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HBCSE Answer sheet INPhO -2009 Name: Roll No.P09 PART-A No. (a) (b) (c) (d) Mark No. (a) (b) (c) (d) Mark 1. a b c d 20. a b c d 2. a b c d 21. a b c d 3. a b c d 22. a b c d 4. a b c d 23. a b c d 5. a b c d 24. a b c d 6. a b c d 25. a b c d 7. a b c d 26. a b c d 8. a b c d 27. a b c d 9. a b c d 28. a b c d 10. a b c d 29. a b c d 11. a b c d 30. a b c d 12. a b c d 31. a b c d 13. a b c d 32. a b c d 14. a b c d 33. a b c d 15. a b c d 34. a b c d 16. a b c d 35. a b c d 17. a b c d 36. a b c d 18. a b c d 37. dropped 19. a b c d 38. a b c d Subtotal : Subtotal : Total : HOMI BHABHA CENTRE FOR SCIENCE EDUCATION Tata Institute of Fundamental Research V. N. Purav Marg, Mankhurd, Mumbai, 400 088

Inpho 2009 Model Solutions

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Page 1: Inpho 2009 Model Solutions

HB

CSE

Answer sheet INPhO -2009

Name: Roll No.P09

PART-A

No. (a) (b) (c) (d) Mark No. (a) (b) (c) (d) Mark

1. ka kb {c kd 20. ka kb kc {d2. ka {b kc kd 21. ka kb {c kd3. ka kb kc {d 22. {a kb kc kd4. ka {b kc kd 23. ka kb {c kd5. ka kb {c kd 24. ka kb {c kd6. {a kb kc kd 25. ka kb {c kd7. ka {b kc kd 26. {a kb kc kd8. ka kb kc {d 27. {a kb kc kd9. ka {b kc kd 28. ka kb kc {d10. ka kb {c kd 29. ka kb {c kd11. ka kb {c kd 30. ka kb {c kd12. ka kb kc {d 31. ka kb kc {d13. ka {b kc kd 32. ka kb {c kd14. ka kb {c kd 33. ka kb kc {d15. ka {b kc kd 34. {a kb kc kd16. {a kb kc kd 35. {a kb kc kd17. {a kb kc kd 36. {a kb kc kd18. {a kb kc kd 37. dropped19. ka kb kc {d 38. ka {b kc kd

Subtotal : Subtotal :

Total :

HOMI BHABHA CENTRE FOR SCIENCE EDUCATIONTata Institute of Fundamental Research

V. N. Purav Marg, Mankhurd, Mumbai, 400 088

Page 2: Inpho 2009 Model Solutions

HB

CSE

Answer sheet INPhO -2009

Name: Roll No.P09

PART - B

No. (a) (b) (c) (d) (e) Mark No. (a) (b) (c) (d) (e) Mark

1. ka kb {c kd ke 11. ka kb kc kd {e2. {a kb kc kd ke 12. ka {b kc kd ke3. ka kb kc {d ke 13. {a kb kc kd ke4. ka {b kc kd ke 14. ka {b kc kd ke5. ka kb kc kd {e 15. ka {b kc kd ke6. ka kb kc kd {e 16. ka kb {c kd ke7. ka kb kc kd {e 17. ka kb kc {d ke8. {a kb kc kd ke 18. ka kb {c kd ke9. {a kb kc kd ke 19. {a kb kc kd ke10. ka {b kc kd ke 20. ka kb {c kd ke

Subtotal : Subtotal :

Total :

HOMI BHABHA CENTRE FOR SCIENCE EDUCATIONTata Institute of Fundamental Research

V. N. Purav Marg, Mankhurd, Mumbai, 400 088

Page 3: Inpho 2009 Model Solutions

HB

CSE

Answer sheet INPhO -2009

Name: Roll No.P09

PART - C

Equivalent solutions may exist.

1.P

P0

+V

V0

= 1 ( valid for V < V0, P < P0)

2.

T =P0V

R

(

1−V

V0

)

3.dV

dT=

R V0

P0 (V0 − 2V )

4.

Tmax =P0V0

4R

5.

T

Tmax

V0 V0/2

V0

6.

CV =R

γ − 1

HOMI BHABHA CENTRE FOR SCIENCE EDUCATIONTata Institute of Fundamental Research

V. N. Purav Marg, Mankhurd, Mumbai, 400 088

Page 4: Inpho 2009 Model Solutions

HB

CSE

Answer sheet INPhO -2009

Name: Roll No.P09

7.

C =R

γ − 1+

(V0 − V )R

(V0 − 2V )

8.

γ =3

2

9.

C = R

(

3−5V

V0

)

(

1−2V

V0

)

10.

34

5

0.2 0.4 0.6 0.8 1

2

1

0 V/V0

/RC

HOMI BHABHA CENTRE FOR SCIENCE EDUCATIONTata Institute of Fundamental Research

V. N. Purav Marg, Mankhurd, Mumbai, 400 088