10. ରାଜ୍ୟସଭାର ସଦସ୍ୟମାନେ ପରୋକ୍ଷ ଭାବେ ନିର୍ବାଚିତ ହୁଅନ୍ତି ।
11, ଆମ ଦେଶରେ ଲୋକସଭା ଓ ରାଜ୍ୟ ବିଧାନସଭା ପାଇଁ ପ୍ରତିନିଧୂ ଚୟନ ପରୋକ୍ଷ ନିର୍ବାଚନ ମାଧ୍ୟମରେ କରାଯାଇଥାଏ ।
12. ଭାରତରେ ଜଣେ ମତଦାତାଙ୍କର ସର୍ବନିମ୍ନ ବୟସସୀମା ୨୧ ବର୍ଷ ରଖାଯାଇଛି ।
13. ଦେଶର ରାଜ୍ୟ ସ୍ତରରେ ଥ‌ିବା ବିଧାନସଭାର ନିର୍ବାଚିତ ସଦସ୍ୟମାନେ ଲୋକସଭାର ସଦସ୍ୟମାନଙ୍କୁ ନିର୍ବାଚିତ କରନ୍ତି ।
14. ବିଧାନ ପରିଷଦର ସଦସ୍ୟମାନେ ଲୋକମାନଙ୍କଦ୍ୱାରା ପ୍ରତ୍ୟକ୍ଷ ଭାବରେ ନିର୍ବାଚିତ ହୁଅନ୍ତି ।
15. ଆମ ସମ୍ବିଧାନର ୩୨୪ ଧାରାରେ ସାର୍ବଜନୀନ ସାବାଳକ ମତଦାନ ପ୍ରଥା ବିଷୟରେ ଉଲ୍ଲେଖ କରାଯାଇଛି ।
16. ଗଣତନ୍ତ୍ର ଶାସନରେ କ୍ଷମତାର ବିକେନ୍ଦ୍ରୀକରଣ ପାଇଁ ନିର୍ଦ୍ଦିଷ୍ଟ ବ୍ୟବସ୍ଥା ରହିଛି ।
17. ଭାରତରେ ନାଗରିକମାନଙ୍କର ମୌଳିକ ଅଧିକାରକୁ ସୁରକ୍ଷିତ ରଖାଯାଇଅଛି ।
18. ୧୯୪୬ ମସିହା ଡିସେମ୍ବର ମାସ ୯ ତାରିଖରେ ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭାର ଦ୍ବିତୀୟ ବୈଠକ ବସିଥିଲା ।

Answer:
1. x
2. x
3. x
4. x
5. x
6. x
7. ✓
8. ✓
9. ✓
10. ✓
11. x
12. x
13. x
14. x
15. x
16. ✓
17. ✓
18. x

BSE Odisha 10th Class Political Science Solutions Chapter 2 ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା

E. ‘କ ‘ସ୍ତମ୍ଭ ସହିତ ‘ଖ’ ସ୍ତମ୍ଭର ମିଳନ କର ।

E. ‘କ ‘ସ୍ତମ୍ଭ ସହିତ ‘ଖ’ ସ୍ତମ୍ଭର ମିଳନ କର ।
Answer:
E. ‘କ ‘ସ୍ତମ୍ଭ ସହିତ ‘ଖ’ ସ୍ତମ୍ଭର ମିଳନ କର । Answer

2.
E. ‘କ ‘ସ୍ତମ୍ଭ ସହିତ ‘ଖ’ ସ୍ତମ୍ଭର ମିଳନ କର । Question 2
Answer:
E. ‘କ ‘ସ୍ତମ୍ଭ ସହିତ ‘ଖ’ ସ୍ତମ୍ଭର ମିଳନ କର । Answer 2

CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations

Odisha State Board CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations will enable students to study smartly.

CHSE Odisha 12th Class Math Notes Chapter 11 Differential Equations

(a) Differential equation:
It is an equation involving independent variables, dependent variables and their derivatives.

(b) Ordinary D.E:
Differential equation that contains derivatives with respect to a single independent variable.

(c) Partial D.E:
Differential equation that contains derivatives with respect to more than one independent variable.

(d) Order of a D.E:
Order of a differential equation is the order of the highest order derivative occurs in the equation.
eg. \(\frac{d^3 y}{d x^3}+\left(\frac{d y}{d x}\right)^5\)+ y = 0 is of order – 3.

(e) Degree of D.E:
Degree of a differential equation is the power of the highest order derivative occurs in the equation after changing to integral powers.
In the above example the degree is ‘1’.

CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations

(f) Formation of a D.E:
(i) Differential equation for f(x, y, a) = 0 … (1)
can be obtained by eliminating a from (1) and
\(\frac{d}{d x}\)f(x, y, a) = 0 … (2)
(ii) Differential equation for
f(x, y, a, b) = 0 … (1)
can be obtained by eliminating a, b from (1),
\(\frac{d}{d x}\)f(x, y, a, b) = 0 … (2)
and \(\frac{{d}^2}{{dx}^2}\)f(x, y, a, b) = 0 … (3)

(g) Solution of a D.E:
A solution of a differential equation is a function which satisfies the given equation.
General Solution: A solution is a general solution if it contains as many arbitrary constants as the order of the differential equation.
Particular Solution: It is a solution that can be obtained by giving particular values to the arbitrary constants.
Singular Solution: The solutions which can not be obtained from the general solution are singular solution.

(h) First order and first degree differential equation:
Definition:
A first order first degree differential equation takes the form
\(\frac{d y}{d x}\) = f(x, y)

Standard types and methods of solution:
(i) Variable separable:
If we can express \(\frac{d y}{d x}\) = f(x, y) in the form N(y) dy = M(x) dx
then we can get a solution by direct integration. The reduced equation is called equation with separable variables.

(ii) Equations reducible to variables separable form:
If the equation is in the form
\(\frac{d y}{d x}\) = f(ax + by + c) then pur z = ax + by + c to reduce the equation to variable separable form.
The equations of the form \(\frac{d y}{d x}=\frac{a_1 x+b_1 y+c_1}{a_2 x+b_2 y+c_2}\) where \(\frac{a_1}{a_2}=\frac{b_1}{b_2}\) can be reduced to variable separable form by putting z = a1x + b2y.

(iii) Homogeneous differential equation:
A differential equation of the form \(\frac{d y}{d x}=\frac{f(x, y)}{g(x, y)}\) where f(x, y) and g(x, y) are homogeneous function of x, y and of same degree is a homogeneous differential equation.
Solution process:
Put y = vx, \(\frac{d y}{d x}=v+x \frac{d v}{d x}\) to reduce the equation to variable separable form. Then solve

CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations

(iv) Equations reduciable to homogeneous form:
Form of the equation:
CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations 1
CHSE Odisha Class 12 Math Notes Chapter 11 Differential Equations 2

Homogeneous equations:
Let f(x,y) and g(x, y) be homogeneous functions of x and y of same degree.
Then \(\frac{d y}{d x}=\frac{f(x, y)}{g(x, y)}\) is called a homogeneous differential equation.
For homogeneous differential equation put y = vx and the proceed.

BSE Odisha 10th Class Political Science Solutions Chapter 1 ନୂତନ ରାଜ୍ୟଗୁଡ଼ିକର ଗଠନ

Odisha State Board BSE Odisha 10th Class Political Science Solutions Chapter 1 ନୂତନ ରାଜ୍ୟଗୁଡ଼ିକର ଗଠନ Textbook Exercise Questions and Answers.

BSE Odisha Class 10 Political Science Solutions Chapter 1 ନୂତନ ରାଜ୍ୟଗୁଡ଼ିକର ଗଠନ

୧. ପ୍ରତ୍ୟେକ ପ୍ରଶ୍ନର ଉତ୍ତର ପ୍ରାୟ ୬୦ ଗୋଟି ଶବ୍ଦରେ ଲେଖ ।

(କ) ଗୋଆ ରାଜ୍ୟ ଗଠନ ସମ୍ପର୍କରେ ଆଲୋଚନା କର ।
Answer:

  • ୧୯୬୧ ମସିହା ଡିସେମ୍ବର ମାସ ୧୯ ତାରିଖ ଦିନ ଗୋଆ, ଡାମନ ଓ ଡିଉ ଭାରତରେ ମିଶିଲା ।
  • ଏହା ପୂର୍ବରୁ ଦୀର୍ଘ ୪୫୦ ବର୍ଷ ଧରି ଏହି ଅଞ୍ଚଳ ପର୍ତ୍ତୁଗାଲ ଅଧୀନରେ ଥିଲା ।
  • ଭାରତ ସହିତ ମିଶିବା ପରେ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ବଳରେ ଏହି ଅଞ୍ଚଳ ପ୍ରଥମେ ଏକ କେନ୍ଦ୍ରଶାସିତ ଅଞ୍ଚଳର ମାନ୍ୟତା ପାଇଥିଲା ।
  • ୧୯୮୭ ମସିହାର ଗୋଆ ରାଜ୍ୟ ପୁନର୍ଗଠନ ଆଇନ ବଳରେ ୧୯୮୭ ମସିହା ମେ ମାସ ୩୦ ତାରିଖରେଏକ ରାଜ୍ୟର ମାନ୍ୟତା ପାଇଥିଲା ।

(ଖ) ‘କ’ ଶ୍ରେଣୀର ରାଜ୍ୟଗୁଡ଼ିକର ନାମ ଲେଖ ।
Answer:

  • ନୂତନ ସମ୍ବିଧାନର ପ୍ରଥମ ପରିଶିଷ୍ଟରେ ସୂଚିତ ତାଲିକା ଅନୁସାରେ ନଅଗୋଟି ରାଜ୍ୟକୁ ‘କ’ ଶ୍ରେଣୀଭୁକ୍ତ କରାଯାଇଥିଲା । ସେହିସବୁ ରାଜ୍ୟର ଶାସନ ମୁଖ୍ୟଭାବେ ରାଷ୍ଟ୍ରପତିଙ୍କ ଦ୍ବାରା ନିଯୁକ୍ତ ଜଣେ ଜଣେ ରାଜ୍ୟପାଳ ରହିଲେ ।
  • ଏହି ନଅ ଗୋଟି ପ୍ରଦେଶ ପ୍ରାକ୍ତନ ବ୍ରିଟିଶ୍ ଶାସନାଧୀନ ଭାରତୀୟ ପ୍ରଦେଶ ଥିଲା ।
  • ୧୯୫୦ ମସିହାର ନୂତନ ସମ୍ବିଧାନ କାର୍ଯ୍ୟକାରୀ ହେବାପରେ ଏହି ରାଜ୍ୟଗୁଡ଼ିକ ‘କ’ ଶ୍ରେଣୀଭୁକ୍ତ ରାଜ୍ୟଭାବେ ଗ୍ରହଣ କରାଗଲା ।
  • ସେହି ‘କ’ ଶ୍ରେଣୀଭୁକ୍ତ ରାଜ୍ୟଗୁଡ଼ିକ ହେଲା – ଆସାମ, ବିହାର, ବମ୍ବେ, ମଧ୍ୟପ୍ରଦେଶ, ମାଡ୍ରାସ, ଓଡ଼ିଶା, ପଞ୍ଜାବ, ସଂଯୁକ୍ତ ପ୍ରଦେଶ ଓ ପଶ୍ଚିମବଙ୍ଗ ।

BSE Odisha 10th Class Political Science Solutions Chapter 1 ନୂତନ ରାଜ୍ୟଗୁଡ଼ିକର ଗଠନ

(ଗ) ଦିଲ୍ଲୀ ଶାସନ ବ୍ୟବସ୍ଥା ଆଲୋଚନା କର ।
Answer:

  • ୧୯୮୭ ମସିହାଠାରୁ ଦିଲ୍ଲୀକୁ ଏକ କେନ୍ଦ୍ରଶାସିତ ଅଞ୍ଚଳ ଭାବେ ଘୋଷଣା କରାଯାଇଥିଲା । କିନ୍ତୁ ୧୯୯୨ ମସିହାଠାରୁ ଏହାକୁ ଏକ ସ୍ଵତନ୍ତ୍ର ରାଜ୍ୟର ମାନ୍ୟତା ମିଳିଛି ।
  • ୧୯୯୨ ମସିହା ଫେବୃୟାରୀ ୧ ତାରିଖ ଦିନଠାରୁ ସମ୍ବିଧାନର ଧାରା ୨୩୯(କ) (କ) ଓ ୨୩୯(କ) (ଖ), ଏବଂ ୬୯ ତମ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ବଳରେ ସମ୍ବିଧାନରେ ଏହି ନୂତନ ବ୍ୟବସ୍ଥା ଯୋଗ କରାଯାଇ ଦିଲ୍ଲୀକୁ ‘‘ଜାତୀୟ ରାଜଧାନୀ ଅଞ୍ଚଳ’’ର ମାନ୍ୟତା ମିଳିଛି ।
  • ୧୯୯୩ ମସିହା ପରଠାରୁ ଦିଲ୍ଲୀପାଇଁ ଗୋଟିଏ ବିଧାନସଭା ଓ ଗୋଟିଏ ମନ୍ତ୍ରିପରିଷଦର ବ୍ୟବସ୍ଥା କରାଯାଇଛି ।
  • କେବଳ ରାଜ୍ୟ ତାଲିକାଭୁକ୍ତ ତିନୋଟି ବିଷୟ; ଯଥା – ଆଇନ ଓ ଶାନ୍ତିଶୃଙ୍ଖଳାରକ୍ଷା, ପୋଲିସ୍ ଓ ଜମିଜମା ବିଷୟ ବ୍ୟତୀତ ଅନ୍ୟ ସମସ୍ତ ବିଷୟରେ ଆଇନ ପ୍ରଣୟନ କ୍ଷମତା ଦିଲ୍ଲୀ ବିଧାନସଭାର ଅଛି ।
  • ଦିଲ୍ଲୀର ଶାସନମୁଖ୍ୟ ହେଉଛନ୍ତି ରାଷ୍ଟ୍ରପତିଙ୍କଦ୍ୱାରା ନିଯୁକ୍ତ ଜଣେ ଉପରାଜ୍ୟପାଳ ବା ଲେଫ୍‌ଟନନାଣ୍ଡ ଗଭର୍ଣ୍ଣର

(ଘ) ଭାଷାଭିତ୍ୟିକ ପ୍ରଦେଶ ଆୟୋଗର କେଉଁମାନେ ସଦସ୍ୟ ଥିଲେ ଏବଂ ଏହି ଆୟୋଗର ସୁପାରିସ କ’ଣ ଥିଲା ?
Answer:

  • ୧୯୪୮ ମସିହାରେ ‘ଭାଷାଭିଭିକ ପ୍ରଦେଶ ଆୟୋଗ’ ଗଠନ କରାଯାଇଥିଲା ।
  • ଏହି ଆୟୋଗ ଗଠନ ପାଇଁ ସମ୍ବିଧାନ ପ୍ରଣୟନ ସଭା ସୁପାରିସ କରିଥିଲା ।
  • ଏଥରେ ଯେଉଁ ତିନିଜଣ ସଦସ୍ୟ ରହିଲେ, ସେମାନେ ହେଲେ ପଣ୍ଡିତ ଜବାହରଲାଲ ନେହେରୁ, ସର୍ଦାର ବଲ୍ଲଭ ଭାଇ ପଟେଲ ଓ ପଟ୍ଟାଭି ସୀତାରାମାୟା ।
  • ଏହି ଆୟୋଗ ଭାଷାଭିଭିକ ରାଜ୍ୟ ଗଠନର ବିରୋଧୀ ଥିଲା ସତ, ମାତ୍ର ଆନ୍ଧ୍ରପ୍ରଦେଶ ଗଠନ ଦିଗରେ ଆୟୋଗର

୨. ପ୍ରତ୍ୟେକ ପ୍ରଶ୍ନର ଉତ୍ତର ପ୍ରାୟ ୨୦ ଗୋଟି ଶବ୍ଦରେ ଲେଖ ।

(କ) ପଣ୍ଡିଚେରୀ / ପୁଡୁଚେରୀର ସାମ୍ବିଧାନିକ ବ୍ୟବସ୍ଥା ।
Answer:

  • ୧୯୬୨ ମସିହା ଡିସେମ୍ବର ମାସର ଚତୁର୍ଦ୍ଦଶ ସମ୍ବିଧାନ ସଂଶୋଧନ ଆଇନ ଅନୁସାରେ ପଣ୍ଡିଚେରୀ ଏକ କେନ୍ଦ୍ରଶାସିତ ଅଞ୍ଚଳର ମାନ୍ୟତା ପାଇଥିଲା ।
  • ୧୯୭୪ ମସିହାଠାରୁ ଏଠାରେ ଏକ ବିଧାନସଭା ଓ ମନ୍ତ୍ରିପରିଷଦର ବ୍ୟବସ୍ଥା ରଖାଯାଇଛି । ଏହାର ଶାସନମୁଖ୍ୟ ହେଉଛନ୍ତି ରାଷ୍ଟ୍ରପତିଙ୍କଦ୍ୱାରା ନିଯୁକ୍ତ ଜଣେ ଉପରାଜ୍ୟପାଳ ବା ଲେଫ୍‌ଟନନାଣ୍ଡ ଗଭର୍ଣ୍ଣର ।

BSE Odisha 10th Class Political Science Solutions Chapter 1 ନୂତନ ରାଜ୍ୟଗୁଡ଼ିକର ଗଠନ

(ଖ) ‘ଖ’ ଶ୍ରେଣୀଭୁକ୍ତ ରାଜ୍ୟମାନଙ୍କର ମୁଖ୍ୟଙ୍କୁ କ’ଣ କୁହାଯାଏ ?
Answer:

  • ‘ଖ’ ଶ୍ରେଣୀରେ ପାଞ୍ଚଗୋଟି ରାଜ୍ୟ ଥିଲା ।
  • ‘ଖ’ ଶ୍ରେଣୀଭୁକ୍ତ ରାଜ୍ୟମାନଙ୍କର ଶାସନମୁଖ୍ୟଙ୍କୁ ‘ରାଜ୍ୟ ପ୍ରମୁଖ’ କୁହାଯାଉଥିଲା ।

(ଗ) ଜାମ୍ମୁ ଓ କାଶ୍ମୀରକୁ ବର୍ତ୍ତମାନ କେଉଁ ଶ୍ରେଣୀଭୁକ୍ତ କରାଯାଇଛି ?
Answer:

  • ୨୦୧୯ ମସିହା ଅକ୍ଟୋବର ୩୧ ତାରିଖରେ ଜାମ୍ମୁ ଓ କାଶ୍ମୀର ରାଜ୍ୟ ପୁନର୍ଗଠନ ଆଇନ ୨୦୧୯ ଅନୁସାରେ ଜାମ୍ମୁ ଓ କାଶ୍ମୀରକୁ ବିଭାଜନ କରାଯାଇଥିଲା ।
  • ଜାମ୍ମୁ ଓ କାଶ୍ମୀର ଏବଂ ଲଦାଖ ନାମକ ଦୁଇଟି କେନ୍ଦ୍ରଶାସିତ ଅଞ୍ଚଳ ଭାବେ ଗଠିତ ହୋଇଛି । ଫଳରେ ଆମ ଦେଶରେ କେନ୍ଦ୍ରଶାସିତ ଅଞ୍ଚଳ ସଂଖ୍ୟା ୭ରୁ ୯ କୁ ବୃଦ୍ଧିପାଇଛି ।

CHSE Odisha Class 12 Math Notes Chapter 8 Application of Derivatives

Odisha State Board CHSE Odisha Class 12 Math Notes Chapter 8 Application of Derivatives will enable students to study smartly.

