BITSAT Physics Electrostatic Potential and Capacitance MCQs

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MCQ for Full Syllabus Physics Electrostatic Potential and Capacitance

Full Syllabus Physics students should refer to the following multiple-choice questions with answers for Electrostatic Potential and Capacitance in Full Syllabus.

Electrostatic Potential and Capacitance MCQ Questions Full Syllabus Physics with Answers

 

Question: What is equivalent capacitance of circuit between points A and B?

BITSAT Physics Electrostatic Potential and Capacitance 1

  • a)

    BITSAT Physics Electrostatic Potential and Capacitance 2

  • b)

    BITSAT Physics Electrostatic Potential and Capacitance 3

  • c) Infinite
  • d) 1 + √3) μF

Answer:

BITSAT Physics Electrostatic Potential and Capacitance 3

 

Question: A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. Then

  • a) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
  • b) A potential difference appears between two cylinders when a charge density is given to the outer cylinder
  • c) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders
  • d) No potential difference appears between the two cylinders when same charge density is given to both the cylinders

Answer: A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.


Question: Two conducting shells of radius a and b are connected by conducting wire as shown in figure. The capacity of system is :

BITSAT Physics Electrostatic Potential and Capacitance 4

  • a)

    BITSAT Physics Electrostatic Potential and Capacitance 5

  • b) 4 πε0 (a + b)
  • c) zero
  • d) Infinite

Answer: Infinite

 

Question: A parallel plate capacitor of area ‘A’ plate separation ‘d’ is filled with two dielectrics as shown. What is the capacitance of the arrangement ?

BITSAT Physics Electrostatic Potential and Capacitance 6

  • a)

    BITSAT Physics Electrostatic Potential and Capacitance 7

  • b)

    BITSAT Physics Electrostatic Potential and Capacitance 8

  • c)

    BITSAT Physics Electrostatic Potential and Capacitance 9

  • d)

    BITSAT Physics Electrostatic Potential and Capacitance 10

Answer:

BITSAT Physics Electrostatic Potential and Capacitance 10

 

Question: In the figure below, what is the potential difference between the point A and B and between B and C respectively in steady state

BITSAT Physics Electrostatic Potential and Capacitance 11

  • a) VAB  = VBC = 100V
  • b) VAB = 75V, VBC = 25V
  • c) VAB = 25V, VBC = 75V
  • d) VAB = VBC = 50V

Answer: VAB = 25V, VBC = 75V

 

Question: A parallel plate capacitor of capacitance C is connected to a battery and is charged to a potential difference V. Another capacitor of capacitance 2C is similarly charge to a potential difference 2V. The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

  • a) Zero
  • b) 

    BITSAT Physics Electrostatic Potential and Capacitance 12

  • c)

    BITSAT Physics Electrostatic Potential and Capacitance 13

  • d)

    BITSAT Physics Electrostatic Potential and Capacitance 14

Answer:

BITSAT Physics Electrostatic Potential and Capacitance 12

 

Question: Four point charges –Q, –q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is

  • a) Q = – q
  • b)

    BITSAT Physics Electrostatic Potential and Capacitance 15

  • c) Q = q
  • d)

    BITSAT Physics Electrostatic Potential and Capacitance 16

Answer: Q = – q

 

Question: Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then

  • a) 5C1 = 3C2 
  • b) 3C1 = 5C2
  • c)  3C1 + 5C2 = 0
  • d) 9C1 = 4C2

Answer: 3C1 = 5C2

 

Question: A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of the sphere is

  • a) zero
  • b) 10 V
  • c) 4 V
  • d) 10/3 V

Answer: 10 V


Question: Two identical capacitors, have the same capacitance C. One of them is charged to potential V1 and the other to V2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is –

  • a)

    BITSAT Physics Electrostatic Potential and Capacitance 17

  • b)

    BITSAT Physics Electrostatic Potential and Capacitance 18

  • c)

    BITSAT Physics Electrostatic Potential and Capacitance 19

  • d)

    BITSAT Physics Electrostatic Potential and Capacitance 20

Answer:

BITSAT Physics Electrostatic Potential and Capacitance 17

  

Question: If the potential of a capacitor having capacity 6 μF is increased from 10 V to 20 V, then increase in its energy will be

  • a) 4 × 10–4 J
  • b) 4 × 10–4 J
  • c) 9 × 10–4 J
  • d) 12 × 10–6 J

Answer: 9 × 10–4 J

 

Question: In a region, the potential is represented by V(x, y, z) = 6x – 8xy – 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is :

  • a) 6 √5 N
  • b) 30 N
  • c) 24 N
  • d) 4 √35 N

Answer: 4 √35 N

 

Question: If on combining two charged bodies, the current does not flow then

  • a) Charge is equal on both
  • b) Capacitance is equal on both
  • c) Potential is equal on both
  • d) Resistance is equal on both

Answer: Potential is equal on both

 

Question: Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum

  • a) 18 × 108 m2 
  • b) 0.3 × 108 m2
  • c) 1.3 × 108 m2
  • d) 1.13 × 108 m2

Answer: 1.13 × 108 m2

 

Question: A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitors is

  • a) 3 U/2
  • b) U
  • c) U/4
  • d) U/2

Answer: U/4

 

Question: A parallel plate capacitor is charged and then isolated. What is the effect of increasing the plate separation on charge, potential, capacitance, respectively?

  • a) Constant, decreases, decreases
  • b) Increases, decreases, decreases
  • c) Constant, decreases, increases
  • d) Constant, increases, decreases

Answer: Constant, increases, decreases

 

Question: Figure shows a solid hemisphere with a charge of 5nC distributed uniformly through its volume. The hemisphere lies on a plane and point P is located on the plane, along a radial line from the centre of curvature at distance 15 cm. The electric potential at point P due to the hemisphere, is

BITSAT Physics Electrostatic Potential and Capacitance 21

  • a) 150V
  • b) 300V
  • c) 450V
  • d) 600V

Answer: 300V


Question: Two parallel metal plates having charges + Q and –Q face each other ata certain distance between them. If the plaves are now dipped in kerosene oil tank, the electric field between the plates will

  • a) Remain same
  • b) Become zero
  • c) Increases
  • d) Decrease

Answer: Decrease


Question: Two capacitors C1 and C2 = 2C1 are connected in a circuit with a switch between them as shown in the figure. Initially the switch is open and C1 holds charge Q. The switch is closed. At steady state, the charge on each capacitor will be 

BITSAT Physics Electrostatic Potential and Capacitance 25

  • a) Q, 2Q
  • b)

    BITSAT Physics Electrostatic Potential and Capacitance 22

  • c)

    BITSAT Physics Electrostatic Potential and Capacitance 23

  • d)

    BITSAT Physics Electrostatic Potential and Capacitance 24

Answer:

BITSAT Physics Electrostatic Potential and Capacitance 22

 

Question: A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of the sphere is

  • a) Zero
  • b) 10 V
  • c) 4 V
  • d) 10/3 V

Answer: 10 V

MCQs for Electrostatic Potential and Capacitance Physics Full Syllabus

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