Electric Charges and Fields Questions and Answers Part-14

1. Equal charges are given to two spheres of different radii. The potential will
a) Be more on the smaller sphere
b) Be more on the bigger sphere
c) Be equal on both the spheres
d) Depend on the nature of the materials of the spheres

Answer: a
Explanation:
q131

2. An alpha particle is accelerated through a potential difference of 106 volt. Its kinetic energy will be
a) 1 MeV
b) 2 MeV
c) 4 MeV
d) 8 MeV

Answer: b
Explanation:
q132

3.A charge of 5 C is given a displacement of 0.5 m. The work done in the process is 10 J . The potential difference between the two points will be
a) 2 V
b) 0.25 V
c) 1 V
d) 25 V

Answer: a
Explanation:
q133

4.The electric potential V is given as a function of distance x (metre) by \[V=\left(5x^{2}+10x-9\right)volt\]       . Value of electric field at \[x=1\]   is
a) 20 V/m
b) 6 V/m
c) 11 V/m
d) -23 V/m

Answer: a
Explanation:
q134

5. Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass \[1.96\times10^{-15}kg\]    is suspended in equilibrium between the plates. If e is the elementary charge, then charge on the particle is
a) e
b) 3e
c) 6e
d) 8e

Answer: b
Explanation:
q135

6. Two spheres of radius a and b respectively are charged and joined by a wire. The ratio of electric field of the spheres is
a) a/b
b) b/a
c) \[a^{2}/b^{2}\]
d) \[b^{2}/a^{2}\]

Answer: b
Explanation:
q136

7. A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y is
a) \[qEy^{2}\]
b) \[qE^{2}y\]
c) qEy
d) \[q^{2}Ey\]

Answer: c
Explanation: Kinetic energy = Force  Displacement = qEy

8. A hollow insulated conducting sphere is given a positive charge of \[10\mu C\]   . What will be the electric field at the centre of the sphere if its radius is 2 meters
a) Zero
b) 5 \[\mu Cm^{-2}\]
c) 20 \[\mu Cm^{-2}\]
d) 8 \[\mu Cm^{-2}\]

Answer: a
Explanation: The intensity of electric field inside a hollow conducting sphere is zero.

9.A cube of side b has a charge q at each of its vertices. The electric field due to this charge distribution at the centre of this cube will be
a) \[q / b^{2}\]
b) \[q / 2b^{2}\]
c) \[32q / b^{2}\]
d) Zero

Answer: d
Explanation: Due to symmetric charge distribution

10. A charged water drop whose radius is 0.1 \[\mu m\]  is in equilibrium in an electric field. If charge on it is equal to charge of an electron, then intensity of electric field will be (g=10 m \[s^{-1})\]
a) 1.61 N /C
b) 26.2 N /C
c) 262 N /C
d) 1610 N /C

Answer: c
Explanation:
q140