CHSE Odisha 12th Class Math Notes Chapter 8 Application of Derivatives

Tangents and normals:
(a) If y = f(x) is the equation of any curve then = The slope of the tangent at P(x1, y1).
(b) Slope of the normal at (x1, y1)
(c) Equation of tangent at P(x1, y1) is y – y1 =
(d) Equation of normal at P(x1, y1) is y – y1 =
(e) Angle between two curves is the angle between two tangents at the point of contact.

Increasing and decreasing functions:
If y = f(x) is defined in [a, b] then
(i) f'(x) > 0, x ∈ (a, b)
⇒ f is strictly increasing on (a, b).
(ii) f'(x) > 0, x ∈ (a, b)
⇒ f is monotonic increasing on (a, b).
(iii) f'(x) < 0, x ∈ (a, b)
⇒ f is strictly decreasing on (a, b).
(iv) f'(x) < 0, x ∈ (a, b)
⇒ f is monotonic decreasing on (a, b).
(v) f'(x) = 0, x ∈ (a, b)
⇒ f is a constant function on (a, b).

CHSE Odisha Class 12 Math Notes Chapter 8 Application of Derivatives

Approximation:
(a) If y = f(x) is a function and δx is a very small change in x then the respective change in y is δy given by
δy = f'(x) δx => dy = f'(x) δx.
∴ The approximate value of y = f(x) at
x = a + δx is f(a + δx)
= f(a) + f(a) δx

Maxima and minima:
(a) First derivative criteria to find max/min of y = f(x)
Algorithm:
Step-1 : Put and solve for x.
Let x = a, b, c ……
Step-2 : If changes sign from (+ve) to (-ve) in then at x = a, ‘f’ has a local maximum. If changes sign from (-ve) to (+ve) in then at x = a, f has a local minimum. If in thenat x = a ‘f’ has neither maxima nor a minima (it may be a point of inflexion).

(b) Second derivative criteria
Algorithm:
Step-1 : Find the roots of f'(x) = 0.
Let they are a, b, c ……
Step-2 : Find f”(x) and put x = a, b, c ……
(i) If f”(a) > 0 then at x = a, f has a local minimum.
(ii) If f”(a) < 0 then at x = a, f has a local maximum.
(iii) If f”(a) = 0 and f”(x) changes sign in (a – δ, a + δ) then x = a is a point of inflexion.
(iv) If f”(a) = 0 and f”(x) does not change sign in then use first derivative criteria to check for maxima/minima.

Mean Value Theorems:
(a) Rolle’s theorem:
If a function f is
(i) continuous on the closed interval [a, b]
(ii) differentiable on the open interval (a, b) and
(iii) f(a) = f(b) then there exists a point c ∈ (a, b) such that f(c) = 0.
Geometrical interpretation:
If f is continuous on [a, b], differentiable on (a, b) and f(a) = f(b) then there exists atleast one point c ∈ (a, b) such that at x = c the tangent is parallel to x-axis.
Algebraic interpretation:
Between two roots ‘a’ and ‘b’ of f(x) there exists atleast one root of f'(x).

(b) Cauchy’s Mean Value theorem:
If ‘f’ and ‘g’ are two functions such that
(i) both are continuous on [a, b]
(ii) both are differentiable on (a, b) and
(iii) g'(x) ≠ 0 for any x ∈ (a, b) then there exists atleast one point c ∈ (a, b) such that
Geometrical interpretation:
The conclusion of Cauchy’s theorem can be written as i.e. the ratio of the mean rate of increase of two functions in an interval equals to the ratio of actual rate of increase at some point of the interval.

CHSE Odisha Class 12 Math Notes Chapter 8 Application of Derivatives

(c) Lagrange’s Mean Value theorem:
If a function f is
(i) continuous on the closed interval [a, b]
(ii) differentiable on the open interval(a, b) then there exists atleast one c ∈ (a, b), such that.
Geometrical interpretation:
Between two points A and B of the graph of y = f(x) there exists atleast one point c such that the tangent is parallel to the chord AB.

Indeterminate forms & L’Hospitals rule:
A limit is said to be in indeterminate form if it takes any of the forms.
Note:
If a limit is in indeterminate form then it can be evaluated using the following methods.
(i) Change the function to determinate form (by rationalisation, expansion or any other means) then find the limit.
Or, (ii) Bring to form then use L’Hospitals rule.
L’Hospitals rule:
Let f and g are two functions differentiable on some open interval containing ‘a’ such that g'(x) ≠ 0 for x ≠ a and g(a) = f(a) = 0, then provided the latter limit exists.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

Odisha State Board CHSE Odisha Class 11 Alternative English Solutions Grammar Non-finite Verb forms Exercise Questions and Answers.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

Verbs can be classified into the following classes, such as:
i) Auxiliary Verbs,
ii) Ordinary Verbs,
iii) Verbs of Incomplete Prediction.

We have already discussed Auxiliary verbs.
ii) Ordinary Verbs :
Ordinary verbs are of the following two types, such as
a) Finite Verbs,
b) Non-finite verbs.

We have to discuss, here non-finite verbs
(b) Non-finite Verbs:
These verbs do not change according’ to the number, person or tense of the subjects.
Kinds of Non-finite verbs:
Non-finite verbs can be classified as the following types, such as
1) Infinitive,
2) Gerund,
3) Participle.

1) Infinitive :
These verbs do not have application in any sentence; They are simply mentioned. Actually, an infinitive is formed by adding ‘to’ to the first form of the verb. (V+to)
Examples:
1. They wish to go.
2. She began to weep.
3. My ambition is to become a teacher.
4. We eat to live.
5. Have you a pen to spare?
6. I expect her to solve the problem.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

Of course, an infinitive can sometimes be used without ‘to’, such as
1. Please let her speak.
2. We saw the actress dance.
3. You need not come here.
4. I made him sing.

To has not been used with the verbs, speak, dance came and sing in the above sentences.
However, note that ‘to’ is normally used with the following verbs, such as- bid, behold, dare, feel, hear, help, know, let, like, make, need, observe, please, watch etc.
Of course, ‘to’ is not used with/after but meaning except.
Examples :
1. She did nothing but cry.
2. We would do nothing but gossip.

Again ‘to’ is not used with/after ‘had better’, ‘had rather’, ‘had sooner’, ‘rather, than’, ‘sooner than’ and would rather’ etc.
Examples :
1. You had better wash your face.
2. You had rather done your homework.
3. I would rather quit the job than apologies.
4. I would sooner die than drink.

Some other uses of Infinitives (Use of ‘to’)
i) It is used after ‘too+adjective’, as Examples:
1. She is too weak, to walk.
2. He is too bulky to run.

ii) It is used after ‘enough’, as-
1. She is strong enough to defend herself.
2. He is wise enough to solve this problem.

iii) By using ‘to’ on removing the Relative clauses, as-
Examples:
1. My mother give me a coffee which I could eat. or My mother gave me a coffee to eat.
2. No one is here who will help you or No one is here to help you.

iv) It is used to show disappointment/despair, as-
Example:
1. She opened the box and found it empty or She opened the box to find it empty. Actually, infinitives are , normally used as objects of the verbs given below
Agree, arrange, attempt, consent, care, cease, choose, claim, decide, determine, expect, endeavor, forget, fail, hope, hesitate, learn, long, manage, neglect, offer, propose, promise, prepare, pretend, remember, regret, refuse, swear, seem, try, threaten, undertake, want, wish, etc!

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

Examples :
1. I wish to tell you a secret.
2. I have decided to attend the meeting.
3. He “wants to help you.
4. She expects you to do her work.
5. She stood from the chair to welcome me.
6. It is kind of her to help you.
7. Give me a book to read.
8. He was made to run a mile.
9. He failed to obtain first class.
10. I remember to bring your book.

ii) Gerund:

The nouns .working as ion-finite verbs are called ‘Gerunds’. The Gerund’ is used to show an action.
Examples :
1. Smoking is a bad habit.
2. Her favourite hobby is dancing.
3. He likes drinking.
4. I am sick of waiting.
5. It is no use crying over spilt milk.

A Gerund may be used at the beginning, in the middle (interior) or at the end of a sentence.
On reading the above sentences, we can safely say that Gerunds can be used in the following manners.
1) As subject of the sentence.(see sentence No.1)
2) As subject complement of the verbs (sentence No.2)
3) As object to the verb. (sentence No.3)
4) As object to the preposition. (sentence No.4)
5) As case in Apposition of ‘it’ pronoun,

Other Information About The Use Of Gerund:

i) As full Gerunds; as- Ex. Reading the religious books being his habit, we like him.
ii) The use of Gerund as perfect form (having + 3rd form of verb): as Ex. He will never admit having broken the glass.
iii) A ‘Gerund’ is used in place of an ‘Infinitive’ after the prepositions: as Ex. She is good at singing songs.
iv) Possessive pronouns can also be used with ‘Gerunds’: as Ex. I know Hari’s visiting her frequently.

Note that Infinitives and Gerunds are called Verbal Nouns. We can apply both Infinitive and Gerunds as objects of the following verbs:
Advice, allow, attempt, begin, be afraid (of), continue, can’t bear, go, hate, intend, love,, like, mean, need, prefer, permit, propose, recommend, require, remember, request, start, stop, try, used to, wants etc.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

Examples :
He began to go to school or
He began going to school.
We normally us Genmds as objects of the following verbs:
Avoid, admit, anticipate, complete, consider, can’t stand (endure), detest, deny, delay, defer, enjoy, excuse, fancy, finish, forgive, give up, involve, imagine, keep, miss, mind, prevent, postpone, pardon, put off, practice, risk, resent, recollect, resist, suggest, save etc.
Example: He can’t give up smoking.

iii) Participle:

These non-finite verbs can be used both as adjectives and as adverbs. Therefore, they are called verbal adjectives.

Kinds Of Participles:
1. Present Participle : (Vi+ing), (first form of the verb+ing)
Ex. Flowing water is pure. Here, the verb flowing shows the continuity of the action.
2. I have a complaining child. Here, the word complaining has been used as an adjective to qualify the noun ‘Child’.
3. The sight was charming. Here, the word charming being the complement the verb ‘was’ as also the complement of the subject, ‘The sight’.
4. I saw her smoking. Here, the word smoking is the comple-ment of the object her’.
5. Nina came to me crying. Here, two
actions (came and cry) have taken place at the same time (simultaneously). Therefore, the more significant out of the two actions ‘cry’. has been shown by present participle.
6. Seeing the police, the thief hid behind the wall. Here, the same object (thief) performs two actions, (see and hide). The former action takes the present participle under such situation.
7. He took up the bag, he ran away. Here, both actions take place simultaneously or Taking up his bag, he ran away. Here, present Participle has been used to connect two sentences. ‘Taking up his bag’ is a ‘participle phrase’.
8. God willing, I shall get first division. Here, present principle has been used in ‘God willing’ because of it. (which) is an Absolute Phrase.

2. Past Participle : (VIII) Third form of the Verb.
Ex. This is a spoilt child. Here, the use of the word ‘spoil’ shows the completion of the action ‘spoilt’.
1. The tired traveller fell asleep. Here, the word ‘tired’ functions as the adjective of the noun ‘traveller’.
2. She looks worried and dejected. Here, the words ‘worried and dejected’ are functioning as adjectives. Being the complement of the verb ‘looks’. They are also the complements of the subject ‘she’.
3. He got his hair cut. Here, the word ‘cut’ is the complement of the subject ‘hair’.
4. The decision taken at the right time is always rewarding. Here, the word ‘taken’ as a past participle. While qualifying the Noun adjectival phrase.
Note that such Adjectival Phrases are often used after the noun, they qualify. ‘decision’, it also helps in the formation of an
5. The Chairman left the meeting fully, the word ‘satisfied’ is a participle which is modifying the verb ‘left’. Hence, it is functioning as adverb.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms

3. Perfect Participle : (having +VIII).
Ex. Mita has taken a breakfast. She is getting ready for school or Having taken her breakfast, Mita is getting ready for school. Here, two such sentences which lack quickness in action have been combined by using a/he perfect participle:
Note that the second action ‘got’ ready came into force on the completion of the first action (taken her breakfast). There can be a little or more duration of time between both actions.
1. School over, the students came out Here, school over school having been over perfect participle ‘having been’ can be inferred or school having been over, the students came out.
2. The Sun rose and we returned home,(As soph as the Sun rose, we returned home) or No sooner did the Sun rose, than we returned home.
The above sentence is a compound structure. The second action has been completed, immediately after the completion of the first action. The sentence can also be written as: The Sun having risen, we returned home by using the Perfect Participle.
3. (i) The order has been placed, and (ii) No change is possible now. Here, sentence No.4 (i) is a Passive- 5. Voice sentence and sentence No.4 (ii) is an Active-Voice sentence. We can also use perfect participle and write the two sentences as The order having been placed, no change
is possible now.

Exercise For Practice :
Fill in the blanks with, suitable Non-finite verb forms (In-finitive/Gerund/Participles).
1. _________ (drink) in the open is prohibited.
2. A _________(drown) man catches at a straw.
3. _________ (bark) dog seldom bite.
4. The _________ (lose) child was restored.
5. _________ (dance) is an art.
6. The arrangements _________(make), no change is possible now.
7. My mother looked _________ (frighten)
8. He is fond of I found her _________ (read).
9. I found her _________ (weep)
10. _________ (finish) my work, I went out to play.
11. _________ (spill) sold is thought to, bring, ill luck
12. _________ (come) events cost their shadows before.
13. _________ (smoke) is a bad habit.
14.The girls are feeling _________(bore).
15. A _________ (roll) stone gathers no moss.
16. She found her mirror _________ (break).
17. _________(thunder) clouds seldom rain.
18. He wants _________(take) tea.
19. _________(take) her breakfast, Sushma is getting ready for college.
20._________(see) the tiger, she fainted.

CHSE Odisha Class 11 Alternative English Grammar Non-finite Verb forms
Answer:
1. Drinking in the open is prohibited.
2. A drowning man catches at a straw.
3. Barking dogs seldom bite.
4. The lost child was restored.
5, Dancing is an art.
6. The arrangements having been made, no change is possible now.
7. My mother looked frightened.
8. He is fond of reading.
9. I found her weeping.
10. Having finished ray work, 1 went out to play.
11. Spilling salt is thought to bring ill luck.
12. Coming events cast their shadows, before!
13. Smoking is a bad habit.
14. The girls are feeling bored:
15. A rolling stone gathers no moss.
16. She found her mirror broken.
17. Thundering clouds seldom rain.
18. He wants to take tea.
19. Having taken her breakfast Sushma is getting ready for college.
20. Having seen the tiger, she fainted.

CHSE Odisha Class 12 Math Notes Chapter 9 Integration

Odisha State Board CHSE Odisha Class 12 Math Notes Chapter 9 Integration will enable students to study smartly.

CHSE Odisha 12th Class Math Notes Chapter 9 Integration

Indefinite integral:
If \(\frac{d}{d x}\)F(x) = f(x) then the indefinite integral of f(x) w.r.t x is
∫f(x)dx = F(x) + C
which represents the entire class of anti-derivatives.

(a) Algebra of integrals:
(i) ∫[f(x) ± g(x)] dx = ∫f(x) dx ± ∫g(x) dx
(ii) ∫af(x) dx = α ∫f(x) dx
(iii) ∫f(x) g(x) dx = f(x) ∫g(x) dx – ∫\(\left[(\frac{d}{d x} f(x)\right) \cdot \int g(x) d x]\) dx (Integration by parts)

(b) Some standard indefinite integrations:
(1) ∫xn dx = \(\frac{x^{n+1}}{n+1}\) + C, n ≠ (-1)
(2) ∫\(\frac{d x}{x}\) = loge|x| + C.
(3) ∫sin x dx = -cos x + C
(4) ∫cos x dx = sin x + C
(5) ∫tan x dx = -log |cos x| + C or log |(sec x)| + C
(6) ∫cot x dx = log |(sin x)| + C or -log |(cosec x)| + C
(7) ∫sec x dx = log |sec x + tan x| + C
(8) ∫cosec x dx = log |cosec x – cot x| + C
(9) ∫sec2 x dx = tan x +C
(10) ∫cosec2 x dx = -cot x + C
(11) ∫sec x tan x dx = sec x + C
(12) ∫cosec x cot x dx = -cosec x + C
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 1

[Note: To integrate by parts choose 1st function according to I LATE]
Where I → Inverse trigonometric functions.
L → Logarithmic function
A → Algebraic function
T → Trigonometric function
E → Exponential function

(c) Techniques of integration:
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 2
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 3
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 4
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 5

Definite integration:
CHSE Odisha Class 12 Math Notes Chapter 9 Integration Notes 6

BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

Odisha State Board BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ will enable students to study smartly.

