Electrostatic Potential and Capacitance Questions and Answers Part-5

1. The true statement is, on increasing the distance between the plates of a parallel plate condenser
a) The electric intensity between the plates will decrease
b) The electric intensity between the plates will increase
c) The electric intensity between the plates will remain unchanged
d) The P.D. between the plates will decrease

Answer: c
Explanation:
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2. There is an air filled 1pF parallel plate capacitor. When the plate separation is doubled and the space is filled with wax, the capacitance increases to 2pF . The dielectric constant of wax is
a) 2
b) 4
c) 6
d) 8

Answer: b
Explanation:
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3.The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively \[C_{0}\] and \[W_{0}\] . If the air is replaced by glass (dielectric constant = 5) between the plates, the capacity of the plates and the energy stored in it will respectively be
a) \[5 C_{0},5 W_{0}\]
b) \[5 C_{0},\frac{W_{0}}{5} \]
c) \[\frac{C_{0}}{5},5 W_{0} \]
d) \[\frac{C_{0}}{5},\frac{W_{0}}{5} \]

Answer: b
Explanation:
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4. Force of attraction between the plates of a parallel plate capacitor is
a) \[\frac{q^{2}}{2\epsilon_{0}AK}\]
b) \[\frac{q^{2}}{\epsilon_{0}AK}\]
c) \[\frac{q}{2\epsilon_{0}A}\]
d) \[\frac{q^{2}}{2\epsilon_{0}A^{2}K}\]

Answer: a
Explanation:
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5. A capacitor of capacity C is connected with a battery of potential V in parallel. The distance between its plates is reduced to half at once, assuming that the charge remains the same. Then to charge the capacitance upto the potential V again, the energy given by the battery will be
a) \[CV^{2}/4\]
b) \[CV^{2}/2\]
c) \[3CV^{2}/4\]
d) \[CV^{2}\]

Answer: d
Explanation:
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6. N identical spherical drops charged to the same potential V are combined to form a big drop. The potential of the new drop will be
a) V
b) V/N
c) \[V\times N \]
d) \[V\times N^{2/3}\]

Answer: d
Explanation:
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7. One plate of parallel plate capacitor is smaller than other, then charge on smaller plate will be
a) Less than other
b) More than other
c) Equal to other
d) Will depend upon the medium between them

Answer: c
Explanation: Because the charges are produced due to induction and moreover the net charge of the condenser should be zero.

8. A \[6\mu F\]   capacitor is charged from 10 volts to 20 volts. Increase in energy will be
a) \[18\times 10^{-4}J\]
b) \[9\times 10^{-4}J\]
c) \[4.5\times 10^{-4}J\]
d) \[9\times 10^{-6}J\]

Answer: b
Explanation:
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9. As shown in the figure, a very thin sheet of aluminium is placed in between the plates of the condenser. Then the capacity
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a) Will increase
b) Will decrease
c) Remains unchanged
d) May increase or decrease

Answer: c
Explanation: Since aluminum is a metal, therefore field inside this will be zero. Hence it would not
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10. Twenty seven drops of water of the same size are equally and similarly charged. They are then united to form a bigger drop. By what factor will the electrical potential changes
a) 9 times
b) 27 times
c) 6 times
d) 3 times

Answer: a
Explanation:
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