33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020
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33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020

All previous year questions , and these are downloaded from the sources in the internet. I don't own these resources and these are copyrighted by MTG. All previous year questions , and these are downloaded from the sources in the internet. I don't own these resources and these are copyrighted by MTG.

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Telegram @unacademyplusdiscounts10 NEET-AIPMT Chapterwise Topicwise Solutions Physics2.13 Effect of Dielectric on Capacitance36. The capacitance of a parallel plate capacitor with air asmedium is 6 mF. With the introduction of a dielectricmedium, the capacitance becomes 30 mF. The permittivityof the medium is (e 0 = 8.85 × 10 –12 C 2 N –1 m –2 )(a) 0.44 × 10 –13 C 2 N –1 m –2(b) 1.77 × 10 –12 C 2 N –1 m –2(c) 0.44 × 10 –10 C 2 N –1 m –2(d) 5.00 C 2 N –1 m –2 (NEET 2020)37. Two thin dielectric slabs of dielectric constants K 1 andK 2 (K 1 < K 2 ) are inserted between plates of a parallelplate capacitor, as shown in the figure. The variationof electric field E between the plates with distance d asmeasured from plate P is correctly shown by(a)(b)(c)(d) (2014)38. Two parallel metal plates having charges +Q and –Qface each other at a certain distance between them.If the plates are now dipped in kerosene oil tank, theelectric field between the plates will(a) become zero (b) increase(c) decrease (d) remain same (Mains 2010)39. A parallel plate condenser with oil between the plates(dielectric constant of oil K = 2) has a capacitanceC. If the oil is removed, then capacitance of thecapacitor becomesCC(a) (b) 2C (c) 2C (d) (1999)222.14 Combination of Capacitors40. A parallel-plate capacitor of area A, plate separationd and capacitance C is filled with four dielectricmaterials having dielectric constants k 1 , k 2 , k 3 and k 4as shown in the figure. If a single dielectric materialis to be used to have the same capacitance C in thiscapacitor, then its dielectric constant k is given by(a) k = k 1 + k 2 + k 3 + 3k 4(b) k = 2 3 (k 1 + k 2 + k 3 ) + 2k 4(c)2 3 1= +k k1+ k2 + k3 k4(d) 1 = 1 + 1 + 1 + 3 (NEET -II 2016)k k1 k2 k3 2k441. Three capacitors each of capacitance C andof breakdown voltage V are joined in series.The capacitance and breakdown voltage of thecombination will be(a) 3C, V(b) C V33 , 3(c) 3C, 3V(d) C , V(2009)3 342. A network of four capacitors of capacity equal toC 1 = C, C 2 = 2C, C 3 = 3C and C 4 = 4C are connected toa battery as shown in the figure. The ratio of thecharges on C 2 and C 4 is(a) 4/7(b) 3/22(c) 7/4(d) 22/3(2005)43. Three capacitors each of capacity 4 mF are to beconnected in such a way that the effective capacitanceis 6 mF. This can be done by(a) connecting all of them in series(b) connecting them in parallel(c) connecting two in series and one in parallel(d) connecting two in parallel and one in series.(2003)44. A capacitor of capacity C 1 is charged upto V volt andthen connected in parallel to an uncharged capacitorof capacity C 2 . The final potential difference acrosseach will beCV(a)2CV(b)1C + CC + C1 2⎛ C2⎞+⎝⎜ C1⎠⎟1 2⎛ C2⎞−⎝⎜1 ⎠⎟(c) 1(d) 1C V (2002)45. What is the effective capacitance between points Xand Y ?(a) 12 mF (b) 18 mF (c) 24 mF (d) 6 mF (1999)

Telegram @unacademyplusdiscountsElectrostatic Potential and Capacitance112.15 Energy Stored in a Capacitor46. Two identical capacitors C 1 and C 2 of equalcapacitance are connected as shown in the circuit.Terminals a and b of the key k are connected tocharge capacitor C 1 using battery of emf V volt. Nowdisconnecting a and b, the terminals b and c areconnected. Due to this, what will be the percentageloss of energy ?(a) 75%(b) 0%CC(c) 50%(d) 25%(Odisha NEET 2019)47. A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system(a) decreases by a factor of 2(b) remains the same(c) increases by a factor of 2(d) increases by a factor of 4. (NEET 2017)48. A parallel plate air capacitor of capacitance C isconnected to a cell of emf V and then disconnectedfrom it. A dielectric slab of dielectric constant K,which can just fill the air gap of the capacitor, is nowinserted in it. Which of the following is incorrect?2 ⎛ 1 ⎞CV ⎜ 1⎟ .(a) The change in energy stored is 1 −2 ⎝ K ⎠(b) The charge on the capacitor is not conserved.(c) The potential difference between the platesdecreases K times.(d) The energy stored in the capacitor decreases Ktimes.(2015 Cancelled)49. A parallel plate capacitor has a uniform electric fieldE in the space between the plates. If the distancebetween the plates is d and area of each plate is A,the energy stored in the capacitor is(a)(c)1ε2 0 E21ε2 0 EAd22(b) EAdε 0(d) e 0 EAd(Mains 2012, 2011, 2008)50. A series combination of n 1 capacitors, each of valueC 1 , is charged by a source of potential difference 4V.When another parallel combination of n 2 capacitors,each of value C 2 , is charged by a source of potentialdifference V, it has the same (total) energy stored init, as the first combination has. The value of C 2 , interms of C 1 , is then2C(a) 1n(b) 16 2 1nn 1 2n C1n(c) 2 2 1n C16C(d) 1(2010)1nn 1 251. Two condensers, one of capacity C and other ofcapacity C/2 are connected to a V-volt battery, asshown in the figure. The work done in charging fullyboth the condensers is1(a) 2CV4(b) 3 2CV4(c) 1 2CV2(d) 2CV 2 (2007)52. Energy per unit volume for a capacitor having areaA and separation d kept at potential difference V isgiven by21(a) ε V 21 V2 0 (b)2d2ε2 0 d(c)1 22CV (d) Q 2 C2(2001)53. A capacitor is charged with a battery and energystored is U. After disconnecting battery anothercapacitor of same capacity is connected in parallelto the first capacitor. Then energy stored in eachcapacitor is(a) U/2 (b) U/4 (c) 4U (d) 2U (2000)54. The energy stored in a capacitor of capacity Cand potential V is given by(a) CV (b) CV 2 2(c) CV 2 CV(d)2(1996)2 2 2 2ANSWER KEY1. (a) 2. (b) 3. (c) 4. (a) 5. (b) 6. (d) 7. (b) 8. (a) 9. (c) 10. (d)11. (a) 12. (a) 13. (d) 14. (d) 15. (d) 16. (a) 17. (d) 18. (c) 19. (d) 20. (c)21. (c) 22. (c) 23. (b) 24. (b) 25. (a) 26. (a) 27. (c) 28. (b) 29. (b) 30. (c)31. (b) 32. (d) 33. (a) 34. (d) 35. (a) 36. (c) 37. (c) 38. (c) 39. (d) 40. (c)41. (b) 42. (b) 43. (c) 44. (b) 45. (d) 46. (c) 47. (a) 48. (b) 49. (c) 50. (d)51. (b) 52. (a) 53. (b) 54. (d)