BSE Odisha Class 10 Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ଉପକ୍ରମ (Introduction) :

  • ଅଧୂକ । ଖାଦ୍ୟ, ବସ୍ତ୍ର, ବିଭିନ୍ନ ଔଷଧ, ଆସବାବପତ୍ର, କୋଇଲା, ପେଟ୍ରୋଲିୟମ୍, ପଲିମର ଇତ୍ୟାଦିରେ କାର୍ବନ ଅନ୍ୟ ମୌଳିକ ସହିତ ମିଶି ରହିଥାଏ ।
  • ସମସ୍ତ ଜୀବନ୍ତ ପଦାର୍ଥରେ କାର୍ବନ ଏକ ମୁଖ୍ୟ ଉପାଦାନ ।
  • କାର୍ବନ ଏକ ଅଧାତୁ ମୌଳିକ ଓ ଏହାର ପ୍ରତୀକ C ।
  • ପର୍ଯ୍ୟାୟ ସାରଣୀର ଦ୍ୱିତୀୟ ପର୍ଯ୍ୟାୟ ଓ ଗ୍ରୁପ୍ 14 ରେ କାର୍ବନ ଅବସ୍ଥିତ ।
  • କାର୍ବନ ଚତୁଃ ସଂଯୋଜୀ ।
  • ଭୂପୃଷ୍ଠରେ ଏବଂ ବାୟୁମଣ୍ଡଳରେ କାର୍ବନର ପରିମାଣ ଅତି ଅଳ୍ପ ।
  • ଖଣିଜ ରୂପରେ (କାର୍ବୋନେଟ୍, ହାଇଡ୍ରୋଜେନ କାର୍ବୋନେଟ୍, କୋଇଲା ଏବଂ ପେଟ୍ରୋଲିମରୂପେ) ଭୂପୃଷ୍ଠରେ କାର୍ବନର ପରିମାଣ ହେଉଛି ମାତ୍ର 0.02% ଏବଂ ବାୟୁମଣ୍ଡଳରେ କାର୍ବନ ଡାଇଅକ୍‌ସାଇଡ଼ର ପରିମାଣ 0.03% |

→ କାର୍ବନରେ ବନ୍ଧ – ସହସଂଯୋଗ୍ୟ ବନ୍ଧ (Bonding in Carbon – The Covalent Bond) :
ବିଦ୍ୟୁତ୍ ସଂଯୋଜ୍ୟ ବନ୍ଧ (Electrovalent Bond) :

  • ବିଦ୍ୟୁତ୍ ସଂଯୋଜ୍ୟ ଯୌଗିକ ବା ଆୟନିକ ଯୌଗିକ ଗଠନ ସମୟରେ ଗୋଟିଏ ପରମାଣୁରୁ ଅନ୍ୟ ଏକ ପରମାଣୁକୁ ଏକ ବା ଏକାଧ୍ଵ ଇଲେକ୍‌ଟ୍ରନ୍‌ର ସ୍ଥାନାନ୍ତରଣ ଫଳରେ ବନ୍ଧ ସୃଷ୍ଟି ହୋଇଥାଏ ।
  • ଏ ପ୍ରକାର ସ୍ଥାନାନ୍ତରଣରେ ଗୋଟିଏ ପରମାଣୁ ଇଲେକ୍‌ଟ୍ରନ୍ ତ୍ୟାଗ କରି ଏବଂ ଅନ୍ୟ ପରମାଣୁ ଇଲେକ୍‌ଟ୍ରନ୍‌ ଗ୍ରହଣ କରି ନିଜର ଅଷ୍ଟକ ସୂତ୍ର ସଂପୂର୍ଣ୍ଣ କରିଥାନ୍ତି ।
  • ଫଳରେ ଯୁକ୍ତ ଚାର୍ଜିତ କାଟାୟନ ଓ ବିଯୁକ୍ତ ଏନାୟନ ସୃଷ୍ଟି ହୋଇ ଦୃଢ଼ ବୈଦ୍ୟୁତିକ ଆକର୍ଷଣ ଦ୍ବାରା ସନ୍ଧି ଉପରେ ବିଦ୍ୟୁତ୍ ସଂଯୋଗ୍ୟ ବନ୍ଧ ବା ଆୟନିକ୍ ବନ୍ଧ ଗଠନ କରନ୍ତି ।
  • ଏହି ବନ୍ଧଦ୍ବାରା ଉତ୍ପନ୍ନ ଯୌଗିକକୁ ବିଦ୍ୟୁତ୍ ସଂଯୋଜ୍ୟ ଯୌଗିକ ବା ଆୟନିକ୍ ଯୌଗିକ କହନ୍ତି ।
    • ଆୟନିକ ଯୌଗିକଗୁଡ଼ିକର ଗଳନାଙ୍କ ଓ ସ୍ଫୁଟନାଙ୍କ ଅତି ଉଚ୍ଚ ହୋଇଥାଏ ।
    • ଏଗୁଡ଼ିକ ଦ୍ରବଣରେ କିମ୍ବା ତରଳ ଅବସ୍ଥାରେ ବିଦ୍ୟୁତ୍ ପରିବହନ କରନ୍ତି ।
    • ବିଦ୍ୟୁତ ସଂଯୋଗ୍ୟ ଯୌଗିକଗୁଡ଼ିକ ସାଧାରଣତଃ ଜଳରେ ଦ୍ରବଣୀୟ ଏବଂ କିରୋସିନି, ପେଟ୍ରୋଲ ଆଦି ଦ୍ରାବକରେ ଅଦ୍ରବଣୀୟ ଅଟନ୍ତି ।
      କାର୍ବନର କେତୋଟି ଯୌଗିକର ଗଳନାଙ୍କ ଓ ସ୍ଫୁଟନାଙ୍କ
      BSE Odisha 10th Class Physical Science Notes Chapter 4 img-1
  • (iv) ସାରଣୀରେ ଦିଆଯାଇଥିବା କାର୍ବନ ଯୌଗିକଗୁଡ଼ିକର ଗଳନାଙ୍କ ଓ ସ୍ଫୁଟନାଙ୍କ ବହୁତ୍ କମ୍ କାରଣ ଅଣୁଗୁଡ଼ିକ ମଧ୍ୟରେ ଆକର୍ଷଣ ବଳ ବେଶୀ ଦୃଢ଼ ନୁହେଁ ।
  • (v) କାର୍ବନ ଯୌଗିକଗୁଡ଼ିକ ବିଶେଷଭାବରେ ବିଦ୍ୟୁତ୍ କୁପରିବାହୀ । କାରଣ ଏହି ଯୌଗିକଗୁଡ଼ିକର ବନ୍ଧ କୌଣସି ଆୟନ ସୃଷ୍ଟିକରେ ନାହିଁ ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ କାର୍ବନ ସର୍ବଦା ସହସଂଯୋଜ୍ୟ ବନ୍ଧ ଗଠନ କରେ :

  • କାର୍ବନର ପରମାଣୁ କ୍ରମାଙ୍କ 6 ଓ ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା K(2) ଓ L(4) ।
  • ମୌଳିକଗୁଡ଼ିକର ପ୍ରତିକ୍ରିୟାଣାଲଗା ବୁଝାଇବାକ୍ତ ପେଗୁଡ଼ିକର ବାହ୍ୟତମ କକ୍ଷରେ ସମ୍ପୂର୍ଣ୍ଣ ମାତ୍ରାରେ ଇଲେକ୍‌ଟ୍ରନ ରହିବାପାଇଁ ଚେଷ୍ଟା ଅର୍ଥାତ୍ ନିକଟତମ ନିଷ୍କ୍ରିୟଗ୍ୟାସର ସଂରଚନା ଲାଭ କରିବାର ପ୍ରୟାସ କରେ ।
  • ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ ହିଲିୟମ୍‌ର K କକ୍ଷରେ 2ଟି ଇଲେକ୍‌ଟ୍ରନ ଓ ଅନ୍ୟ ଇଲେକଟ୍ରନ୍ ଅଛି । ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍‌ର ବହିଃସ୍ଥ କକ୍ଷରେ 8ଟି
  • ବାହ୍ୟତମ ଇଲେକ୍‌ଟ୍ରନ ଗ୍ରହଣ ବା ତ୍ୟାଗକରି ମୌଳିକ ଗୁଡ଼ିକ ଆୟନିକ ଯୌଗିକ ସୃଷ୍ଟିକରେ ।
  • କାର୍ବନର ବହିଃସ୍ଥ କକ୍ଷରେ 4ଟି ଇଲେକ୍‌ଟ୍ରନ ଅଛି । ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍‌ର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା ଧାରଣ କରିବାପାଇଁ ଚାରୋଟି ଇଲେକ୍‌ଟ୍ରନ ଗ୍ରହଣ କରିବା କିମ୍ବା ତ୍ୟାଗକରିବା ଆବଶ୍ୟକ । ପ୍ରୋଟନ ଥିବା ନ୍ୟୁକ୍ଲିୟସ କଷ୍ଟକର ।
  • ଯଦି କାର୍ବନ ଏତେ ସଂଖ୍ୟକ ଇଲେକ୍‌ଟ୍ରନ୍‌ ଗ୍ରହଣ କିମ୍ବା ତ୍ୟାଗ କରନ୍ତା ତେବେ ନିମ୍ନଲିଖ୍ ସମସ୍ୟା ହୁଅନ୍ତା ।
    • C ଏନାୟନ ସୃଷ୍ଟି କରିବାପାଇଁ 4ଟି ଇଲେକ୍‌ଟ୍ରନ ଆବଶ୍ୟକ । କିନ୍ତୁ ଟି ପାଇଁ 10ଟି ଇଲେକ୍‌ଟ୍ରନ ଅର୍ଥାତ୍ 4ଟି ଅଧ‌ିକ ଇଲେକ୍‌ଟ୍ରନ୍ ଆୟତ୍ତରେ ରଖ୍
    • C+ କାଟାୟନ ସୃଷ୍ଟିକରିବାକୁ ହେଲେ 4ଟି ଇଲେକ୍‌ଟ୍ରନ ତ୍ୟାଗକରିବା ଆବଶ୍ୟକ କାର୍ବନ ନ୍ୟୁକ୍ଲିୟସରୁ 4ଟି ଇଲେକ୍‌ଟ୍ରନକୁ ଅପସାରଣ କରିବାପାଇଁ ବହୁତ ଅଧିକ ଶକ୍ତି ଦରକାର ହେବ କାରଣ କାର୍ବନ କାଟାୟନ ଗଠନ ହେବାପାଇଁ କେବଳ 2ଟି ଇଲେକ୍‌ଟ୍ରନକୁ ଧରି ରଖୁବ । ଏହାର ନ୍ୟୁକ୍ଲିୟସରେ ଟି ପ୍ରୋଟନ ଥ‌ିବାରୁ ତାଠାରୁ 4ଟି ଇଲେକ୍‌ଟ୍ରନ ଦୂରେଇ ନେବା ପାଇଁ ଅଧିକ ଶକ୍ତି ଦରକାର ।
  • ତେଣୁ କାର୍ବନ ଏହାର ସଂଯୋଜକ ଇଲେକ୍‌ଟ୍ରନଗୁଡ଼ିକ ଅନ୍ୟ କାର୍ବନର ପରମାଣୁ ସହ କିମ୍ବା ଅନ୍ୟ ମୌଳିକର ପରମାଣୁ ସହ ସହଭାଜନ (sharing) ଦ୍ଵାରା ଅଣୁ ସୃଷ୍ଟି କରେ ଏବଂ ଉଭୟଙ୍କର ପରମାଣୁକୁ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ ସଂରଚନା ପ୍ରଦାନ କରେ । ଦୁଇ ପରମାଣୁ ମଧ୍ଯରେ ଇଲେକ୍‌ଟ୍ରନ ସହଭାଜନ ଦ୍ୱାରା ଗଠିତ ବନ୍ଧକୁ ସହ ସଂଯୋଜ୍ୟ ବନ୍ଧ କୁହାଯାଏ ।

→ ସହସଂଯୋଜ୍ୟ ବନ୍ଧର ପ୍ରକାରଭେଦ :
ସହ ସଂଯୋଗ୍ୟ ବନ୍ଧ ତିନି ପ୍ରକାରର ।

  • ଏକ ବନ୍ଧ: ପ୍ରତ୍ୟେକ ପରମାଣୁ ଗୋଟିଏ ଲେଖାଏଁ ଇଲେକ୍‌ଟ୍ରନ ସହ ପରସ୍ପର ଭାଗକରିଥାନ୍ତି, ଫଳରେ ଗୋଟିଏ ବନ୍ଧ ଗଠିତ ହୁଏ । ଉଦାହରଣ : ହାଇଡ୍ରୋଜେନ ଅଣୁ (H2) ।
  • ଦ୍ଵିବନ୍ଧ: ପ୍ରତ୍ୟେକ ପରମାଣୁ ଦୁଇଟି ଲେଖାଏଁ ଇଲେକ୍‌ଟ୍ରନ୍ ଭାଗକରି ଦୁଇଟି ବନ୍ଧ ଗଠନ କରନ୍ତି । ଉଦାହରଣ : ଅକ୍‌ସିଜେନ ଅଣୁ (O2 ) ।
  • ତ୍ରିବନ୍ଧ : ପ୍ରତ୍ୟେକ ପରମାଣୁ ତିନୋଟି ଲେଖାଏଁ ଇଲେକଟ୍ରନ୍ ଭାଗ କରିବାଦ୍ଵାରା ତ୍ରି-ବନ୍ଧ ଗଠିତ ହୁଏ । (N2) ।

→ (a) ଏକ ବନ୍ଧଥ‌ିବା ଅଣୁ :
ହାଇଡ୍ରୋଜେନ୍ ଅଣୁ :

  • ହାଇଡ୍ରୋଜେନର ପରମାଣୁ କ୍ରମାଙ୍କ 1 ।
  • ଏହାର K – କକ୍ଷରେ ଗୋଟିଏ ଇଲେକ୍‌ ଟ୍ରନ ରହିଛି ।
  • K-କକ୍ଷ ପୂର୍ଣ୍ଣ ହେବାପାଇଁ ଆଉ ଗୋଟିଏ ଇଲେକ୍‌ଟ୍ରନ ଦରକାର ।
  • ଗୋଟିଏ ହାଇଡ୍ରୋଜେନ ଅଣୁ ସୃଷ୍ଟିପାଇଁ ଦୁଇଟି ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ସେମାନଙ୍କର ଇଲେକ୍‌ଟ୍ରନ ଗୁଡ଼ିକୁ ପରସ୍ପର ମଧ୍ୟରେ ଭାଗ କରନ୍ତି ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-2
  • ଫଳରେ ପ୍ରତ୍ୟେକ ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ଏହାଦ୍ୱାରା ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ ପରମାଣୁ ହିଲିୟମ୍‌ର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା ଧାରଣ କରେ ।
  • ସଂଯୋଜକ ଇଲେକ୍‌ଟ୍ରନ୍ ପାଇଁ ଡଟ୍ ( · ) କିମ୍ବା ଛକି (x) ବ୍ୟବହାର କରାଯାଇଛି ।
  • ସହଭାଜିତ ଇଲେକ୍‌ଟ୍ରନ ଯୁଗଳ (shared pair of electrons) ଦୁଇଟି ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ମଧ୍ୟରେ ଏକ ବନ୍ଧ ଗଠନ କରିଛି ବୋଲି କୁହାଯାଏ।
  • ଗୋଟିଏ ଏକ ବନ୍ଧକୁ ଦୁଇଟି ପରମାଣୁ ମଧ୍ୟରେ ଏକ ରେଖାଖଣ୍ଡ (– ) ଦ୍ବାରା ଦର୍ଶାଯାଇଛି ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-3

→ କ୍ଲୋରିନ୍ ଅଣୁ:

  • କ୍ଲୋରିନ୍‌ର ପରମାଣୁ କ୍ରମାଙ୍କ 17 ଅଟେ ।
  • ଏହାର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା 2, 8, 7 1
  • ପ୍ରତି କ୍ଲୋରିନ୍‌ ପରମାଣୁର ବାହ୍ୟତମ କକ୍ଷରେ 7ଟି ଇଲେକ୍‌ଟ୍ରନ୍ ଥିବାରୁ ଯେତେବେଳେ ଦୁଇଟି କ୍ଲୋରିନ୍ ପରମାଣୁ ପରସ୍ପର ନିକଟତର ହୁଅନ୍ତି ।
  • ଉଭୟଙ୍କର ଗୋଟିଏ ଲେଖାଏଁ ଇଲେକ୍‌ଟ୍ରନ୍ ସେମାନଙ୍କ ମଧ୍ୟରେ ସହଭାଜିତ ହୁଅନ୍ତି ।
  • ସହଭାଜିତ ଇଲେକ୍‌ଟ୍ରନ୍‌ ଯୁଗଳରେ ଉଭୟ କ୍ଲୋରିନ୍ ପରମାଣୁ ନ୍ୟୁକ୍ଲିୟସ୍‌ ସମ୍ମିଳିତ ପ୍ରଭାବରେ ରହିଥାଏ ।
  • ଏହି ସମ୍ମିଳିତ ପ୍ରଭାବରୁ ଉତ୍ପନ୍ନ ଆକର୍ଷଣ ବଳଦ୍ୱାରା ପ୍ରତ୍ୟେକ କ୍ଲୋରିନ୍ ପରମାଣୁ ସହଭାଜନ ଫଳରେ ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ରର ସଂରଚନା ପ୍ରାପ୍ତ ହୁଏ।BSE Odisha 10th Class Physical Science Notes Chapter 4 img-4

→ (b) ଦ୍ଵିବନ୍ଧ ଥ‌ିବା ଅଣୁ:

  • ଅକସିଜେନ୍‌ର ପରମାଣୁ କ୍ରମାଙ୍କ 8 ଓ ଏହାର ଇଲେକ୍‌ଟ୍ରନ୍‌ ସଂରଚନା 2, 6 1
  • ଗୋଟିଏ ଅକ୍‌ସିଜେନ ପରମାଣୁର L କକ୍ଷରେ ଚୈ ଇଲେକ୍‌ଟ୍ରନ ଅଛି ।
  • ଏହା ଅକ୍ଳେଟ୍ ପୂରଣ କରିବାପାଇଁ ଆଉ 2ଟି ଇଲେକ୍‌ଟ୍ରନ୍‌ ଆବଶ୍ୟକ କରେ ।
  • ତେଣୁ ପ୍ରତି ଅକ୍ସିଜେନ୍ ର ପରମାଣୁ ଅନ୍ୟ ଏକ ଅକ୍‌ସିଜେନର ପରମାଣୁସହିତ ଦୁଇଟି ଇଲେକ୍‌ଟ୍ରନ ଭାଗ (share) କରିଥାଏ ।
  • ପ୍ରତ୍ୟେକ ଅକ୍‌ସିଜେନ ପରମାଣୁଦ୍ଵାରା ମିଳୁଥ‌ିବା ଇଲେକ୍‌ ଟ୍ରନ ଦୁଇଟି ସହଭାଜିତ ଇଲେକ୍‌ ଟ୍ରନ ଯୁଗଳ ହେଇଥାଏ
  • ଏହାକୁ ଦୁଇଟି ପରମାଣୁ ମଧ୍ୟରେ ଦ୍ବିବନ୍ଧ ଗଠନହେଲା ବୋଲି କୁହାଯାଏ

BSE Odisha 10th Class Physical Science Notes Chapter 4 img-5

→ (c) ତ୍ରିବନ୍ଧ ଥ‌ିବା ବନ୍ଧ :
ନାଇଟ୍ରୋଜେନ୍ :

  • ନାଇଟ୍ରୋଜେନର ପରମାଣୁ କ୍ରମାଙ୍କ 7 ଓ ଏହାର ଇଲେକ୍‌ଟ୍ରନ୍‌ ସଂରଚନା 2, 5 1
  • ଅକ୍ଟୋଟ୍ ଲାଭ କରିବା ପାଇଁ ଗୋଟିଏ ନାଇଟ୍ରୋଜେନ ପରମାଣୁ ତିନୋଟି ଇଲେକ୍‌ଟ୍ରନ ଦେଇଥାଏ ।
  • ସହଭାଗୀ ଇଲେକ୍‌ଟ୍ରନ ଯୁଗଳ ପାଇଁ ପ୍ରତି ନାଇଟ୍ରୋଜେନ ଅଣୁରେ ତିନୋଟି ସହଭାଗୀ ଇଲେକ୍‌ଟ୍ରନ ଯୁଗଳପାଇଁ ପ୍ରତି ନାଇଟ୍ରୋଜେନ୍ ପରମାଣୁ ତିନୋଟି ଇଲେକଟ୍ରନ ଦେଇଥାଏ ।
  • ଏହାକୁ ଦୁଇଟି ପରମାଣୁ ମଧ୍ଯରେ ତ୍ରିବନ୍ଧ ଗଠନ ହେଲା ବୋଲି କୁହାଯାଏ ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ଏମୋନିଆ ଅଣୁବ ଗଠନ :

