Electric Charges and Fields Questions and Answers Part-18

1. An electron is moving towards x-axis. An electric field is along y-direction then path of electron is
a) Circular
b) Elliptical
c) Parabola
d) None of these

Answer: c
Explanation: When charge enters perpendicularly in electric field, it describe parabolic path.

2. An electron enters in an electric field with its velocity in the direction of the electric lines of force. Then
a) The path of the electron will be a circle
b) The path of the electron will be a parabola
c) The velocity of the electron will decrease
d) The velocity of the electron will increase

Answer: c
Explanation: Because electric field applies the force on electron in the direction opposite to it’s motion.

3.An electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum. The final speed of the electron will be
a) \[V\sqrt{e/m}\]
b) \[\sqrt{eV/m}\]
c) \[\sqrt{2eV/m}\]
d) \[2eV/m\]

Answer: c
Explanation:
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4.The radius of a soap bubble whose potential is 16V is doubled. The new potential of the bubble will be
a) 2V
b) 4V
c) 8V
d) 16 v

Answer: c
Explanation:
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5.The dimension of \[(1/2)\epsilon_{0}E^{2}(\epsilon_{0}\]     : permittivity of free space; E : electric field) is
a) \[MLT^{-1}\]
b) \[ML^{2}T^{-2}\]
c) \[ML^{-1}T^{-2}\]
d) \[ML^{2}T^{-1}\]

Answer: c
Explanation:
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6. In the rectangle, shown below, the two corners have charges \[q_{1}=-5 \mu C\]    and \[q_{2}=+2.0 \mu C\]    . The work done in moving a charge \[+3.0 \mu C\]   from B to A is (take \[1/4\pi\epsilon_{0}=10^{10}N-m^{2}/C^{2})\]
176
a) 2.8 J
b) 3.5 j
c) 4.5 J
d) 5.5 J

Answer: a
Explanation:
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7. A cube of a metal is given a positive charge Q. For the above system, which of the following statements is true
a) Electric potential at the surface of the cube is zero
b) Electric potential within the cube is zero
c) Electric field is normal to the surface of the cube
d) Electric field varies within the cube

Answer: c
Explanation: Electric lines of force are always normal to metallic body.

8. If q is the charge per unit area on the surface of a conductor, then the electric field intensity at a point on the surface is
a) \[\left(\frac{q}{\epsilon_{0}}\right)\]   normal to surface
b) \[\left(\frac{q}{2\epsilon_{0}}\right)\]   normal to surface
c) \[\left(\frac{q}{\epsilon_{0}}\right)\]   tangential to surface
d) \[\left(\frac{q}{2\epsilon_{0}}\right)\]   tangential to surface

Answer: a
Explanation: \[\left(\frac{q}{\epsilon_{0}}\right)\]   normal to surface

9.A hollow conducting sphere of radius R has a charge \[\left(+Q\right)\]  on its surface. What is the electric potential within the sphere at a distance \[r=\frac{R}{3}\]   from its centre
a) Zero
b) \[\frac{1}{4\pi\epsilon_{0}}\frac{Q}{r}\]
c) \[\frac{1}{4\pi\epsilon_{0}}\frac{Q}{R}\]
d) \[\frac{1}{4\pi\epsilon_{0}}\frac{Q}{r^{2}}\]

Answer: c
Explanation: Inside a conducting body, potential is same everywhere and equals to the potential of it’s surface

10. A spherical conductor of radius 2m is charged to a potential of 120 V. It is now placed inside another hollow spherical conductor of radius 6m. Calculate the potential to which the bigger sphere would be raised
a) 20 V
b) 60 V
c) 80 V
d) 40 V

Answer: d
Explanation:
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