Telegram @unacademyplusdiscounts

Electrostatic Potential and Capacitance

11

2.15 Energy Stored in a Capacitor

46. Two identical capacitors C 1 and C 2 of equal

capacitance are connected as shown in the circuit.

Terminals a and b of the key k are connected to

charge capacitor C 1 using battery of emf V volt. Now

disconnecting a and b, the terminals b and c are

connected. Due to this, what will be the percentage

loss of energy ?

(a) 75%

(b) 0%

C

C

(c) 50%

(d) 25%

(Odisha NEET 2019)

47. A capacitor is charged by a battery. The battery is

removed and another identical uncharged capacitor

is connected in parallel. The total electrostatic

energy of resulting system

(a) decreases by a factor of 2

(b) remains the same

(c) increases by a factor of 2

(d) increases by a factor of 4. (NEET 2017)

48. A parallel plate air capacitor of capacitance C is

connected to a cell of emf V and then disconnected

from it. A dielectric slab of dielectric constant K,

which can just fill the air gap of the capacitor, is now

inserted in it. Which of the following is incorrect?

2 ⎛ 1 ⎞

CV ⎜ 1⎟ .

(a) The change in energy stored is 1 −

2 ⎝ K ⎠

(b) The charge on the capacitor is not conserved.

(c) The potential difference between the plates

decreases K times.

(d) The energy stored in the capacitor decreases K

times.

(2015 Cancelled)

49. A parallel plate capacitor has a uniform electric field

E in the space between the plates. If the distance

between the plates is d and area of each plate is A,

the energy stored in the capacitor is

(a)

(c)

1

ε

2 0 E

2

1

ε

2 0 EAd

2

2

(b) EAd

ε 0

(d) e 0 EAd

(Mains 2012, 2011, 2008)

50. A series combination of n 1 capacitors, each of value

C 1 , is charged by a source of potential difference 4V.

When another parallel combination of n 2 capacitors,

each of value C 2 , is charged by a source of potential

difference V, it has the same (total) energy stored in

it, as the first combination has. The value of C 2 , in

terms of C 1 , is then

2C

(a) 1

n

(b) 16 2 1

nn 1 2

n C

1

n

(c) 2 2 1

n C

16C

(d) 1

(2010)

1

nn 1 2

51. Two condensers, one of capacity C and other of

capacity C/2 are connected to a V-volt battery, as

shown in the figure. The work done in charging fully

both the condensers is

1

(a) 2

CV

4

(b) 3 2

CV

4

(c) 1 2

CV

2

(d) 2CV 2 (2007)

52. Energy per unit volume for a capacitor having area

A and separation d kept at potential difference V is

given by

2

1

(a) ε V 2

1 V

2 0 (b)

2

d

2ε

2 0 d

(c)

1 2

2

CV (d) Q 2 C

2

(2001)

53. A capacitor is charged with a battery and energy

stored is U. After disconnecting battery another

capacitor of same capacity is connected in parallel

to the first capacitor. Then energy stored in each

capacitor is

(a) U/2 (b) U/4 (c) 4U (d) 2U (2000)

54. The energy stored in a capacitor of capacity C

and potential V is given by

(a) CV (b) CV 2 2

(c) CV 2 CV

(d)

2

(1996)

2 2 2 2

ANSWER KEY

1. (a) 2. (b) 3. (c) 4. (a) 5. (b) 6. (d) 7. (b) 8. (a) 9. (c) 10. (d)

11. (a) 12. (a) 13. (d) 14. (d) 15. (d) 16. (a) 17. (d) 18. (c) 19. (d) 20. (c)

21. (c) 22. (c) 23. (b) 24. (b) 25. (a) 26. (a) 27. (c) 28. (b) 29. (b) 30. (c)

31. (b) 32. (d) 33. (a) 34. (d) 35. (a) 36. (c) 37. (c) 38. (c) 39. (d) 40. (c)

41. (b) 42. (b) 43. (c) 44. (b) 45. (d) 46. (c) 47. (a) 48. (b) 49. (c) 50. (d)

51. (b) 52. (a) 53. (b) 54. (d)

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