  • ନାଇଟ୍ରୋଜେନ୍‌ର ପରମାଣୁ କ୍ରମାଙ୍କ 7 ଓ ଏହାର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା 2, 5 |
  • ନାଇଟ୍ରୋଜେନର ବହିଃସ୍ଥ କକ୍ଷରେ 5 ଟି ଇଲେକ୍‌ଟ୍ରନ ଅଛି । ଏହା ଅକ୍ଳେଟ୍ ପୂରଣ ପାଇଁ ଆହୁରି 3ଟି ଇଲେକ୍‌ଟ୍ରନ୍ ଆବଶ୍ୟକ କରୁଛି । ଯାହାଫଳରେ ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ Neର ସଂରଚନା ଧାରଣ କରିପାରିବ ।
  • ହାଇଡ୍ରୋଜେନର ପରମାଣୁ କ୍ରମାଙ୍କ 1 ଓ ଏହାର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା K(1) । ଆଉ ଗୋଟିଏ ଇଲେକ୍‌ଟ୍ରନ ହେଲେ ତାହା ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍ He ର ସଂରଚନା ଧାରଣ କରିବ ।
  • ଅକ୍ଳେଟ୍ ପୂରଣ ପାଇଁ ନାଇଟ୍ରୋଜେନ୍ ତାହାର ବହିଃସ୍ଥ କକ୍ଷରେ 3ଟି ଇଲେକ୍‌ଟ୍ରନ ସହିତ ହାଇଡ୍ରୋଜେନ୍ ତିନୋଟିର ପ୍ରତ୍ୟେକ ଇଲେକ୍‌ଟ୍ରନ ସହଭାଗିତାରେ N – H ଏକ ବନ୍ଧ ଗଠନ କରନ୍ତି ।
  • ନୀଇଟ୍ରୋଜେନ୍‌ର ଅନ୍ୟ ଦୁଇଟି ଇଲେକ୍‌ଟ୍ରନ କୌଣସି ବନ୍ଧ ଗଠନରେ ଭାଗ ନ ନେଇ ସେହିପରି ରହିଥାଏ ।

BSE Odisha 10th Class Physical Science Notes Chapter 4 img-6

→ ମିଥେନ୍‌ ଅସୁର ଗଠନ :

  • ମିଥେନ କାର୍ବନର ଏକ ଯୌଗିକ ଓ ଏହାର ସଂକେତ CH4
  • ଏହା ଇନ୍ଧନରୂପେ ବହୁଳ ଭାବରେ ବ୍ୟବହୃତ ହୁଏ । ଏହା ଏକ ଜୈବ ଗ୍ୟାସ (Biogas) ଓ ସଂଚାପିତ ପ୍ରାକୃତିକ ଗ୍ୟାସ୍ (Compressed Natural Gas ବା CNG)ର ମୁଖ୍ୟ ଉପାଦାନ ।
  • କାର୍ବନର ପରମାଣୁ କ୍ରମାଙ୍କ 6 ଓ ଏହାର ଇଲେକ୍‌ଟ୍ରନ ସଂରଚନା K(2), L(4) ।
  • ହାଇଡ୍ରୋଜେନର ପରମାଣୁ କ୍ରମାଙ୍କ । ଏବଂ ଇଲେକ୍‌ଟ୍ରନ୍‌ ସଂରଚନା K(1) । ଏହା ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍‌ର ସଂରଚନା ଲାଭ କରିବାପାଇଁ ଆଉ ଗୋଟିଏ ଇଲେକ୍‌ଟ୍ରନ୍‌ ଆବଶ୍ୟକ କରିଥାଏ ।
  • କାର୍ବନର ଚାରୋଟି ସଂଯୋଜକ ଇଲେକ୍‌ଟ୍ରନ ରହିଛି । ନିକଟତମ ନିଷ୍କ୍ରିୟ ଗ୍ୟାସ୍‌ ସଂରଚନା ଲାଭ କରିବା ପାଇଁ କାର୍ବନ ଏହି ଇଲେକ୍‌ଟ୍ରନ ଗୁଡ଼ିକୁ 4ଟି ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ସହିତ ଭାଗ କରିଥାଏ ।
  • ଅକ୍ଟୋଟ୍ ପୂରଣ କରିବା ପାଇଁ କାର୍ବନ ଏହି ଇଲେକ୍‌ଟ୍ରନ ଗୁଡ଼ିକୁ ଚାରୋଟି ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ସହିତ ଭାଗ କରିଥାଏ ଫଳରେ C – Hର ଏକ ସହସଂଯୋଜ୍ୟ ବନ୍ଧ ଗଠିତ ହୁଏ ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-7
  • C – H ବନ୍ଧ ଏକ ସମତଳରେ ରହନ୍ତି ନାହିଁ । ଏହା ଟେଟ୍ରାହେନ୍ଦ୍ରର ଚାରିକୋଣ ଆଡ଼କୁ ମୁହାଁଇଥାନ୍ତି । ସହସଂଯୋଜ୍ୟ ଅଣୁଗୁଡ଼ିକର ଗୁଣ:

→ ସତଫପୋଇ ଅଣୁଗୁଡ଼ିକର ଖୁଣ :

  • ସହ ସଂଯୋଗ୍ୟ ବନ୍ଧଦ୍ବାରା ଗଠିତ ଅଣୁଗୁଡ଼ିକର ଅଣୁର ଅଭ୍ୟନ୍ତରରେ ଶକ୍ତ ବନ୍ଧ ରହିଥିବା ଦେଖାଯାଏ, କିନ୍ତୁ ଆନ୍ତଃଅଣୁକ (Intermolecular) ବଳ କମ୍ ଥାଏ ।
  • ସହସଂଯୋଜ୍ୟ ଯୌଗିକଗୁଡ଼କର ଗଳନାଙ୍କ ଓ ସ୍ଫୁଟନାଙ୍କ କମ୍ ହୋଇଥାଏ ।
  • ଏହି ଯୌଗିକଗୁଡ଼ିକ ସାଧାରଣତଃ ବିଦ୍ୟୁତ୍‌ କୁପରିବାହୀ । କାରଣ ଯୌଗିକଗୁଡ଼ିକର ଦୁଇ ପରମାଣୁ ମଧ୍ୟରେ ମିଳିତ ଭାବେ ଇଲେକ୍‌ଟ୍ରନ ଭାଗ ହୋଇଥାଏ ଏବଂ ଚାର୍ଜଯୁକ୍ତ କଣିକାମାନ ସୃଷ୍ଟି ହୋଇନଥାଏ ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ଜାଇଁ ନବ ବିଭିନ୍ ରୂପ (Allotropes of Carbon):

  • ପ୍ରକୃତିରେ କାର୍ବନ ମୌଳିକ ବିଭିନ୍ନ ରୂପରେ ମିଳିଥାଏ । ବିଭିନ୍ନ ରୂପଗୁଡ଼ିକର ରାସାୟନିକ ପ୍ରକୃତି ସମାନ , ହେଲେ ମଧ୍ୟ ଭୌତିକ ପ୍ରକୃତି ପୃଥକ୍ ଅଟେ ।
  • ଉଭୟ ହୀରା ଓ ଗ୍ରାଫାଇଟ୍ କାର୍ବନ ପରମାଣୁ ଦ୍ଵାରା ଗଠିତ ହୋଇଥାଏ, କିନ୍ତୁ ଏ ଦୁଇଟିରେ କାର୍ବନ-କାର୍ବନ
  • ହୀରାରେ ପ୍ରତ୍ୟେକ କାର୍ବନ ପରମାଣୁ ଅନ୍ୟ ଚାରୋଟି କାର୍ବନ ପରମାଣୁ ସହିତ ସଂଯୁକ୍ତ ହୋଇଥାଏ ଏବଂ ଏକ ଦୃଢ଼ ତ୍ରିବିମୀୟ (three-dimensional) ସଂରଚନା ଗଠନ କରେ ।
  • ଗ୍ରାଫାଇଟ୍‌ରେ ପ୍ରତ୍ୟେକ କାର୍ବନ ପରମାଣୁ ଅନ୍ୟ ତିନୋଟି କାର୍ବନ ପରମାଣୁ ସହିତ ଏକ ସମତଳରେ ବନ୍ଧ ଗଠନ କରିଥାଏ ଏବଂ ଏକ ଷଡ଼ଭୁଜୀୟ ବିନ୍ୟାସ (Hexagonal array) ଦେଇଥାଏ । ଏହି ବନ୍ଧଗୁଡ଼ିକ ମଧ୍ୟରୁ ଗୋଟିଏ ହେଉଛି ଦ୍ଵିବନ୍ଧ । ତେଣୁ କାର୍ବନର ଯୋଗ୍ୟତା ସନ୍ତୁଷ୍ଟ ହୋଇଥାଏ ।
  • ଷଡ଼ଭୁଜୀୟ ବିନ୍ୟାସଗୁଡ଼ିକ ଗୋଟିଏ ସ୍ତର ଉପରେ ଆଉ ଏକ ସ୍ତର ଏହିପରି ଅନେକ ସ୍ତର ରହିବାଦ୍ଵାରା ଗ୍ରାଫାଇଟ୍ ସଂରଚନା ସୃଷ୍ଟି ହୋଇଥାଏ ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-8
  • ଏହି ଦୁଇ ଭିନ୍ନ ଭିନ୍ନ ସଂରଚନା ଫଳରେ ହୀରା ଓ ଗ୍ରାଫାଇଟ୍‌ର ଭୌତିକ ଧର୍ମ ଭିନ୍ନ ହୋଇଥାଏ ଯଦିଓ ସେ ଦୁଇଟିର ରାସାୟନିକ ଧର୍ମ ସମାନ ।
  • ପଦାର୍ଥଗୁଡ଼ିକ ମଧ୍ୟରେ ହୀରା ସବୁଠାରୁ ବେଶି ଶକ୍ତ । ଗ୍ରାଫାଇଟ୍ ହେଉଛି କୋମଳ (Smooth) ଏବଂ ହାତରେ ଧରିଲେ ଚିକ୍କଣ ବା ତେଲିଆ ଜଣାପଡ଼େ।
  • ଗ୍ରାଫାଇଟ୍ ଅଧାତୁ ହେଲେ ମଧ୍ୟ ବିଦ୍ୟୁତ୍ ପରିବହନ କରେ ।
  • ଅତି ଉଚ୍ଚ ଚାପ ଓ ତାପମାତ୍ରା ପ୍ରୟୋଗ କରି ବିଶୁଦ୍ଧ କାର୍ବନରୁ ହୀରା ସଂଶ୍ଳେଷଣ କରାଯାଇପାରିବ । ଏହି ସଂଶ୍ଲେଷିତ ହୀରାଗୁଡ଼ିକ ଛୋଟ, ଅନ୍ୟଥା ପ୍ରାକୃତିକ ହୀରାଠାରୁ କୌଣସି ଗୁଣରେ ଭିନ୍ନ ନୁହେଁ ।
  • କାର୍ବନର ଆଉ ଏକ ରୂପ ହେଉଛି ଫୁଲେରିନ୍‌ । ପ୍ରଥମେ ଚିହ୍ନିତ ହୋଇଥିବା କାର୍ବନର ଏହି ରୂପଟି ହେଲା, C-60, ଯେଉଁଥରେ କାର୍ବନ ପରମାଣୁଗୁଡ଼ିକ ଫୁଟ୍‌ବଲ ଆକାରରେ ସଜ୍ଜିତ ହୋଇ ରହିଥାଏ । ଏହା ଯୁକ୍ତରାଷ୍ଟ୍ର ଆମେରିକାର ସ୍ଥପତି ବକ୍‌ମିନ୍‌ଷ୍ଟର ଫୁଲର୍ (Buckminster Fuller)ଙ୍କ ଦ୍ବାରା ପରିକଳ୍ପନା କରାଯାଇଥିବା ଭୂପରିମାଣ ବିଦ୍ୟା ସମ୍ବନ୍ଧୀୟ ଗମ୍ବୁଜ (Geodesic dome) ପରି ଦେଖାଯାଉଥ‌ିବାରୁ ଏହି ଅଣୁକୁ ଫୁଲେରିନ୍‌ ନାମ ଦିଆଯାଇଥିଲା ।

→ କାର୍ବନର ସଂବଂ ଗୁଣଧାର1 ପ୍ରକୃତି (Versatile Nature of Carbon) :

  • ଆମେ ବ୍ୟବହାର କରୁଥିବା ଅନେକ ଜିନିଷରେ କାର୍ବନ ଅଛି ।
  • ଆମେ ନିଜେ କାର୍ବନ ଯୌଗିକରେ ଗଠିତ ହୋଇଛୁ ।
  • କାର୍ବନ ଯୌଗିକର ସଂଖ୍ୟା ହେଉଛି ତିନି ନିୟୁତ (million)ରୁ ଅଧ୍ଵ ।
  • ସହ ସଂଯୋଗ୍ୟ ବନ୍ଧର ପ୍ରକୃତି କାର୍ବନକୁ ବହୁସଂଖ୍ୟାର ଯୌଗିକ ସୃଷ୍ଟି କରିବାକୁ ସମର୍ଥ ହୋଇଥାଏ ।
  • କାର୍ବନ ବହୁ ସଂଖ୍ୟକ ଯୌଗିକ ସୃଷ୍ଟି କରିବାର କାରଣ ଗୁଡ଼ିକ ହେଲା

→ କାଟିନେସନ :

  • କାର୍ବନ ଅନ୍ୟ କାର୍ବନ ପରମାଣୁ ସହିତ ବନ୍ଧ ଗଠନ କରି ବୃହତ୍ ଅଣୁ ସୃଷ୍ଟିକରିବା ପାଇଁ ଅନନ୍ୟ ସାମର୍ଥ୍ୟ ରହିଛି । ଏହି ଗୁଣକୁ କାଟିନେସ୍‌ କୁହାଯାଏ ।
  • ଏହି ଯୌଗିକଗୁଡ଼ିକ କାର୍ବନର ଦୀର୍ଘ ଶୃଙ୍ଖଳ (Long chain), କାର୍ଟନର ଶାଖାଯୁକ୍ତ ଶୃଙ୍ଖଳ କିମ୍ବା କାର୍ବନ ପରମାଣୁଗୁଡ଼ିକର ଚକ୍ରୀୟ ସଜ୍ଜା ହୋଇପାରେ।
  • କାର୍ବନ ପରମାଣୁ ଗୁଡ଼ିକ ଏକ-ବନ୍ଧ, ଦ୍ୱି-ବନ୍ଧ ବା ତ୍ରି-ବନ୍ଧ ଦ୍ଵାରା ସଂଯୁକ୍ତ ହୋଇପାରେ । ବନ୍ଧ ଗଠନକୁ ନେଇ କାର୍ବନ ଯୌଗିକକୁ ଦୁଇଭାଗରେ ବିଭକ୍ତ
  • କରାଯାଏ; ଯଥା— ପୃକ୍ତ ଯୌଗିକ ଓ ଅପୃକ୍ତ ଯୌଗିକ । କାର୍ବନ ଯୌଗିକରେ ପ୍ରତ୍ୟେକ କାର୍ବନ ପରମାଣୁ କେବଳ ଏକ-ବନ୍ଧ ଦ୍ଵାରା ଅନ୍ୟ ପରମାଣୁ ସହିତ ସଂଯୁକ୍ତ ହେଲେ ତାହାକୁ ପୃକ୍ତ ଯୌଗିକ କୁହାଯାଏ ।
  • ଯେଉଁ ଯୌଗିକଗୁଡ଼ିକରେ କାର୍ବନ-କାର୍ବନ ମଧ୍ୟରେ ଦ୍‌ବନ୍ଧ କିମ୍ବା ତ୍ରିବନ୍ଧ ଥାଏ, ସେଗୁଡ଼ିକୁ ଅପୃକ୍ତ ଯୌଗିକ କୁହାଯାଏ । ଉଭୟ କାର୍ବନ ଓ ସିଲିକନ୍‌ର ବହିଃସ୍ଥ କକ୍ଷରେ 4ଟି ଇଲେକ୍‌ଟ୍ରନ ଥାଏ । କିନ୍ତୁ କାର୍ବନର କାଟିନେସନ୍ ଗୁଣ ଅଧ୍ୟା ଦେଖାଯାଏ ।
  • କାର୍ବନ ଶହ ଶହ ହାଇଡ୍ରୋଜେନ ସହିତ ସଂଯୁକ୍ତ ହୋଇ ଯୌଗିକ ସୃଷ୍ଟିକରେ । କିନ୍ତୁ ସିଲିକନ୍‌ ହାଇଡ୍ରୋଜେନ ସହ ମିଶି ଯେଉଁ ଯୌଗିକ ଗଠନ କରେ ତାହା କେବଳ ସାତ କିମ୍ବା ଆଠଟି ସିଲିକନ୍ ପରମାଣୁ ପର୍ଯ୍ୟନ୍ତ ଥାଏ, କିନ୍ତୁ ଏହି ଯୌଗିକଗୁଡ଼ିକ ଖୁବ୍ ପ୍ରତିକ୍ରିୟାଶୀଳ ।
  • କାର୍ବନ-କାର୍ବନ ବନ୍ଧ ଖୁବ୍ ଶକ୍ତ, ତେଣୁ ତାହା ସ୍ଥାୟୀ ( stable)

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ (i) ଚତୁଃସଂଯୋଜୀ:
କାର୍ବନର ଯୋଗ୍ୟତା ଚାରି ହୋଇଥିବାରୁ ଏହା କାର୍ବନର ଅନ୍ୟ ଚାରୋଟି ପରମାଣୁ କିମ୍ବା ଏକ ଯୋଗ୍ୟତା ବିଶିଷ୍ଟ ଅନ୍ୟ ମୌଳିକର ପରମାଣୁ ସହ ବନ୍ଧ ଗଠନ କରିବା ପାଇଁ ସମର୍ଥ ହୋଇଥାଏ ।
ଅନ୍ୟ ମୌଳିକ ଯଥା – ଅକ୍‌ସିଜେନ୍, ହାଇଡ୍ରୋଜେନ୍, ନାଇଟ୍ରୋଜେନ୍, ସଲଫର୍‌, କ୍ଲୋରିନ୍ ଇତ୍ୟାଦି ସହ କାର୍ବନ୍‌ର ଯୌଗିକ ସୃଷ୍ଟି ହୋଇଥାଏ ।
ଏହି ଯୌଗିକଗୁଡ଼ିକର ସୁନିର୍ଦ୍ଦିଷ୍ଟ (specific) ଧର୍ମ ରହିଥାଏ । ଏହି ଧର୍ମଗୁଡ଼ିକ ଅଣୁରେ ଥ‌ିବା କାର୍ବନ ଛଡ଼ା ଅନ୍ୟ ମୌଳିକଗୁଡ଼ିକ ଉପରେ ନିର୍ଭର କରେ ।

→ (iii) ବିଭିନ୍ନ ପ୍ରକାରର ସହସଂଯୋଜ୍ୟ ବନ୍ଧ ଗଠନ କରିବା ପ୍ରୟାସ:
କାର୍ବନର ପରମାଣୁର ଆକାର ଛୋଟ ହେତୁ ବିଭିନ୍ନ ପ୍ରକାର ଶକ୍ତ ବନ୍ଧ ଗଠନ କରେ ।
ସହଭାଜିତ ଇଲେକ୍‌ଟ୍ରନ ଯୁଗଳକୁ ଶକ୍ତଭାବରେ ଧରି ରଖୁବା ପାଇଁ ଏହା ନ୍ୟୁକ୍ଲିୟସ୍‌ ସମର୍ଥ କରିଥାଏ ।

→ (iv) ଆଇସୋମେରିଜିମ୍ :
ଯେଉଁ ଯୌଗିକଗୁଡ଼ିକର ଏକା ଅଣୁ ସଙ୍କେତ ଥାଏ କିନ୍ତୁ ଅଣୁ ଭିତରେ ପରମାଣୁ ସଜ୍ଜା ପୃଥକ୍ ପୃଥକ୍ ହୋଇଥାଏ ସେହି ଯୌଗିକଗୁଡ଼ିକୁ ସଂରଚନାତ୍ମକ ଆଇସୋମର କୁହାଯାଏ ।

