12th Class Physics Electrostatics & Capacitance Question Bank

done MCQs - Electrostatic Potential and Capacitance Total Questions - 16

• question_answer1)

  The electrostatic potential on the surface of a charged conducting sphere is 100 V.

  Two statements are made in this regard :

  \[{{S}_{1}}\]: At any point inside the sphere, electric intensity is zero.

  \[{{S}_{2}}\]: At any point inside the sphere, the electrostatic potential is 100 V

  Which of the following is a correct statement?

  A)
  \[{{S}_{1}}\] is true, but \[{{S}_{2}}\] is false. done clear
  B)
  Both \[{{S}_{1}}\] and \[{{S}_{2}}\] are false. done clear
  C)
  \[{{S}_{1}}\] is true, \[{{S}_{2}}\] is also true and \[{{S}_{1}}\] is the cause of \[{{S}_{2}}\]. done clear
  D)
  \[{{S}_{1}}\] is true, \[{{S}_{2}}\] is also true but the statements are independent. done clear
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• question_answer2)
  Equipotential at a great distance from a collection of charges whose total sum is not zero are approximately
  A)
  spheres. done clear
  B)
  planes done clear
  C)
  paraboloids. done clear
  D)
  ellipsoids. done clear
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• question_answer3)
  A positively charged particle is released from rest in an uniform electric field. The electric potential energy of the charge
  A)
  remains a constant because the electric field is uniform. done clear
  B)
  increases because the charge moves along the electric field. done clear
  C)
  decreases because the charge moves along the electric field. done clear
  D)
  decreases because the charge moves opposite to the electric field. done clear
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• question_answer4)
     

  Figure shows some equipotential lines distributed in space. A charged object is moved from point A to point B.

  A)
  The Work done in Figure (i) is the greatest. done clear
  B)
  The work done in Figure (ii) is least. done clear
  C)
  The work done is the same in Figure (i). Figure (ii) and Figure (iii). done clear
  D)
  The work done in Figure (iii) is greater than Figure (ii), but equal to that in Figure (i). done clear
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• question_answer5)
  The work done to move a charge along an equipotential surface from A to B
  A)
  cannot be defined.                      done clear
  B)
  is a negative quantity. done clear
  C)
  is zero. done clear
  D)
  is a positive quantity. done clear
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• question_answer6)
  The shape of equipotential surfaces due to an isolated charge is
  A)
  Concentric spherical shells and the distance between the shells increases with the decrease in electric field done clear
  B)
  Concentric spherical shells and the distance between the shells decreases with the decrease in electric field done clear
  C)
  Equi-spaced concentric spherical shells done clear
  D)
  Changes with the polarity of the charge. done clear
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• question_answer7)
  Electric potential inside a conducting sphere
  A)
  is zero done clear
  B)
  remains constant done clear
  C)
  decreases from centre to surface. done clear
  D)
  increases from centre to surface. done clear
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• question_answer8)
  The electric potential at a point on the equatorial line of a electric dipole is
  A)
  directly proportional to the square of the distance. done clear
  B)
  indirectly proportional to the square of the distance. done clear
  C)
  directly proportional to the charge. done clear
  D)
  None of the above done clear
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• question_answer9)

  A capacitor of 4 \[\mu \]F is connected as shown in the circuit Figure. The internal resistance of the battery is 0.5 \[\Omega \].The amount of charge on the capacitor plates will be:               [NCERT Exemp. Q. 2.1, Page 10]

  A)
  0\[\mu \operatorname{C}\] done clear
  B)
  4\[\mu \operatorname{C}\] done clear
  C)
  16\[\mu \operatorname{C}\] done clear
  D)
  8\[\mu \operatorname{C}\] done clear
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• question_answer10)

  A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness \[{{d}_{1}}\] and dielectric constant \[{{k}_{1}}\] and the other has thickness \[{{d}_{2}}\] and dielectric constant \[{{k}_{2}}\]as shown in Figure. This arrangement can be thought as a dielectric slab of thickness d (=\[{{d}_{1}}\]+\[{{d}_{2}}\]) and effective dielectric constant k. The k is:

   
  A)
  \[\frac{{{k}_{1}}{{d}_{1}}+{{k}_{2}}{{d}_{2}}}{{{d}_{1}}+{{d}_{2}}}\] done clear
  B)
  \[\frac{{{k}_{1}}{{d}_{1}}+{{k}_{2}}{{d}_{2}}}{{{k}_{1}}+{{k}_{2}}}\] done clear
  C)
  \[\frac{{{k}_{1}}{{k}_{2}}({{d}_{1}}+{{d}_{2}})}{({{k}_{1}}{{d}_{1}}+{{k}_{2}}{{d}_{2}})}\] done clear
  D)
  \[\frac{2{{k}_{1}}2{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\] done clear
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• question_answer11)

  In the circuit shown in Figure, initially key \[{{k}_{1}}\] is closed and key \[{{k}_{2}}\] is open. Then \[{{k}_{1}}\] is opened and \[{{k}_{2}}\] is closed. Then

   
  A)
  Voltage across \[{{\operatorname{C}}_{1}}\] = Voltage across \[{{\operatorname{C}}_{2}}\] done clear
  B)
  Voltage across \[{{\operatorname{C}}_{1}}\]> Voltage across \[{{\operatorname{C}}_{2}}\] , if \[{{\operatorname{C}}_{1}}>{{\operatorname{C}}_{2}}\] done clear
  C)
  Charge on \[{{\operatorname{C}}_{1}}\] = charge on \[{{\operatorname{C}}_{2}}\] done clear
  D)
  None of the above done clear
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• question_answer12)
  Capacitance of a parallel plate capacitor can be increased by
  A)
  increasing the distance between the plates. done clear
  B)
  decreasing the distance between the plates. done clear
  C)
  decreasing the area of plates. done clear
  D)
  increasing the thickness of the plates. done clear
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• question_answer13)
  A parallel plate capacitor is charged by connecting it to a battery. Which of the following will remain constant if the distance between the plates of the capacitor is increased in this situation?
  A)
  Energy stored done clear
  B)
  Electric field done clear
  C)
  Potential difference                             done clear
  D)
  Capacitance done clear
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• question_answer14)

  4 capacitors, each of 2\[\mu \operatorname{F}\],are connected as shown.

  What will be the equivalent capacitor across the points A, B ?

  A)
  0.5\[\mu \operatorname{F}\] done clear
  B)
  2 \[\mu \operatorname{F}\] done clear
  C)
  8\[\mu \operatorname{F}\] done clear
  D)
  4\[\mu \operatorname{F}\] done clear
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• question_answer15)
  The capacitance of a parallel plate capacitor is 10 \[\mu \operatorname{F}\]. When a dielectric plate is introduced in between the plates, its potential becomes 1/4th of its original value. What is the value of the dielectric constant of the plate introduced?
  A)
  4 done clear
  B)
  40 done clear
  C)
  2.5 done clear
  D)
  none of the above done clear
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• question_answer16)
  Two spheres are separately charged and then brought in contact, so
  A)
  total charge on the two spheres is conserved. done clear
  B)
  total energy of the two spheres is conserved. done clear
  C)
  Both [a] and [b] done clear
  D)
  None of the above done clear
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