JEE Questions for Physics Electrostatics Ii Quiz 2 - MCQExams.com

C, V, U and Q are capacitance, potential difference, energy stored and charge of a parallel plate capacitor, respectively. The quantities that increase when a dielectric slab is introduced between the plates without disconnecting the battery are
  • V and C
  • V and U
  • U and Q
  • V and Q
  • U but not Q
A 5.0 µF capacitor is charged to a potential difference of 800 V and discharged through a conductor. The energy given to the conductor during the discharge is
  • 1.6 × 10-2 J
  • 3.2 J
  • 1.6 J
  • 4.2 J
An air capacitor is charged with an amount of charge q and dipped into an oil tank. If the oil is pumped out, the electric field between the plates of capacitor will
  • increase
  • decrease
  • remain the same
  • becomes zero
A parallel plate capacitor is charged. If the plates are pulled apart
  • the capacitance increases
  • the potential difference increases
  • the total charge increases
  • the charge and potential difference remains the same
A cylindrical capacitor has charge Q and length L . If both the charge and length of the capacitors are doubled, by keeping other parameters fixed, the energy stored in the capacitor
  • remains same
  • increases two times
  • decreases two times
  • increases four times
The energy required to charge a parallel plate condenser of plate separation d and plate area of cross–section A such that the uniform electric field between the plates is E, is

  • Physics-Electrostatics II-73060.png
  • 2)
    Physics-Electrostatics II-73061.png

  • Physics-Electrostatics II-73062.png

  • Physics-Electrostatics II-73063.png
A capacitor of capacitance value 1 µF is charged to 30 V and the battery is then disconnected. If the remaining circuit is connected across a 2µF capacitor. the energy lost by the system is
  • 300 µJ
  • 450 µJ
  • 225 µJ
  • 150 µJ
  • 100 µJ
64 identical spheres of charge q and capacitance C each are combined to form a large sphere. The charge and capacitance of the large sphere are
  • 64 q ,C
  • 16 q , 4 C
  • 64 q , 4 C
  • 16 q , 64 C
A 20 µF capacitor is connected to 45 V battery through a circuit whose resistance is 2000 Ω . What is the final charge on the capacitor?
  • 9 × 10-4 C
  • 9.154 × 10-4 C
  • 9.8 × 10-4 C
  • None of the above
A capacitor of capacitance 10 µF charged to 100V is connected to an uncharged capacitor. The effective potential is 40 V. The capacitance of uncharged capacitor is
  • 12 µF
  • 15 µF
  • 25 µF
  • 30 µF
The capacitance C of a capacitor is
  • independent of the charge and potential of the capacitor
  • dependent on the charge and independent of potential
  • independent of the geometrical configuration of the capacitor
  • independent of the dielectric medium between the two conducting surfaces of the capacitor
Two parallel large thin metal sheets have equal surface charge densities (σ = 26.4 × 10-12 Cm-2) of opposite signs. The electric field between these sheets is
  • 1.5 NC -1
  • 1.5 ×10 -10 NC -1
  • 3 NC -1
  • 3 × 10 -10 NC -1
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
  • 1 : 1
  • 2 : 1
  • 1 : 4
  • 1 : 2
Capacitance of a capacitor made by a thin metal foil is 2µF. If the foil is folded with paper of thickness 0.15 mm, dielectric constant of paper is 2.5 and width of paper is 400 mm, the length of foil will be
  • 0.34 m
  • 1.33 m
  • 13.4 m
  • 33.9 m
A parallel plate capacitor of capacitance 100 pF is to be constructed by using paper sheets of 1 mm thickness as dielectric. If the dielectric constant of paper is 4, the number of circular metal foils of diameter 2 cm each required for the purpose is
  • 40
  • 20
  • 30
  • 10
A parallel plate condenser with oil (dielectric constantbetween the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes

  • Physics-Electrostatics II-73073.png
  • 2)
    Physics-Electrostatics II-73074.png

  • Physics-Electrostatics II-73075.png

  • Physics-Electrostatics II-73076.png
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
  • decreases
  • remains unchanged
  • becomes infinite
  • increases
Two identical capacitors each of capacitance 5 µF are charged to potentials 2 kV and 1 kV respectively. Their negative ends are connected together. When the positive ends are also connected together, the loss of energy of the system is
  • 160 J
  • zero
  • 5 J
  • 1.25 J
A dielectric of dielectric constant K is introduced such that half of its area of a capacitor of capacitance C is occupied by it. The new capacity is
  • 2C
  • 2)
    Physics-Electrostatics II-73080.png

  • Physics-Electrostatics II-73081.png
  • 2C (1+K)
An automobile spring extends 0.2 m for 5000 N load. The ratio of potential energy stored in this spring when it has been compressed by 0.2 m to the potential energy stored in a 10µF capacitor at a potential difference of 10000 V will be
  • 1/4
  • 1
  • 1/2
  • 2
In a capacitor of capacitance 20 µF , the distance between the plates is 2 mm. If a dielectric slab of width 1 mm and dielectric constant 2 is inserted between the plates, then the new capacitance will be
  • 22 µF
  • 26.6 µF
  • 52.2 µF
  • 13 µF
Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2 - V1 = 20 V. (i.e. plate 2 is at a higher potential). The plates are separated by d = 0.1 m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2 ? (e= 1.6 x 10-19 C, m0 = 9.11 × 10-31 kg)
Physics-Electrostatics II-73085.png
  • 2.65 × 106 ms-1
  • 7.02 × 1012 ms-1
  • 1.87 × 106 ms-1
  • 32 × 10-19 ms-1
If the plates of a parallel plate capacitor are not equal in area, then quantity of charge
  • on the plates will be same but nature of charge will differ
  • on the plates as well as nature of charge will be different
  • on the plates will be different but nature of charge will be same
  • as well as nature of charge will be same
Two identical air core capacitors are connected in series to a voltage source of 15 V. If one of the capacitors is filled with a medium of dielectric constant 4, the new potential across this capacitor is
  • 5 V
  • 8 V
  • 10 V
  • 12 V
  • 3 V
In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at
Physics-Electrostatics II-73088.png
  • r < r1
  • r1 < r2
  • r < r2
  • r1 < r < r2
In the capacitor shown in the circuit is charged to 5 V and left in the circuit, in 12s the charge on the capacitor will become
(e = 2.
Physics-Electrostatics II-73089.png

  • Physics-Electrostatics II-73090.png
  • 2)
    Physics-Electrostatics II-73091.png

  • Physics-Electrostatics II-73092.png

  • Physics-Electrostatics II-73093.png
An air filled parallel plate capacitor has a capacity of 2pF. The separation of the plates is doubled and the interspace between the plates is filled with wax. If the capacity is increased to 6 pF, the dielectric constant of wax is
  • 2
  • 3
  • 4
  • 6
Three capacitor X =1µF, Y = 2µF and Z = 3µF are connected as shown in figure, then the equivalent capacitance between point A and B is
Physics-Electrostatics II-73096.png
  • 6 µF
  • 12 µF
  • 3 µF
  • None of these
Three capacitors 3µF, 6 µF and 6 µF are connected in series to a source of 120 V. The potential difference, in volt, across the 3µF capacitor will be
  • 24
  • 30
  • 40
  • 60
A 400 pF capacitor is charged by a 100 V supply. How much electrostatic energy is lost in the process of disconnecting from the supply and connecting another uncharged 400 pF capacitor?
  • 10 -5 J
  • 10 -6 J
  • 10 -7 J
  • 10 -4 J
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