→ ଉଦାହରଣ :
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-9
ଅନେକ ଯୌଗିକରେ ସମାନ ଅଣକାର୍ବନ କିମ୍ବା ପରମାଣୁପୁଞ୍ଜ ବିଭିନ୍ନ କାର୍ବନ ଶୃଙ୍ଖଳ ସହିତ ସଂଯୁକ୍ତ ହୋଇରହିଥାଏ । ଆରମ୍ଭରେ ଏହିସବୁ ଯୌଗିକରେ ସମାନ ଅଣକାର୍ବନ କିମ୍ବା ପରମାଣୁ ପୁଞ୍ଜ ବିଭିନ୍ନ କାର୍ବନ ଶୃଙ୍ଖଳ ସହିତ ସଂଯୁକ୍ତ ହୋଇରହିଥାଏ, ଆରମ୍ଭରେ ଏହିସବୁ ଯୌଗିକ ପ୍ରାକୃତିକ ପଦାର୍ଥରୁ ନିଷ୍କାସିତ ହେଉଥିଲେ ଏବଂ ଧାରଣାଥିଲା ଯେ ଏଗୁଡ଼ିକ କେବଳ ଜୀବନ୍ତ ପଦାର୍ଥ ମଧ୍ୟରେ ପ୍ରସ୍ତୁତ ହୋଇପାରେ । ଫ୍ରେଡ୍ରିକ୍ ଭୋଲର୍ (Friedrich Wohler) 1828 ମସିହାରେ ଏମୋନିୟମ୍ ସିଆନେଟ୍‌ରୁ ୟୁରିଆ ପ୍ରସ୍ତୁତ କରି ଏହାକୁ ଖଣ୍ଡନ (disprove) କରିଥିଲେ ।
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-10

→ ହାଇଡ୍ରୋକାର୍ବନ (Hydrocarbon):

  • ଯେଉଁ ସବୁ କାର୍ବନ ଯୌଗିକରେ କେବଳ କାର୍ବନ ଓ ହାଇଡ୍ରୋଜେନ୍ ରହିଛି ସେଗୁଡ଼ିକୁ ହାଇଡ୍ରୋକାର୍ବନ କୁହାଯାଏ । ଏହା ଦୁଇ ପ୍ରକାର; ଯଥା – ପୃକ୍ତ ଓ ଅପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକ ।
  • ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନକୁ ଆଲ୍‌କେନ୍ (Alkane) କୁହାଯାଏ ।
  • ଯେଉଁ ଅପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନରେ ଏକ ବା ଅଧିକ ଦ୍ବି-ବନ୍ଧ ଥାଏ ତାକୁ ଆଲ୍‌କିନ୍ (Alkene) କୁହାଯାଏ ।
  • ଏକା ବା ଅଧୂକ ତ୍ରିବନ୍ଧ ଥ‌ିବା ହାଇଡ୍ରୋକାର୍ବନକୁ ଆଲକାଇନ୍ (Alkyne) କୁହାଯାଏ ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ପୃକ୍ତ କାର୍ବନ ଯୌଗିକ :

  • ଯେଉଁ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକଗୁଡ଼ିକରେ କାର୍ବନ କାର୍ବନ ମଧ୍ୟରେ ଗୋଟିଏ ଲେଖାଏଁ
  • ସହସଂଯୋଜ୍ୟ ବନ୍ଧ ଥାଏ, ସେଗୁଡ଼ିକୁ ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକ କୁହାଯାଏ ।
  • ଏହି ଯୌଗିକଗୁଡ଼ିକରେ ପ୍ରତ୍ୟେକ କାର୍ବନ ପରମାଣୁ ଅନ୍ୟ ଚାରୋଟି ପରମାଣୁସହ ବନ୍ଧ ଗଠନ କରିଥାଏ ।
  • ସରଳତର ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ହେଉଛି, ମିଥେନ୍ (CH4), ଇଥେନ୍ (C2H6) |
  • କାର୍ବନ ପରମାଣୁଗୁଡ଼ିକ ଏକ ବନ୍ଧ ସହ ଏକା ସଙ୍ଗରେ ସଂଯୁକ୍ତ କରାଯାଉ । C – C
  • ପ୍ରତି କାର୍ବନ ପରମାଣୁର ବାକି ତିନୋଟି ଯୋଗ୍ୟତା ଅସଂପୂର୍ଣ୍ଣ ରହିଛି । ତେଣୁ ପ୍ରତି କାର୍ବନକୁ ତିନୋଟି ହାଇଡ୍ରୋଜେନ୍ ପରମାଣୁ ସହ ବନ୍ଧ କରାଯାଉ ।

→ ଇଥେନ୍ (CH )ର ଗଠନ :
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-11
ଯୌଗିକଗୁଡ଼ିକ ସାଧାରଣତଃ ବେଶି ପ୍ରତିକ୍ରିୟାଶୀଳ ନୁହେଁ । ପୃକ୍ତ ଯୌଗିକଗୁଡ଼ିକର ସାଧାରଣ ଅଣୁ ସଙ୍କେତ CnH2n+2

→ ଅପୃକ୍ତ କାର୍ବନ ଯୌଗିକ :
ଯେଉଁ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକରେ କାର୍ବନ-କାର୍ବନ ମଧ୍ୟରେ ଦ୍ବି-ବନ୍ଧ କିମ୍ବା ତ୍ରି-ବନ୍ଧ ଥାଏ, ସେଗୁଡ଼ିକୁ ଅପୃକ୍ତ କାର୍ବନ ଯୌଗିକ କୁହାଯାଏ । ଏହି ଯୌଗକଗୁଡ଼ିକରେ କାର୍ବନ ପରମାଣୁଗୁଡ଼ିକ ଗୋଟିଏ ଲେଖାଏଁ ସହସଂଯୋଜ୍ୟ ବନ୍ଧ ଗଠନ କରି ସେମାନଙ୍କ ସମ୍ପୂର୍ଣ୍ଣ ସଂଯୋଜନ କ୍ଷମତା ଉପଯୋଗ କରୁ ନ ଥିବାରୁ ସେଗୁଡ଼ିକ ଅପୃକ୍ତ ହୋଇଥା’ନ୍ତି ।

(i) ଆଲ୍‌କିନ୍ : ଯେଉଁ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକଗୁଡ଼ିକର କାର୍ବନ କାର୍ବନ ମଧ୍ୟରେ ଦୁଇଟି ଲେଖାଏଁ ବନ୍ଧ ଥାଏ । ସେଗୁଡ଼ିକୁ ଆଲ୍‌କିନ୍ କୁହାଯାଏ ।

ଉଦାହରଣ :
ଏଥୁନ୍ (C2H4), ପ୍ରୋପିନ୍ (C3H5), ବ୍ୟୁଟିନ୍ (C4H8) ଇତ୍ୟାଦି ।

(ii) ଆଲ୍‌କାଇନ୍ :
ଯେଉଁ ହାଇଡ୍ରୋକାର୍ବନ୍‌ଗୁଡ଼ିକରେ କାର୍ବନ କାର୍ବନ ମଧ୍ୟରେ ତିନୋଟି ଲେଖାଏଁ ବନ୍ଧ ଥାଏ, ସେଗୁଡ଼ିକୁ ଆଲ୍‌କାଇନ୍ କୁହାଯାଏ ।
( – C = C -)

→ ଉଦାହରଣ :

  • ଇଥାଇନ୍ (C2H2), ପ୍ରୋପାଇନ୍ (C3H4), ବ୍ୟୁଟାଇନ୍ (C4H8) ଇତ୍ୟାଦି ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-12
  • ଅପୃକ୍ତ କାର୍ବନ ଯୌଗିକ ଗୁଡ଼ିକ ପୃକ୍ତ କାର୍ବନ ଯୌଗିକଠାରୁ ଅଧ‌ିକ ପ୍ରତିକ୍ରିୟାଶୀଳ ।
  • ଦ୍ବି-ବନ୍ଧଥ‌ିବା ଅପୃକ୍ତ କାର୍ବନ ଯୌଗିକର ସାଧାରଣ ଅଣୁ ସଂକେତ : CnH2n
  • ଯେଉଁ ଅପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନରେ ଏକ ବା ଅଧୂକ ତ୍ରିବନ୍ଧ ଥବ ସେହି ହାଇଡ୍ରୋକାର୍ବନକୁ ଆଲକାଇନ୍ କୁହାଯାଏ । ଏହାର ସାଧାରଣ ଅଣୁ ସଙ୍କେତ : CnH2n-2

(i) ଇଥାଇନ୍ (C2H2)ର ଗଠନ :
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-13

(ii)
ପ୍ରୋପାଇନ୍ (C3H4)ର ଗଠନ :
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-14

→ ଶୃଙ୍ଖଳ, ଶାଖା ଏବଂ ଚକ୍ରାକାର (Chains, Branches & Rings) :

→ (a) ସଳଖ ଚେନ୍ ବା ଶୃଙ୍ଖଳ ଯୁକ୍ତ ଯୌଗିକ :
ଯେଉଁ ଆଲକେନ୍‌ଗୁଡ଼ିକରେ ତିନୋଟି କିମ୍ବା କମ୍ କାର୍ବନ ପରମାଣୁ ଥାଏ, ସେଗୁଡ଼ିକ ଶାଖା ଗଠନ କରନ୍ତି ନାହିଁ ।
(i) ମିଥେନ୍ , ଇଥେନ୍ ଓ ପ୍ରୋପେନ୍ ଯଥାକ୍ରମେ 1, 2 ଓ 3 କାର୍ବନ ପରମାଣୁ ରହିଥ‌ିବା କାର୍ବନ ଯୌଗିକ । କାର୍ବନ ପରମାଣୁର ଏହିଭଳି ଚେନ୍ ବା ଶୃଙ୍ଖଳ ଚେନ୍‌ରେ ବହୁସଂଖ୍ୟକ କାର୍ବନ ପରମାଣୁ ରହିପାରିବ ।
କାର୍ବନ ଓ ହାଇଡ୍ରୋଜେନର ପୃକ୍ତ ଯୌଗିକର ସଙ୍କେତ ଓ ସଂରଚନା
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-15

→ (b) ଶାଖାଯୁକ୍ତ ପୌଟିଜ :
ବ୍ଲ୍ୟୁଟେନ୍ (C4H10 ) ର ସଂରଚନା:
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-16

ଯେଉଁ ଯୌଗିକଗୁଡ଼ିକର ଏକା ଅଣୁ ସଙ୍କେତ ସମାନ ଥାଏ, କିନ୍ତୁ ଅଣୁଭିତରେ ପରମାଣୁ ସଜ୍ଜା ପୃଥକ୍ ହୋଇଥାଏ ସେହି ଯୌଗିକଗୁଡ଼ିକୁ ସଂରଚନାତ୍ମକ ଆଇସୋମର (structural isomer) କହନ୍ତି ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ (C) ଚକ୍ରୀୟ କାର୍ବନ ଯୌଗିକ :
ଯେଉଁ କାର୍ବନ ଯୌଗିକରେ କାର୍ବନ ପରମାଣୁ ଗୁଡ଼ିକ ରିଙ୍ଗପରି ବା ଚକ୍ରାକାରରେ ସଜ୍ଜିତ ହୋଇଥାଏ, ତାହାକୁ ଚକ୍ରୀୟ କାର୍ବନ ଯୌଗିକ କହନ୍ତି । ହାଇଡ୍ରୋକାର୍ବନଗୁଡ଼ିକରେ ତିନୋଟି କିମ୍ବା ତହିଁରୁ ଅଧ୍ବକ କାର୍ବନ ପରମାଣୁ ଉପରେ ଚକ୍ରାକାର ଚେନ୍ ସମ୍ଭବ ହୋଇଥାଏ ।

(i) ସାଇକ୍ଲୋହେକ୍ସନ୍ (C6H12) ର ସଂରଚନା:
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-17

(ii) ବେଞ୍ଜିନ୍ (C6H6) ରେ ସଂରଚନା:
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-18

→ କାର୍ବନ ସହିତ ବହୁତ| (Will you be my friends):

  • କାର୍ବନ ଏକ ଖୁବ୍ ବନ୍ଧୁତ୍ଵପୂର୍ଣ ମୌଳିକ । ଏହା ହାଇଡ୍ରୋଜେନ୍ ବ୍ୟତୀତ ଅନ୍ୟ ମୌଳିକ ଯଥା – ହାଲୋଜେନ୍, ଅକ୍‌ସିଜେନ୍, ନାଇଟ୍ରୋଜେନ୍ ଏବଂ ସଲଫର୍ ସହିତ ମଧ୍ୟ ବନ୍ଧ ଗଠନ କରେ ।
  • ଏକ ହାଇଡ୍ରୋକାର୍ବନ ଶୃଙ୍ଖଳରେ ଏକ ବା ଅଧିକ ହାଇଡ୍ରୋଜେନ୍‌ର ସ୍ଥାନ ଏହି ମୌଳିକଦ୍ଵାରା ପୂରଣ ହୁଏ ଏବଂ କର୍ଜନର ଯୋଗ୍ୟତା ସମ୍ପୂର୍ଣ୍ଣ ହୋଇଥାଏ ।
    ଏହି ଭଳି ଯୌଗିକଟୁଡ଼ିକରେ ହାଲଡ୍ରୋଜେନ୍ ବଦଳରେ ଅନ୍ୟ ଯେଉଁ ମୌଳିକର ପରମାଣୁ ସ୍ଥାନ ନିଏ ତାହାକୁ ଅସମ ପରମାଣୁ (Heteroatom) କୁହାଯାଏ ।
  • ଅସମ ପରମାଣୁ ଏବଂ ଅସମ ପରମାଣୁ ରହିଥ‌ିବା ଗ୍ରୁପ ଯୌଗିକକୁ ସ୍ୱତନ୍ତ୍ର ଧର୍ମ ପ୍ରଦାନ କରେ । ଏଗୁଡ଼ିକୁ ସକ୍ରିୟ ଗ୍ରୁପ୍ (Functional Group) କୁହାଯାଏ ।
  • ଗୋଟିଏ କାର୍ବନ ଯୌଗିକର ଧର୍ମ ତାହାର ସକ୍ରିୟ ଗ୍ରୁପ୍ ଉପରେ ନିର୍ଭର କରେ, କାର୍ବନଶୃଙ୍ଖଳର ଦୀର୍ଘତା ଓ ପ୍ରକୃତି ଉପରେ ନୁହେଁ ।
    ଏକ ବା ଅଧ‌ିକ ହାଇଡ୍ରୋଜେନ ପରମାଣୁର ସ୍ଥାନ ସକ୍ରିୟ ଗ୍ରୁପ ଦ୍ୱାରା ପ୍ରତିସ୍ଥାପିତ ହୋଇ ଏହି ଯୋଗ୍ଯତା ମଧ୍ୟଦେଇ କାର୍ବନ ଶୃଙ୍ଖଳ ସହିତ ସଂଯୋଗ୍ୟ ହୋଇଥାଏ ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-19

କାର୍ବନ ଯୋଗିକରେ କେତୋଟି ସକ୍ରିୟ ଗ୍ରୁପ :
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-20

→ ହୋମୋଲୋଗସ୍ ଶ୍ରେଣୀ (Homologous Series):
ସକ୍ରିୟ ଗ୍ରୁପର ଉପସ୍ଥିତି କାର୍ବନ ଯୌଗିକର ଧର୍ମଗୁଡ଼ିକ ଜାହିର କରିଥାଏ ।

→ ଉଦାହରଣ:

  • CH3OH, C2H5OH, C3H7OH ଓ C4H9OH ଇତ୍ୟାଦି ଗୁଡ଼ିକର ରାସାୟନିକ ଧର୍ମ ସମାନ କାରଣ ଏଗୁଡ଼ିକର ସକ୍ରିୟ ଗ୍ରୁପ୍ ସମାନ ।
    ଯୌଗିକ ଶ୍ରେଣୀର ଯେଉଁଥରେ ଏକା ସକ୍ରିୟ ଗ୍ରୁପ କାର୍ବନ ଶୃଙ୍ଖଳର ହାଇଡ୍ରୋଜେନ ପାଇଁ ପ୍ରତିସ୍ଥାପିତ ହୋଇଥାଏ ତାକୁ ସଜାତୀୟ ବା ହୋମୋଲଗସ୍ ଶ୍ରେଣୀ କୁହାଯାଏ । ପ୍ରତ୍ୟେକ ଯୌଗିକକୁ ହୋମଲୋଗ୍ କହନ୍ତି ।
  • ସମାନ ସଂରଚନା ଓ ସମାନ ରାସାୟନିକ ଧର୍ମବିଶିଷ୍ଟ ଗୋଟିଏ ଜୈବ ଯୌଗିକ ଶ୍ରେଣୀରେ ଗୋଟିଏ ଯୌଗିକ ତା’ର ପୂର୍ବବର୍ତ୍ତୀ ପରବର୍ତ୍ତୀ ଓ ଯୌଗିକ ଠାରୁ ତା’ର ଆଣବିକ ସଂକେତରେ – CH2 ଗ୍ରୁପ୍ ଦ୍ଵାରା ପୃଥକ୍ ହୋଇଥିଲେ, ସେହି ଶ୍ରେଣୀକୁ ହୋମୋଲଗସ୍ ଶ୍ରେଣୀ କୁହାଯାଏ ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ହୋମୋଲୋଗ୍ ଶ୍ରେଣୀର ଗୁଣ (ପ୍ରକୃତି) :
(i) ହୋମୋଲଗ୍ନ ଶ୍ରେଣୀର ପ୍ରତ୍ୟେକ ହୋମୋଲଗ୍‌ର ସାଧାରଣ ଅଣୁ ସଂକେତ ଅଛି । ସଂରଚନା ମଧ୍ୟ ସମାନ । ଉଦାହରଣ ମିଥେନ୍ – CH4, ଇଥେନ୍ – C2H6, ପ୍ରୋପେନ୍ – C3H8 , ବ୍ୟୁଟେନ – C4H10 ଇତ୍ୟାଦି ।
ଆଲକେନ୍‌ର ସାଧାରଣ ଅଣୁ ସଙ୍କେତ CnH2n+2
ଆଲ୍‌କିନ୍‌ର ସାଧାରଣ ଅଣୁ ସଙ୍କେତ CnH2n |
ଆଲକାଇନ୍‌ର ସାଧାରଣ ଅଣୁ ସଙ୍କେତ CnH2n-2 |

(ii) ଉପରୋକ୍ତ ଉଦାହରଣରେ କ୍ରମାନ୍ୱୟରେ ଥିବା ଯୌଗିକ ଗୁଡ଼ିକ –CH2 ଏକକ ଦ୍ଵାରା ପୃଥକ୍ । CH4 ଓ C2H6 ଇତ୍ୟାଦି ।

(iii) କ୍ରମାନ୍ୱୟରେ ଥିବା ଯୌଗିକ ଗୁଡ଼ିକର ଆଣବିକ ବସ୍ତୁତ୍ଵ ମଧ୍ଯରେ 14u ପାର୍ଥକ୍ୟ ଥାଏ ।

CH4 ର ଆଣବିକ ବସ୍ତୁତ୍ଵ = 12 x 1 + 4 × 1 = 16u
C2H6 ର ଆଣବିକ ବସ୍ତୁତ୍ଵ = 12 × 2 + 6 × 1 = 30 u
CH4 ଓ C2H6 ର ଆଣବିକ ବସ୍ତୁତ୍ୱ ମଧ୍ଯରେ ପାର୍ଥକ୍ୟ 14 u
(iv) କୌଣସି ହୋମୋଲୋଗସ୍ ଶ୍ରେଣୀରେ ଆଣବିକ ବସ୍ତୁତ୍ଵ ବୃଦ୍ଧି ଘଟିବା ସହ ଭୌତିକ ପ୍ରକୃତିରେ ଏକ କ୍ରମ ବିନ୍ୟାସ (Gradation) ଦେଖାଯାଏ ।

