Electrostatic Potential and Capacitance Questions and Answers Part-3

1. 1000 small water drops each of radius r and charge q coalesce together to form one spherical drop. The potential of the big drop is larger than that of the smaller drop by a factor of
a) 1000
b) 100
c) 10
d) 1

Answer: b
Explanation:
q21

2. A parallel plate condenser is immersed in an oil of dielectric constant 2. The field between the plates is
a) Increased proportional to 2
b) Decreased proportional to \[\frac{1}{2}\]
c) Increased proportional to \[\sqrt{2}\]
d) Decreased proportional to \[\frac{1}{\sqrt{2}}\]

Answer: b
Explanation:
q22

3.The capacitance of a spherical condenser is \[1\mu F\] . If the spacing between the two spheres is 1 mm, then the radius of the outer sphere is
a) 30 cm
b) 6 cm
c) 5 cm
d) 3 cm

Answer: d
Explanation:
q23

4. If the dielectric constant and dielectric strength be denoted by k and x respectively, then a material suitable for use as a dielectric in a capacitor must have
a) High k and high x
b) High k and low x
c) Low k and low x
d) Low k and high x

Answer: a
Explanation: High K means good insulating property and high x means able to withstand electric field gradient to a higher value.

5. When air in a capacitor is replaced by a medium of dielectric constant K, the capacity
a) Decreases K times
b) Increases K times
c) Increases \[K^{2}\] times
d) Remains constant

Answer: b
Explanation:
q25

6. 64 drops each having the capacity C and potential V are combined to form a big drop. If the charge on the small drop is q , then the charge on the big drop will be
a) 2 q
b) 4 q
c) 16 q
d) 64 q

Answer: d
Explanation:
q26

7. The capacity of a parallel plate capacitor increases with the
a) Decrease of its area
b) Increase of its distance
c) Increase of its area
d) None of the above

Answer: c
Explanation:
q27

8. The radius of two metallic spheres A and B are r1 and r2 respectively \[\left(r_{1}> r_{2}\right)\]  . They are connected by a thin wire and the system is given a certain charge. The charge will be greater
a) On the surface of the sphere B
b) On the surface of the sphere A
c) Equal on both
d) Zero on both

Answer: b
Explanation:
q28

9. The capacity of a spherical conductor in MKS system is
a) \[\frac{R}{4\pi\epsilon_{0}}\]
b) \[\frac{4\pi\epsilon_{0}}{R}\]
c) \[4\pi\epsilon_{0} R\]
d) \[4\pi\epsilon_{0} R^{2}\]

Answer: c
Explanation: \[4\pi\epsilon_{0} R\]

10. Can a metal be used as a medium for dielectric
a) Yes
b) No
c) Depends on its shape
d) Depends on dielectric

Answer: b
Explanation: Because metals are good conductor of electricity