(v) ଗଳନାଙ୍କ ଓ ସ୍ଫୁଟନାଙ୍କ ବୃଦ୍ଧି ଘଟେ ।

(vi) ନିର୍ଦ୍ଦିଷ୍ଟ ଦ୍ରାବକରେ ଦ୍ରବଣୀୟ ହୋଇଥାଏ ।

(vii) ରାସାୟନିକ ଧର୍ମ ସମାନ ରହେ ।

→ କାର୍ବନ ଯୌଗିକଗୁଡ଼ିକର ନାମକରଣ ପଦ୍ଧତି (Nomenclature of carbon compounds):

  • ହୋମୋଲଗସ୍ ଶ୍ରେଣୀରେ ଯୌଗିକଗୁଡ଼ିକର ନାମ ମୂଳ କାର୍ବନ ଶୃଙ୍ଖଳ ଉପରେ ନିର୍ଭର କରେ ।
  • ଶୃଙ୍ଖଳର ନାମ ପୂର୍ବରେ କିମ୍ବା ଶେଷରେ ସକ୍ରିୟ ଗ୍ରୁପର ପ୍ରକୃତି ସୂଚାଉଥିବା ଏକ ଶତାଂଶ ଯୋଗ କରି ଏବଂ ଶୃଙ୍ଖଳର ନାମକୁ ସାମାନ୍ୟ ପରିବର୍ତ୍ତନ କରି ଯୌଗିକର ନାମକରଣ କରାଯାଏ ।

→ ନିମ୍ନଲିଖୂତ ପଦ୍ଧତି ଦ୍ଵାରା କାର୍ବନ ଯୌଗିକର ନାମକରଣ କରାଯାଇପାରିବ ।

  • ଯୌଗିକଟିରେ କାର୍ବନ ସଂଖ୍ୟା ଚିହ୍ନଟ କର । ତିନୋଟି କାର୍ବନ ପରମାଣୁ ରହିଥ‌ିବା ଯୌଗିକର ନାମ ପ୍ରୋପେନ୍‌ ହୋଇଥା’ନ୍ତା ।
  • ସକ୍ରିୟ ଗ୍ରୁପ୍ ଥିଲେ ଯୌଗିକର ନାମର ପୂର୍ବରେ କିମ୍ବା ନାମର ଶେଷ ଭାଗରେ ଏକ ଶତାଂଶ ଯୋଗକରି ସକ୍ରିୟ ଗ୍ରୁପ୍‌କୁ ସୂଚାଯାଏ ।
  • ସକ୍ରିୟ ଗ୍ରୁପର ନାମକୁ ଯଦି ଶେଷଭାଗରେ ସୂଚାଇବାକୁ ହେବ ଇଂରାଜୀ ନାମର ଶେଷଭାଗରେ ଥ‌ିବା ‘e’ କୁ ବାଦଦେଇ ଏବଂ ସେହିସ୍ଥାନରେ ଉପଯୁକ୍ତ ଶତାଂଶଟି ଶେଷଭାଗରେ ଯୋଗକରି କାର୍ବନଶୃଙ୍ଖଳର ନାମକୁ ସାମାନ୍ୟ ପରିବର୍ତ୍ତନ କରାଯାଏ । ଉଦାହରଣସ୍ୱରୂପ, ଗୋଟିଏ କିଟୋଗ୍ରୁପ ସହ ଏକ ତିନି କାର୍ବନ ବିଶିଷ୍ଟ ଶୃଙ୍ଖଳକୁ ନିମ୍ନ ପ୍ରକାରରେ ନାମିତ କରାଯିବ ।
    ପ୍ରୋପେନ୍ – ‘e’ = ପ୍ରୋପାନ୍ + ‘ଓନ୍’ = ପ୍ରୋପାନୋନ୍
    (Propane – ‘e’ = Propan + ‘one’ = Propanone)
  • କାର୍ବନ ଶୃଙ୍ଖଳଟି ଯଦି ଅପୃକ୍ତ, ତେବେ କାର୍ବନ ଶୃଙ୍ଖଳ ନାମର ଶେଷଭାଗରେ ଥ‌ିବା ଇଂରାଜୀ ଶବ୍ଦାଶ ‘ane’ସ୍ଥାନରେ ‘ene’ କିମ୍ବା ‘yne’ ପ୍ରତିସ୍ଥାପନ କରାଯାଏ । ଉଦାହରଣସ୍ୱରୂପ, ଗୋଟିଏ ଦ୍ଵିବନ୍ଧ ସହ ତିନି କାର୍ବନ ବିଶିଷ୍ଟ ଶୃଙ୍ଖଳକୁ ପ୍ରୋପିନ୍ (Propene) କୁହାଯିବ । ଯଦି ଏହି ଶୃଙ୍ଖଳରେ ତ୍ରିବନ୍ଧ ରହେ, ଏହାକୁ ପ୍ରୋପାଇନ୍ (Propyne) କୁହାଯିବ ।

→ କାର୍ବନ ଯୌଗିକର ରାସାୟନିକ ଧର୍ମ (Chemical Properties of Carbon Compounds):
→ (a) ଦହନ (Combustion):

  • କାର୍ବନର ଯେକୌଣସି ରୂପ ଅକ୍‌ସିଜେନରେ ଜଳିଲେ କାର୍ବନ ଡାଇଅକ୍‌ସାଇଡ୍ ସୃଷ୍ଟି ହେବା ସହିତ ତାପ ଓ ଆଲୋକ ନିର୍ଗତ ହୋଇଥାଏ ।
  • ଅଧିକାଂଶ କାର୍ବନ ଯୌଗିକ ଦହନ ପ୍ରତିକ୍ରିୟାରେ ବହୁପରିମାଣର ତାପଶକ୍ତି ଓ ଆଲୋକଶକ୍ତି ସୃଷ୍ଟି କରିଥାନ୍ତି । ଏହାକୁ ଜାରଣ ପ୍ରତିକ୍ରିୟା କହନ୍ତି ।

→ ଉଦାହରଣ :

  • C + O2 → CO2 + ତାପ ଏବଂ ଆଲୋକ
  • CH4 + O2 → CO2 + H2O + ଚାପ ଓ ଆଲୋକ
  • CH3CH2OH + O2 → CO2 + H2O + ଚାପ ଓ ଆଲୋକ

→ ଶେଷ ଦୁଇଟି ପ୍ରତିକ୍ରିୟାକୁ ସମତୁଲ କର ।
ଉ :
CH4 + 2O2 → CO2 + 2H2O + ଚାପ ଓ ଆଲୋକ
CH3CH2OH + 3O2 → 2CO2 + 3H2O + ଚାପ ଓ ଆଲୋକ

  • ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକ; ଯଥା – ମିଥେନ୍, ଇଥେନ୍, ପ୍ରାକୃତିକ ଗ୍ୟାସ୍, LPG, କର୍ପୂର, ଆଲକହଲ ବାୟୁରେ ଜଳିଲେ ସ୍ଵଚ୍ଛଶିଖା (Clean Flame) ଦେଇଥାଏ ।
  • ଅପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଯୌଗିକ; ଯଥା— ଇଥ, ଗନ୍ଧକର୍ପୂର, ବେଞ୍ଜିନ୍ ଇତ୍ୟାଦି ଜଳିଲେ କଳା ଧୂଆଁ ସହିତ ହଳଦିଆ ରଙ୍ଗର ଶିଖା ହେବ ।
  • ଗୋଟିଏ ଧାତବ ଥାଳି ରଖୁ କଳା କଣିକା ଥାଳି ଉପରେ ଜମିଯିବ । ବାୟୁର ଯୋଗାଣକୁ ସୀମିତ କରିଦେଲେ
  • ଘରଗୁଡ଼ିକରେ ବ୍ୟବହୃତ ହେଉଥ‌ିବା ଗ୍ୟାସ୍, କିରୋସିନ୍ ଷ୍ଟୋଭରେ ବାୟୁ ପାଇଁ ପ୍ରବେଶ ପଥ (Inlet) ଥାଏ, ଫଳରେ ଯଥେଷ୍ଟ ପରିମାଣର ଅକ୍‌ସିଜେନଯୁକ୍ତ (Oxygen rich) ମିଶ୍ରଣ ଏକ ସ୍ବଚ୍ଛ ନୀଳ ଶିଖା ଦେଇଥାଏ ।
  • ଯଦି ରନ୍ଧାପାତ୍ର କଳା ହୋଇଥାଏ ତେବେ ବାୟୁଛିଦ୍ର (airholes) ଗୁଡ଼ିକର ପଥ ଅବରୁଦ୍ଧ ହୋଇଯାଉଛି ଓ ଜାଳେଣୀ ନଷ୍ଟ ହେଉଛି ।

BSE Odisha 10th Class Physical Science Notes Chapter BSE Odisha 10th Class Physical Science Notes Chapter 4 କାର୍ବନ ଓ ଏହାର ଯୌଗିକ

→ ତୁମେ ଜାଣିଛ କି ?
ଶିଖା କିମ୍ବା ବିନାଶିଖା ସହ ପଦାର୍ଥଗୁଡ଼ିକ କାହିଁକି ଜଳେ ?

  • ଗୋଟିଏ ମହମବତୀ କିମ୍ବା ଗ୍ୟାସ୍ଟ୍ରୋଭରେ ଏଲ୍‌ପିଜି (LPG) ଏକ ଶିଖାସହ ଜଳେ । ଚୁଲିରେ କୋଇଲା କିମ୍ବା ଅଙ୍ଗାର (Charcoal) କେବଳ ନାଲିରଙ୍ଗରେ ଉଜ୍ଜ୍ବଳ ହୋଇ ଏବଂ ବିନାଶିଖାରେ ତାପ ନିର୍ଗତ କରିଥାଏ । ଏହାର କାରଣ ହେଲା, କେବଳ ଗ୍ୟାସୀୟ ପଦାର୍ଥ ଜଳିଲେ ଶିଖା ସୃଷ୍ଟି ହୋଇଥାଏ । କିନ୍ତୁ କାଠ କିମ୍ବା ଅଙ୍ଗାରକୁ ଜାଳିଲେ, ଏଥ‌ିରେ ଥ‌ିବା ଉଦ୍‌ୟୀ ପଦାର୍ଥଗୁଡ଼ିକ ବାଷ୍ପରେ ପରିଣତ ହୁଏ ଏବଂ ପ୍ରଥମେ ଶିଖାସହ ଜଳେ ।
  • ଗ୍ୟାସୀୟ ପଦାର୍ଥର ପରମାଣୁଗୁଡ଼ିକ ଉତ୍ତପ୍ତ ହେଲେ ଆଲୋକ ଓ ତାପ ବିକିରଣ କରିବାକୁ ଆରମ୍ଭ କରେ ଓ ପ୍ରଦୀପ୍ତ ଶିଖା (Luminous) ଦେଖାଯାଏ । ପ୍ରତି ମୌଳିକଦ୍ୱାରା ସୃଷ୍ଟ ବର୍ଣ୍ଣ ସେହି ମୌଳିକର ସ୍ବଭାବସିଦ୍ଧ (Characteristic) ଗୁଣ ।

→ କୋଇଲା ଏବଂ ପେଟ୍ରୋଲିୟମର ସୃଷ୍ଟି :
(i) ବିଭିନ୍ନ ପ୍ରକାର ଜୈବିକ ଏବଂ ଭୂତାନ୍ତ୍ରିକ (Biological and Geological ) ପ୍ରକ୍ରିୟା ଯୋଗୁଁ ଜୈବ ବସ୍ତୁତ୍ଵରୁ କୋଇଲା ଏବଂ ପେଟ୍ରୋଲିୟମ ସୃଷ୍ଟି ହୋଇଛି । ନିୟୁତ ନିୟୁତ ବର୍ଷପୂର୍ବେ ଜୀବିତ ଥିବା ଗଛ, ଫର୍ଶ ଏବଂ ଅନ୍ୟ ଉଦ୍ଭଦଗୁଡ଼ିକର ମୃତ ଦେହାବଶେଷ ହେଉଛି କୋଇଲା । ସମ୍ଭବତଃ ଭୂମିକମ୍ପ କିମ୍ବା ଆଗ୍ନେୟଗିରି ଉଦ୍‌ଗୀରଣ ଦ୍ଵାରା ଏଗୁଡ଼ିକ ପୋତି ହୋଇଗଲା । ମାଟି ଓ ପଥରର ସ୍ତରଗୁଡ଼ିକ ତଳେ ଚାପି ହୋଇ ରହିଲା । ଆସ୍ତେ ଆସ୍ତେ କ୍ଷୟପ୍ରାପ୍ତ ହୋଇ ସେଗୁଡ଼ିକ କୋଇଲାରେ ପରିଣତ ହେଲା ।

(ii) ସମୁଦ୍ରରେ ଥ‌ିବା ନିୟୁତ ନିୟୁତ କ୍ଷୁଦ୍ର ଉଭିଦ ଏବଂ ପ୍ରାଣୀର ମୃତ ଦେହାବଶେଷରୁ ତୈଳ ଏବଂ ଗ୍ୟାସ୍‌ର ସୃଷ୍ଟି । ମୃତ୍ୟୁପରେ ସେଗୁଡ଼ିକର ଦେହାବଶେଷ ସମୁଦ୍ର ଶଯ୍ୟା ତଳକୁ ବୁଡ଼ିଗଲା ଏବଂ ପଟୁଦ୍ୱାରା ଆଚ୍ଛାଦିତ ହୋଇଗଲା । ଉଚ୍ଚ ଚାପରେ ଥିବା ମୃତ ଅବଶେଷକୁ ବୀଜାଣୁ ଆକ୍ରମଣ କରି ସେଗୁଡ଼ିକୁ ତୈଳ ଓ ଗ୍ୟାସ୍‌ରେ ପରିଣତ କରିଦେଲା । ଏହି ସମୟ ମଧ୍ୟରେ ଚାପଦ୍ଵାରା ପଟୁ ଆସ୍ତେ ଆସ୍ତେ ଶିଳାରେ ପରିଣତ ହେଲା । ଶିଳାରେ ଥୁବା ଛିଦ୍ରଅଂଶଗୁଡ଼ିକ ମଧ୍ୟକୁ ତୈଳ ଓ ଗ୍ୟାସ୍ ବହିଗଲା ଏବଂ ସଞ୍ଚିତ ହୋଇ ରହିଲା ।

→ (b) ଜାଗଣ (Oxidation) :
କାର୍ବନ ଯୌଗିକଗୁଡ଼ିକ ଦହନଦ୍ୱାରା ସହଜରେ ଜାରିତ ହୋଇଥାନ୍ତି । ଏହି ସମ୍ପୂର୍ଣ ଜାରଣ ଛଡ଼ା ଅନେକ ପ୍ରତିକ୍ରିୟା ଅଛି ଯେଉଁଥରେ ଆଲ୍‌କହଲ ଗୁଡ଼ିକ କାର୍ବୋକ୍‌ଲିକ୍ ଏସିଡ୍ରେ ପରିଣତ ହୁଏ ।
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-21

→ (c) ପୋଖ ପ୍ରତିକ୍ରିୟା (Addition reaction):
ଅପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଉତ୍ପ୍ରେରକ ଉପସ୍ଥିତିରେ ହାଇଡ୍ରୋଜେନ ସହ ଯୋଗ ପ୍ରତିକ୍ରିୟା କରି ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନ ଦେଇଥାଏ ।
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-22
ଦନସ୍ପତି ତେଲଗୁଡ଼ିକରେ ସାଧାରଣତଃ ଅପୃକ୍ତ କାର୍ବନ ଶୃଙ୍ଖଳ ଥିବା ବେଳେ ପଶୁ ଚର୍ବିରେ ପୃକ୍ତ କାର୍ବନ ଶୃଙ୍ଖଳ ରହିଥାଏ ।
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-23

→ (d) ପ୍ରତିସ୍ଥାପିତ ପ୍ରତିକ୍ରିୟା (Substitution reaction)
ସୂର୍ଯ୍ୟାଲୋକ ଉପସ୍ଥିତିରେ କ୍ଲୋରିନ୍ ଅତି ଦୃତ ପ୍ରତିକ୍ରିୟା କରି ହାଇଡ୍ରୋକାର୍ବନ ସହ ସଂଯୋଗ କରିଥାଏ । ଏହି ପ୍ରତିକ୍ରିୟାରେ ପୃକ୍ତ ହାଇଡ୍ରୋକାର୍ବନର ହାଇଡ୍ରୋଜେନ ପରମାଣୁ ସ୍ଥାନରେ କ୍ଲୋରିନ୍ ପରମାଣୁ ଗୋଟି ଗୋଟି ହୋଇ ପ୍ରତିସ୍ଥାପିତ ହୋଇଥାଏ । ଏହାକୁ ପ୍ରତିସ୍ଥାପନ ପ୍ରତିକ୍ରିୟା କୁହାଯାଏ ।
BSE Odisha 10th Class Physical Science Notes Chapter 4 img-24
CH3CI + Cl2 → CH2Cl2 + HCl
CH2Cl2 + Cl2 → CHCl3 + HCl
CHCl3 + Cl2 → CCl4 + HCl

→ କେତୋଟି ପ୍ରଧାନ କାର୍ବନ ଯୌଗିକ-ଇଥାନଲ୍ ଏବଂ ଇଥାନୋଇକ୍ ଏସିଡ୍ (Some Important Carbon Compounds-Ethanol and Ethanoic acid) :
ଇଥାନଲାଭ ଧର୍ମ (Properties of Ethanol) :

  • ପ୍ରକୋଷ୍ଠ ତାପମାତ୍ରାରେ ଇଥାନଲ ଏକ ତରଳ ଅଟେ ।
  • ଏହାର ଗଳନାଙ୍କ 156K ଓ ସ୍ଫୁଟନାଙ୍କ 351K ।
  • ଇଥାନଲ୍‌କୁ ସାଧାରଣତଃ ଆଲକହଲ କହନ୍ତି ଏବଂ ଏହା ସମସ୍ତ ଆଲ୍‌କୋହଲିକ୍ ପାନୀୟର ସକ୍ରିୟ ଉପାଦାନ (Active ingredient) ।
  • ଏହା ଏକ ଉତ୍ତମ ଦ୍ରାବକ ହୋଇଥିବାରୁ ଏହାକୁ ଅନେକ ଔଷଧ (ଟିଙ୍କଚର ଆୟୋଡ଼ିନ୍, କାଶର ଔଷଧ (cough syrup) ଓ ଅନେକ ଟନିକ୍)ରେ ବ୍ୟବହାର କରାଯାଏ । ଏହା ମଧ୍ୟ ଜଳରେ ସବୁ ଅନୁପାତରେ ଦ୍ରବଣୀୟ ।

→ ରାସାୟନିକ ଧର୍ମ:

  • ସୋଡ଼ିୟମ ସହ ପ୍ରତିକ୍ରିୟା:
  • ସୋଡ଼ିୟମ୍ ଧାତୁ ଇଥାନଲ ସହିତ ପ୍ରତିକ୍ରିୟା କରି ହାଇଡ୍ରୋଜେନ ଗ୍ୟାସ୍ ନିର୍ଗତ କରେ ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-25
  • ଇଥାନଲ ଅଧ୍ଵ ପରିମାଣ ଗାଢ଼ ସଲଫ୍ୟୁରିକ୍ ଏସିଡ୍ ସହ 443K ରେ ଉତ୍ତପ୍ତ କଲେ ଇଥାନଲ ଅଣୁରୁ ଗୋଟିଏ ଜଳ ଅଣୁ ବାହାରିଯାଇ ଏଥୁନ୍ ସୃଷ୍ଟି ହୁଏ ।
    BSE Odisha 10th Class Physical Science Notes Chapter 4 img-26

CHSE Odisha Class 11 Alternative English Grammar Phrasal Verbs

Odisha State Board CHSE Odisha Class 11 Approaches to English Book 1 Solutions Grammar Phrasal Verbs Exercise Questions and Answers.

CHSE Odisha Class 11 Alternative English Grammar Phrasal Verbs

Some Of The Important Phrasal Verbs

1.Bear out: to support – The spectators did not bear out the true of her statement
2. Bear with: to tolerate – Mira cannot bear his arrogance.
3. Bear away: to receive – I hope to bear away the first prize.
4. Bear down: to overpower – I shall bear down my adversaries
5. Blow away: to drive away – The wind blew away his hat.
6. Blow out: to put out – Blow out the candle.
7.Blow, oyer: to pass away – Thank God, the storm has blown over
8. Break down: to grow weak – His health broke down due to overwork
9. Break into: to enter by breaking the walls – The thieves broke into his house last night.
10. Break forth: to cry – He broke forth at the sight of the snake.
11. Break off: to shatter relations- Why has she broken off with you?
12. Break out: to spread suddenly- Cholera has broken out in our locality.
13. Breakup: to disperse, – The meeting has not yet broken up
: to close – Our college has broken up for summer vacation
14. Bring about: to cause – Something has brought about a breach of their hearts.
15. Bring forward: to present – Bring forward your witnesses.
16. Bring up: to rear/ maintain – His stepmother has brought him up.
17. Bring round: to convince/persuade – Who can bring round the fort?
18. Bring out: to publish – The new edition of the book will be brought out soon.
19. Bring forth: to produce – The trees bring forth new leaves during spring
20. Call at: to visit somebody’s house – When will you .call at my house?
21. Call for: due for – Your behavior calls for, an explanation.
22. Call in: to send for – Call in the doctor at once
23. Call off: to declare an end – The strike has been called off.
24. Call on: to pay a brief visit – I shall call on the Chief Minister tomorrow.
25. Call up: to recall – Call up the meaning of this word
26. Carry away: moved aside – The strong current carried away the log of wood
27. Carry off: to spell death on – Plague carried off many people in our village.
28. Carry on: to continue – Carry on your speech
29. Carry out: to execute – You will have to carry out the Principal’s order.
30. Come about: to occur – How did the accident come about?
31. Come off: to take place – The. marriage of my sister will come off next month.
32. Come across: to meet – I came across Rohit this morning.
33. Come off: to belong to – She comes from a family of writers.
34. Cut down: to reduce – We should cut down our expenses
35. Cut off: to die – His daughter was cut -off in youth
36. Cut short: to make short – Cut short your hair
37. Do away with: to abolish – We have to do away with our blind superstitious
38. Do for: to ruin – After her husband’s death the old lady has been done for.
to serve the purpose of -This tool will do for a chair.
39. Do without to manage the absence of – The cattle cannot do without in fodder
40. Deal in: to trade in – My brother deals in sugar.
41. Deal out: to distribute – Shuffle and deal out the cards
42. Deal with: to associate – Do not deal with flirts.
43. Draw near: to approach – My examination is drawing near.
44. Draw up: to prepare – I have drawn up the scheme.
45. Fall away: to rebel – The soldiers have fallen away against the government.
46. Fall out with: to quarrel – Why did you fall out with your mother?
47. Fell in: to stand in a line – The soldiers were ordered to fall in
48. Fall off: to desert – His false friends fell off in the hour of his need.
49. Fall flat: to prove – All my schemes fell flat for want of money.
50. Fall through: to fail – AH die plans of the government fell through due to a lack of honest staff.
51. Fall to begin – He fell to eating as he was hungry.
gluttonously – The armies fell back after the cease-fire.
52. Fallback: to retreat – The old lady is unable to get about.
53. Get about: to move – The police could not get at the truth
54. Get at : to reach
55. Get on: to pull on – She is getting on well nowadays
56. Get over: to overcome – It is not easy to get over
57. Get through: to pass – We will get through the examination by all means.
58. Get up: crooked up / fabricated – I don’t believe in your got up story.
59. Get up: to wake up – Try to get up early in the morning
60 Give away: to distribute- The Chief Minister gave away the prizes
61. Give in: to yield – The Pakistan army had to give in.
62. Give out: to emit – The marigold gives out a sweet smell
63. Give up: to abandon/ Cease – Give up smoking and bad stop/company
64. Give to addicted to – He is given to drinking and gambling.
65. Give way: to yield – The chair gave away under his weight.
66. Go about: to attend/mind – Please go about your business
67. Go astray: to wander about to lose one’s way – Be careful lest your brother should go astray.
68. Go back on: to fail to keep – Do not go back on your promise.
69. Go in for: to buy – I want to go in for this car
70. Go off: to be discharged – The hunter’s gun did not go off.
71. Go out: to be extinguished – The lamp went out due to a storm.
72. Go through: to read – I have gone through the Gita from beginning to dying end
73. Go without to do in the absence of – I had to go without food for. two days.
74. Go up: to progress – May you go up day by day.
75. Hold on: to wait or stop – If you hold on for some time, you will” succeed.
76. Hold out: to offer – Do not hold out false promises to anyone.
77. Holdup: to stop and rob – A gang of robbers held up the car in broad daylight
78. Hold good: to be valid – This principle cannot hold good everywhere.
79. Hold off: to avoid – God knows,.why he holds off from me?
80. Handover: to give – I can not hand over my scooter to you.
81. Keep back: to conceal – I keep back nothing from you.
82. Keep aloof: to refrain – Please keep aloof from me.
83. Keep out: to hinder from anything – The umbrella keeps out the sun and shower.
84. Keep up: to preserve to – Keep up your spirits in the hour of grief.
85, Keep on: keep pace With – The old generation cannot keep up with the youth.
86. Knockdown: to maintain – Keep on studying and you shall attend success.
87. Knock off: to dash/throw down – I shall knock you down if you do not talk sense,
88. Lay by (up): to cease/stop – At what time do you Jcnock off your studies?
89. Lay down: to save – Lay by (up) something for (against) a rainy day
90. Lay out: to sacrifice – Do not hesitate in laying down your life for your country.
91. Lay up with: to be confined to bed – My sister is laid up with a fever.;
92. Look after: to take care – Parents should look after their, children carefully.
93. Look down upon: to despise/ hate – Never look down upon the poor.
94. Look up: to Locate/find – Look up the meaning of this word in the dictionary.
95. Look on (upon): to regard – I look on Mita as my sister.
96. Look to: to depend on – I look to you only for help
97. Look for: to search for – I am looking for my lost purse.
98. Look forward to expect pleasure – 1 am looking forward to my sister’s return
99. Look into: to give attention to – Please look into this matter attentively.
100. Make after: to pursue -The mob made after the pickpocket.
101. Make for: to go – The bride made for her town.
102. Make out: to understand – 1 cannot make out the meaning of this phrase.
103. Makeup with: to be reconciled – I have made up with my neighbor.
104. Makeup: to recoup/ regain – 1 shall try to make up my deficiency in Mathematics
105. Makeup mind: to determine – I have made up my mind to help you
106. Made off with: to run away with – The thief made off with my scooter.
107. Pass oil: to overtake – Let the Director’s car pass on
108. Pass away: to die – The old man passed away peacefully.
109. Pass for: to be regarded as – A millionaire passes for a wealthy man in a rural area.
110. Pull down: to demolish – The bulldozer pulled down the building within no time.
111. Pull through: to recover – There is full hope that the patient will pull down
112. Pull together: to coexist/cooperate – It is difficult for the bride and the mother-in-law to pull together
113. Put down: to crush – The king put down the revolt instantly.
114. Put up: taste – In which hotel are you putting up?
115. Put up with: to tolerate – I cannot put up with this silly joke.
1 16. Put out: to extinguish – Put out the candle
117. Put on: to wear – Do not put on dirty clothes.
118. Put off: to postpone – Do not put me off with a hollow promise
119. Put am, end to discontinue – He has put an end to his studies.
120. Run after: to crave for – Do not run after sensual objects
121. Run down: to stop – My watch has run down because 1 did not wind it.
122. Run into: to dash/collide with – A car ran into a tree and got smashed
123. Runout: to exhaust – The oil in the lamp has run out
1 24. Run over: to be crushed under – A bus runs over an old woman.
125. See to: to attend to – I shall see to your problems sympathetically
126. See off:I shall see to your problems sympathetically – I shall accompany you to see off you to the station
127. Set apart: to keep on reserve – I have set apart some money for my son’s education
128. Set aside: to reject – He set aside my proposal.
129. Set about: to commence (to inaugurate)- When will you set about your work?
130. Set in: to begin – The rains are likely to set in next week.
131. Set off/out: start a journey – He has set off/out his long journey
132. Setup: to establish – He has set up a factory.
133. Standby: to support – I shall stand by you through thick and thin.
134. Stand up for: defeat – You should stand up for your, tights.
135. Take after: to resemble – He takes after both his daddy and mummy.
136. Take down: to put down/ remove from – I took down the burden from my head.
137. Take for: to confuse – I took the rope for a snake.
138. Take to: to become addicted to – He took to smoking at the age of sixty
139. Take off: to put off/to remove – I took off my coat because 1 was feeling hot.
140. Take to heart: to feel/mind – Do not take my jokes to heart.
141. Take heart: to pick up the courage – He took heart and nabbed the thief
142. Tell upon: to affect (adversely) – Overwork tells upon one’s health.’
143. Turn aside: to turn in another’s direction – On seeing me, he turned aside his face.
1 44. Turnout/ away: to dispose of the service to – The result of the match turned out to be a thrilling one.
145. Turn off: to stop the function of – Turn off the tap.
146. Turnup: to appear/reach – fie turned up the meeting in time.
147. Turn on: to make the function start – Turn on the tap and wash your hands.
148. Work out: to solve – Work out the sums.
1 49. Work up: to incite – Don’t work up the old lady’s anger.

Exercise For Practice

Use appropriate phrasal verbs for the following italicized verbs:

1. The baby resembles its mother.
2. He has read this- novel.
3. I cannot tolerate his insulting words.
4. I have postponed the meeting.
5. They cannot understand his speech.
6. My father has stopped smoking.
7. He is searching for his lost pen.
8. The man cheats every man in this way.
9. We should not despise the poor.
10. The police followed the thief.
11. His grand father died last night
12. The two women cried loudly
Answer:
Appropriate phrasal verbs are used.
1. The baby takes after its mother.
2. He has gone through this novel.
3. I cannot put up with his insulting wo
4. I have put off the meeting.
5. They cannot make out his speech.
6.My father has given, up smoking.
7. He is looking for his lost pen.
8. The man takes in every one in this way.
9. We should not look down upon the poor.
10. The police ran after the thief.
11. His grand father passed away last night.
12. The two women fell out loudly loudly.

CHSE Odisha Class 12 Math Notes Chapter 10 Area Under Plane Curves

Odisha State Board CHSE Odisha Class 12 Math Notes Chapter 10 Area Under Plane Curves will enable students to study smartly.

CHSE Odisha 12th Class Math Notes Chapter 10 Area Under Plane Curves

CHSE Odisha Class 12 Math Notes Chapter 10 Area Under Plane Curves 1
Area of the portion bounded by x-axis the curve
y = f(x) and two ordinates at x = a and x = b.

CHSE Odisha Class 12 Math Notes Chapter 10 Area Under Plane Curves 2
= Area of the portion bounded by y-axis,
the curve x = f(y) and two abscissa at y = c and y = d.

Area between two curves y = f(x), y g(x) with g(x) < f(x) in [a, b] and between two ordinates
x = a and x = b is given by \(\int_a^b\){f(x) – g(x)}dx

CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability

Odisha State Board CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability will enable students to study smartly.

CHSE Odisha 12th Class Math Notes Chapter 7 Continuity and Differentiability

Definition:
A function f is said to be continuous at a point a Df if
(i) f(x) has definite value f(a) at x = a,
(ii) limx->a f(x) exists,
(iii) limx->a f(x) = f(a).
If one or more of the above conditions fail, the function f is said to be discontinuous at x = a. The  above definition of continuity of a function at a point can also be formulated as follows:
A function f is said to be continuous at x = a if
(i) holds and for a given ∈ > 0, there exists a δ > 0 depending on ∈ such that
|x – a| < 8 ⇒ |f(x) – f(a)| < ∈.
A function f is continuous on an interval if it is continuous at every point of the interval.
If the interval is a closed interval [a, b] the function f is continuous on [a, b] if it is continuous on (a, b),
limx->a+ f(x) = f(a) and limx->b- f(x) = f(b).

CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability

Differentiation of a function:
(a) Differential coefficient (or derivative) of a function y = f(x) with respect to x is
CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability 1

Fundamental theorems:
CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability 2
Then to get \(\frac{d y}{d x}\) it is convenient to take log of both sides before differentiation.

Derivative of some functions:
CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability 3

Higher order derivative:
CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability 4

CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability

Leibnitz Theorem:
If ‘u’ and ‘v’ are differentiable functions having ‘n’th derivative then
\(\frac{d^n}{d x^n}\)(u.v) = C0unv + C1un-1v1 + C2un-2v2 + ….. + Cnuvn

Partial derivatives and Homogeneous functions:
(a) If z = f(x, y) is any function of two variables then the partial derivative of z w.r.t. x and y are given below.
CHSE Odisha Class 12 Math Notes Chapter 7 Continuity and Differentiability 5
(b) Homogeneous function:
z = f(x > y) is a homogeneous function of degree ‘n’ if f(tx, ty) = tn f(x, y).

Euler’s Theorem:
If z = f(x, y) is a homogeneous function of degree ‘n’ then \(x \frac{\partial f}{\partial x}+y \frac{\partial f}{\partial y}\) = nf(x, y).

CHSE Odisha Class 11 Alternative English Grammar Modals

Odisha State Board CHSE Odisha Class 11 Alternative English Solutions Grammar Modals Exercise Questions and Answers.

CHSE Odisha Class 11 Alternative English Grammar Modals

What is a verb?
Answer:
A Verb is a word that expresses an action or fact.
Example:
1) I do my work.
2) Kuni sings a song.
4) They play cricket.
3) I can help you.
5) He will read English.

In the above sentences, words like do, sing, can help, play and will read are called verbs as they are action words Verbs can be divided into the following classes.
1) Auxiliary verbs.
2) Ordinary Verbs.
3) Verbs of Incomplete Predication.

1) Auxiliary Verbs:
The verbs that help their principal or main verbs to form their tenses, moods on negative sentences are called Auxiliary Verbs. They are also called helping verbs.
Example:
1) He is reading English now.
2) I have passed the examination.
3) He Will do this.
4) I do not sing a song.
5) You should read mindfully.
6) They were playing cricket yesterday.
7) ye had completed his work.
8) You need not worry.
9) He can help you.
10) It may rain today.

CHSE Odisha Class 11 Alternative English Grammar Modals

In the above sentences, the words is, have, will, do, should, were, had, need, can, may etc. are called Auxiliary Verbs.
Types of Auxiliary Verbs:
Auxiliary verbs can be classified into two types
(A) Chief/primary Auxiliary Verbs and
(B) Modal Auxiliaries.

(A) Chief/Primary Auxiliary Verbs:
To be (is, am, are, was, were)
To do ( do, does, did)
To have (has, have, had)
They can be used as Main/finite verbs.
Example:
1) I do my work.
2) He does his work.
3) They did their sums.
4) Bhubaneswar is the capital of Odisha.
5) We are students.
6) I am twenty years old.
7) His father was tall.
8) I have a scooter.
9) He has no pen.
10) The child had a toy.
11) They were at home.

(B) Modal Auxiliaries- Definition:
The helping verbs which show the mode or attitude of the main verb are called Modals.Will, shall, can, could, may, might, w&bld, should, must, dare, need, used to, aught to are called Modal Auxiliaries. Modal Auxiliaries are never used alone. They are always used with the chief (Main/ Principal) Verbs. Modal Auxiliaries can be used invariably as Helping Verbs.
Examples:
1) We should do our duty.
2) You can speak English.
3) He might not come.
4) You must try your luck.
5) She used to take exercise daily.
6) We ought to obey our parents.
7) You need not worry.
8) Dare he go against you?

Specific Qualities of Modals:
1. Modals show, willingness, advice, promise, determination, threat, supposition, inference, duty, obligation, request, possibility, permission, suggestion, instruction, power, capability, ability etc.
2. Modals are never used alone. They are always used with such words as are applied (clear) or implied (understood).
3. Modals are not governed by the number, gender and person of the subject. In other words, no change takes place or is affected in their basic or genuine form. They always remain unchanged or alike.
4. Only the first/crude form of verb is used with the Modals. The infinitive without ‘to’ is used with them. The infinitive ‘to’ is used only with the Modals used (used to) and ought (ought to).

CHSE Odisha Class 11 Alternative English Grammar Modals

Use Of Modals:
1. CAN

1. ‘Can’ shows capability or strength.
Examples:
1. He can teach you.
2. I can run five kilometers.
3. My friend can do your work.

2. It shows nature.
Examples:
1. He can cheat you.
2. They can harass him.

3. It shows ability/skill.
Examples:
1. I can cross the river.
2. He can repair your machine.

4. It shows permission.
Examples:
1. You can go home now.
2. He can leave this place.

5. It shows probability.
Example:
1. Accident can. happen at any time bn NH-5!

6. It shows incompetency or improbability.
Example:
1. Anyone can’t do these sums.

7. It shows inefficiency/inability.
Example:
1. You cannot teach English.
The negation of can is can not or can’t, can not (can’t) shows incompetency, Improbability inefficiency or inability. In other words, it shows a lack/absence of capability, strength, nature, ability, skill, permission, probability etc.
N.B: Cannot is written as one word. To write can and not as separate words is wrong according to traditional grammarians.

CHSE Odisha Class 11 Alternative English Grammar Modals

2. COULD

1. Could shows/permission/freedom/determination.
Example:
1. My mother could do whatever she wanted to do.
2. I could help you whatever situation faced.

2. It shows capability/strength.
Examples:
1. He asked me if I could lend him some money.
2. I could complete the work in time.

3. It shows ability.
Examples:
1. She could sing well if she desired.
2. He could obtain first class if he tried.

4. It shows capacity and probability.
Examples:
1. If he saved enough money he could purchase a car.
2. If she laboured hard, she could pass the examination.

5. It shows polite request.
Examples:
1. Could you tell me the time.
2. Could you lend me hundred rupees?

6. It shows mild annoyance/request.
Example:
1. Couldn’t he wait for a few minutes more?
So, the negative of could is could not or couldn’t.

Actually, could is the past form of can. Therefore, could serve both the past time and present time situation.
1. I am sorry I could not ring you five minutes earlier.
Here, the time ‘five minutes earlier’ can be taken either as past or as present time.
2. Could I help you in lifting the load?
It means ‘should I lift you in lifting the load?’ It shows present time situation.

CHSE Odisha Class 11 Alternative English Grammar Modals

3. MAY

1. May shows desire/permission.
Examples:
1. You may use my pen.
2. He may complete my work.

2. It shows request/desire to seek permission.
Examples:
1. May I have your scooter?
2. May he teach English?

3. It shows probability.
Examples:
1. She may stand first in her class.
2. He may be selected for this job.

4. It shows likelihood/probability. Examples:
1. It may rain tonight.
2. The weather may be cloudy today.

5. It shows keen desire.
Examples:
1. May she have a son!
2. May he be a doctor!

6. It shows aim and objective. Examples:
1. I eat so that I may remain fit.
2. He does exercise so that he may have good health.

7. It shows desire/request.
Examples:
1. May she get a good partner!
2. May he have a good friend!

8. It shows lack of probability.
Examples:
1. He may not attend my birthday party.
2. They may not do the work.
However, the negative of May is May not or Mayn’t.

CHSE Odisha Class 11 Alternative English Grammar Modals

4. MIGHT

1. Might shows probability
Examples:
1. He thought that he might return home in time.
2. The doctor felt that he might cure the patient.

2. It shows excessive modesty/humility.
Examples:
1. Might I use your scooter?
2. Might they use his car?

3. It shows guess.
Examples:
1. She might have finished her breakfast.
2. They might have finished their work.

4. It shows purpose.
Examples:
1. He ran fast so that he might reach college m time.
2. He organised the meeting so that he might discuss the plan.

5. It shows doubtful probability in future.
Examples:
1. He has not promised, but he might lend me money.
2. He has not known it, but he might be ready to attend the picnic with us.

6. It shows permission.
Examples:
1. The referee said that we might play the 1 match.
2. Our Principal said that I might attend the examination.

Actually, Might is the past form of May. Therefore Might shows both the past time and present time-situations. May i use your phone? Here, desire is expressed and permission- is sought to use the phone. The negative of Might is Might not.

CHSE Odisha Class 11 Alternative English Grammar Modals

Exercise For Practice:
Fill in the following blanks with ‘can’, ‘could’, ‘may’, or ‘might’ whichever is appropriate.
1. ___________ God grant her long life.
2. She wore gaudy clothes so that she __________ looks charming.
3. The teacher asked me if I __________ prepare a chart.
4. __________ you carry this heavy trunk?
5 The patient tries to walk but he __________ not.
6. The news of her failure __________ be false.
7. She didn’t attend my birthday party but she __________ send a gift.
8. She ran fast so that she __________ catch the bus.
9. I know that I catch the thief.
10. I prayed that the patient I ____________ live long.
11. You __________ go in now and see the Secretary.
12. When I was young I ___________ run very fast.
13. Mr. Narendra __________ speak and write Hindi.
14. He __________ have left for Tamil Nadu.
15. She __________ come today.
Answer:
‘Can’, ‘could’, ‘may’ or ‘might’ are used in the blanks.
1. May God grant her long life.
2. She wore gaudy clothes so that she might look Charming.
3. The teacher asked me if I could prepare a charts.
4. Can you carry this heavy trunk?
5. The patient tried to walk but he could not.
6. The news of her failure may be false.
7. She didn’t attend my birthday party but she might send a gift.
8. She ran fast so that she might catch the bus.
9. I knew that I could catch the thief.
10. I prayed that the patient might live long.
11. You can go in now and see the Secretary.
12. When I was young I could run very fast.
13. Mr. Narendra can speak and write Hindi.
14. He might have left for Tamil Nadu.
15. She may come today.

CHSE Odisha Class 11 Alternative English Grammar Modals

5. SHALL

1. Shall is used in simple future.
Examples:
1. I shall take part in the tournament next week.
2. We shall serve our country.

2. It is used to know the desire of the hearer.
Examples:
1. Shall I visit your house?
2. Shall we prepare coffee for you?

3. It is used to show promise.
Examples:
1. She shall get a saree if she stands first.
2. He shall get a bicycle if he passes the examination.

4. It is used to show threat/warning.
Examples:
1. You shall be expelled from the college for your misconduct.
2. Bf shall be punished for his crime.

5. It is used to show order.
Examples:
1. i say you shall post this letter.
2. I tell he shall do this work.

6. It is used to show suggestion/proposal.
Examples:
1. Shall we have some rest now?
2. Shall you attend the interview?

7. It is used to show desire.
Examples:
1. We shall accept your present.
2. He shall receive your gift.

CHSE Odisha Class 11 Alternative English Grammar Modals

8. It is used to show intention or planning.
Examples:
1. I shall buy the blankets.
2. He shall purchase a car.
Shall is also used with first Person Pronouns i.e. I or we to show future (time) intention, programme or reference.

6. WILL

1. Will is used in simple future.
Examples:
1. We will go for a picnic next week.
2. I will help the poor lady with money.

2. It is used to show humble request.
Examples:
1. Will you take your seat, please?
2. Will you give me your pen, please?

3. It is used to show routine.
Examples:
1. He will often bum midnight oil.
2. He will attend the college in time.

4. It is used to show forewarning.
Examples :
1. If you insult your parents,.you will be ruined.
2. If you misbehave our Principal, you will be expelled from the college.

5. It is used to show firm determination.
Examples:
1. He will not yield before any pressure.
2. I will complete the work at any cost.

6. It is used to show the speaker’s keen desire.
Examples:
1. After reaching Madurai, we will see the
2. Meenakshi temple.

7. It is used to show promise.
Examples:
1. I will -repay your loan next month.
2. I will deposit your money next Monday.

8. It is used to show proposal/ardent, desire. Examples:
1. We will help Karan as far as possible.
2. I will help you at any cost.

9. It is used to show order/, instruction/warning.
Examples:
1. You will be honest in future.
2. You will be penalised if you don’t attend the meeting.

CHSE Odisha Class 11 Alternative English Grammar Modals

10. It is used to show capacity.
Examples:
1. This bag will hold all the books.
2. This room will accommodate five students.

11. It is used to show quality
Examples:
1. The machine will do all types of calculations.
2. This typewriter will type Odtya well.

12. It is used to show threat.
Examples:
1. I will teach her a lesson.
2. I will punish you if you disobey my, words.
Will is also used, with first-person pronouns to show determination.

7. WOULD

1. Would is used in the past tense of will.
Examples:
1. She said that she would help me in my need.
2. He said that he would do my work next day.

2. It is used to show humble request/routine.
Examples:
1. Would you please post this letter for me?
2. My mother would go to the temple every morning.

3. It is used to know hearer’s intention.
Examples:
1. Would you like to stay with me tonight?
2. Would you like to share with me in supper?

4. It is used to show improbable situation.
Examples:
1. Would I was the Prime Minister of the country!
2. If I were you, I would help you.

5. It is used to denote desire.
Examples:
1. I would like to give you some trouble.
2. It would create problem for you for this mistake.

6. It is used to show preference.
Examples:
1. I would rather quit than submit to undue pressure.
2. We would rather leave this place in order to avoid fighting.

7. It is used to know intention.
Examples:
1. Would you mind giving me a lift in your car?
2. Would you mind to assist me in my work?

CHSE Odisha Class 11 Alternative English Grammar Modals

8. It is used to show failure of an activity.
Examples:
1. Our scooter wouldn’t start, so we reached the office by bus.
2. He wouldn’t help you, as he had no money.

8. SHOULD

1. Should is used in the past form of will/shall.
Examples:
1. She said that I should not bother her. He suggested that we should help them.

2. It is used to denote duty.
Examples:
1. The teacher should show good-result.
2. You should obey your parents.

3. It is used to denote obligation.
Examples:
1. You should keep your words.
2. He should stick to his promise.

4. It is used to denote advice.
Examples:
1. You should read mindfully.
2. She should serve her mother-in-law.

5. It is used to denote suggestion.
Examples:
1. You should engage a tutor for your son.
2. You should do exercises to keep your body fit.

6. It is used to denote imagination.
Examples:
1. Should you go to the post office bring me some post card.
2. Should he go to the market and buy things for me.

7. It is used to show desire.
Examples:
1. Should I speak to Mohan?
2. Should I meet your father?

8. It is used to denote opinion.
Examples:
1. You should see a doctor at once.
2. He should check his disease in a specialist.

CHSE Odisha Class 11 Alternative English Grammar Modals

9. It is used to show probability.
Examples:
1. Should she come here, we shall protect her.
2. Should he come to help me?

10. It is used to denote guess.
Examples:
1. Rakesh should be here by now.
2. He should reach there by this time. Should is also used as the past tense of will shall.

Exercise For Practice:
Fill in the following blanks with ‘will’, ‘shall’, ‘would’ or ‘should’ whichever is appropriate.
1. Sarala __________ be back from college by now.
2. From Mathura we __________ go to Kanpur.
3. __________ we go out and enjoy ourselves in the park?
4. Susma asked Priya what she __________ do under the circumstances.
5. They __________ get there by nine O’clock.
6. I asked him who __________ help me in the hour of need.
7. Nobody __________touch my pen without my permission.
8. I wish it __________stop raining.
9. The nurse told the patient that she go on long leave.
10. You said that you __________ stage a drama.
11. Here you __________ have mangoes for the picking.
12. I __________never tell a lie.
13. What __________ be the correct spelling?
14. __________ you come to tea this evening.
15. __________ you travel in a taxi or a bus?
16. She __________ pass, won’t she?
Answer:
The blanks are filled with ‘will’, ‘shall’, ‘would’ or ‘should’.
1. Sarala should be backed from college by now.
2. From Mathura we will go to Kanpur.
3. Shall we go out and enjoy ourselves in the park?
4. Susma asked Priya what she should do under the circumstances.
5. They will get there by nine O’clock.
6. I asked him who would help me in the hours of need.
7. Nobody shall touch my pen without my permission.
8. I wish it would stop raining.
9. The nurse told the patient that she would go on long leave.
10. You said that you would stage a drama.
11. Here you shall love mangoes for the picking.
12. I will never tail a lie.
13. What should be the correct spelling?
14. Will you come to tea this evening?
15. She will pass, won’t she?

9. MUST

1. Must is used to denote obligation.
Example:
1. You must return my book at once.
2. He must pay my money in time.

2. It is used to denote compulsion. Examples:
1. I must buy a wristwatch, because I get late every day.
2. He must purchase a bike so that he can reach office in time.

CHSE Odisha Class 11 Alternative English Grammar Modals

3. It is used to denote necessity.
Examples:
1. You must teach her a lesson.
2. He must show his son the right path.

4. It is used to denote necessity/ compulsion.
Examples:
1. Everyone must follow the traffic rules.
2. A student must obey the rules and regulations of the college.

5. It is used to denote sincere advice.
Examples:
1. The bride must serve her aged mother-in-law.
2. You must obey your parents.

6. It is used to denote guess.
Examples:
1. The old lady must be around seventy.
2. He must be above forty.

7. It is used to denote probability.
Examples:
1. My uncle must have reached home by now.
2. They must have completed the work before time.

8. It is used to denote logical necessity.
Examples:
1. There is a heavy downpour, must take your umbrella with you.
2. You are going to attend the examination, you must bring with you your admit card.

9. It is used to denote guess about past activity.
Examples:
1. She caught a thief, she must have been very brave.
2. He secured first class, he must be intelligent.

10. It is used to denote denial/restriction/ advice.
Examples:
1. You must not (mustn’t) go out in the dark.
2. She must not (mustn’t) betray her mother.

CHSE Odisha Class 11 Alternative English Grammar Modals

10. OUGHT

1. Ought is used to denote duty.
Examples:
1. The students ought to request their teacher.
2. We ought to obey our parents.

2. It is used to denote social bondage.
Examples:
1. We ought to serve our old parents.
2. The mother ought to take care of her children.

3. It is used to denote moral duty/ obligation.
Examples:
1. We ought to do our duty.
2. The citizen ought to obey the government Rules.

4. It is used to denote suggestion.
Examples:
1. You ought to join some tutorial group.
2. He ought to take admission in a popular institution.

5. It is used to denote guess.
Examples:
1. Rajesh ought to be here by now.
2. They ought to complete the work this evening.

6. It is used to denote strong probability.
Examples:
1. She has burnt midnight oil. She ought to score a high percentage of marks.
2. He is labouring day and night. He ought to secure 90% of marks in the examination.

7. It is used to denote neglectful conduct
Examples :
1. You ought to have obeyed your father.
2. He ought to carry out the direction of his uncle.
N:B: Ought to = should. Oughtn’t is the negative of ought. Oughtn’t we respect our elders?

CHSE Odisha Class 11 Alternative English Grammar Modals

11. NEED

Generally, need is used in
1. Present.
Examples:
1. I need money.
2. We need your help.

2. Past.
Examples:
1. He needed my help.
2. I needed to follow his advice.

3. Future.
Examples:
1. You will need these books.
2. He will need my help.

4. Negative.
Examples:
1. She does not need woolen clothes.
2. I do not need your money.

In the “above sentences, need has been used as Principal/Main verb. Here, need means to feel the necessity of. Need can be conjugated as- Need (present), needed (past), needed (past participle) and needing (present participle).

Use of Need as Modal:

1. Need is used to denote absence of necessity.
Examples:
1. You need not wait for him.
2. We need not wait for the second chance.

2. It is used to denote necessity.
Examples
1. What need you go to her house?
2. What need you purchase this book?

3. It is used ‘to denote absence of necessity/negation.
Examples:
1. We need not go to school on Sundays.
2. You need not do this.

4. It is used in interrogation.
Examples:
1. Need she serve you a cup of hot tea?
2. Need he give you some money?

N:B:
1. Needn’t is the negative of Need.
2. Need does not have a past form when used on Modal Auxiliary.
3. Need is invariably used in Present Tense. The infinitive without ‘to’ is used as its object.
4. Needn’t + Perfect infinitive (needn’t+Have+v) is used in expressing “the unnecessary activities which have been done by mistake; as- You needn’t have given her your shawl, because she has many shawls. This means ‘you made a mistake in giving her your shawl’.

CHSE Odisha Class 11 Alternative English Grammar Modals

12. DARE

Dare is generally, used as;
1. I dare say that Jone is a mean fellow.
2. The child dares to go in the dark.
3. She dared to risk her life.

In the above sentences, dare has been used as a Principal Verb. It means ‘Misadventure/negative courage/undesired courage’
Dare can be conjugated as Dare (Present), Dared (Past), Dared (Past Participle) and Daring (Present Participle). The infinitive ‘to’ is normally used with ‘Dare’.
Uses of Dare as Modal:
1. Dare is used to denote interro¬gative misadventure.
Examples:
1. Dare he say so?
2. Dare they speak against you?
3. Dare you step in her room?

2. It is also used to denote negative misadventure. Examples:
1. You daren’t meet me after school hours.
2. She daren’t help you against the police. Hence, you have marked that dare is used to show challenge or misadventure. It is used in negative as well as interrogative sentences.
Dare is also used in prohibitory sentences.
Example:
You dare not abuse your seniors.
As a ‘ defective verb’- dare is only used in prohibitory and interrogative sentences. . Date is a defective verb can be conjugated as Dare (Present), Pared/Dust (Past and Past Participle). The infinite ‘to’ is not used in such sentences, as
1. You dare not say so. (Present)
2. How dare you call her names? (Present Interrogative)
3. She dared not oppose her husband. (Past)
4. How dust she open my box. (Past-interrogative)

N:B: ‘Dare’ is an odd type of verb. As a matter of principle, the infinitive with ‘to’ is used with do/did in the negative ‘ and interrogative forms of ‘Dare’; but ‘to’ is generally eluded (dropped) in usage; as
1. Did he dare (to) oppose my proposal?
2. How does he dare (to) criticize what I said?
He dared not (to) speak a word against the decision.

CHSE Odisha Class 11 Alternative English Grammar Modals

13. USED TO

‘Used to’ is used to denote past habit.
Examples:
1. I used to bathe in the river.
2. He used to do coming walk every day.

2. It is used to denote old past habit but now given up.
Examples:
1. He used to drink before going to bed daily.
2. He used to puff a cigarette after meal.

3. It is used to denote negative.
Examples:
1. She used not to disobey her husband.
2. The students used not to disobey their Principal.

4. It is used to denote interrogation.
Example:
1. Used he to tell lies.
In the above sentences, ‘used to’ has been used to show old habit (in or out of practice at the time of speaking).

‘Used to’ does not have the present tense form. It is invariably used in the past. Now, read the following sentences.
1. I am not used to such, treatment.
2. She got used to drinking.
3. I am used to a life of struggle.
4. Mind it, 1 am not used to this kind of silly behaviour.
5. I am not used to going out in the dark In the above sentences, “used to’ mean;
‘accustomed to’. Some (form of be/seen/gel become is used before ‘used to’ in such sentences.

Exercise For Practice:
Fill in the following blanks with ‘must’ ‘need’, ‘ought to’, ‘dare’ or ‘used to whichever is appropriate:
1. She ___________ not pay the fine.
2. Who rings the bell? That __________ be the housemaid.
3. You __________ to have helped your sister in this hour of need.
4. ___________ he ______ drink when he was in his teens?
5. She __________not __________ sit idle.
6. You ___________ meet her after college hours.
7. My father___________ read the Geeta everyday when he was alive.
8. He ___________ beat his children when they were small.
9. You ___________to help the poor and the needy.
10. Your brother __________ hot take the trouble.
11. She ___________ obey her parents and parents-in-laws.
12. ___________ they utter such abusive words.
13. We__________ to respect our elders.
14. __________ you step in the room of your neighbour’s wife.
15. __________ the beggar give you some money?
16. You __________ use abusive language.
17. __________I receive you at the railway station?
18. You __________to serve yoUr aged parents.
19. __________he go against me ?
20. You __________ leave the college premises at once.
Answers:

Blanks are filled with ‘must’, ‘need’, ‘ought to’, ‘dare’ or ‘used
1. She need not pay the fine.
2. Who rings the bell? That must be the house-made.
3. You ought to have helped your sister in this hour of need.
4. Used he to drink when he was in his teens?
5. She used not to sit idle.
6. You daren’t meet her after college hours.
7. My father used to read the Geeta every day when he was alive.
8. He used to beat his children when they were small.
9. You ought to help the poor and the needy.
10. Your brother need not take the trouble.
11. She must .obey her parents and parents-in-law.
12. Dare they utter such abusive words?
13. We ought to respect our elders.
14. Dare you step in the room of your neighbour’s wife.
15. Need the beggar give you some money.
16. You mustn’t use abusive language.
17. Need I receive you at the railway station?
18. You ought to serve your aged parents.
19. Pare he go against me?
20. You must leave the college premises at once.

CHSE Odisha Class 11 Alternative English Grammar Modals

Exercise:
Fill in the following blanks with Modals.
1. I __________reach Bhubaneswat oh Sunday morning. .
2. __________ she stay here tonight?
3. We__________ always speak the truth.
4. __________ you please lend me your book?
5. We eat that we __________ live.
7. She __________ have lost her purse.
8. Anyone _____ make mistakes.
9. __________ you tell me^the time ?
10. You __________ not waste your money.
11. You __________ not worry about me.
12. You __________ not challenge your officers.
13. She __________ visit our house every week.
Answer:
Blanks are filled in with Modals.
1. I shall reach Bhubaneswar on Sunday morning.
2. Will she stay here tonight?
3. We should always speak the truth.
4. Would you please lend me your book?
5. We eat that we may live.
6. She might have lost her purse.
7. Anyone can make mistake.
8. Could you tell me the time?
9. You must not waste your money.
10. You need not worry about me.
11. You dare not challenge your officers.
12. She used to visit our house every week.