MCQ on electrostatics

Question 1
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then:
(a) negative and distributed uniformly over the sphere
(b) negative and appears only at the point on the sphere closest to the point-charge
(c) negative and distributed non-uniformly over the entire surface of the sphere
(d) zero

Question 2
Two similar point charges are situated at x-axis at point x=-a and x=+a. another point charge Q is placed at the origin. If Q is displaced by a small distance x on the X-axis, the change in its electric potential energy is approximately proportional to
(a) x
(b) x2
(c) x3
(d) 1/x

Question 3
At a point inside a charged hollow metallic sphere
(a) the potential is zero
(b) the electric field is zero
(c) the potential depends on the distance of the point from the center
(d) the electric field depends on the distance of the point from the center

Question 4
A hollow sphere of metal of radius 10cm is charged in such a way that the potential of its surface is 5 Volt. The potential at the center of the sphere is
(a) 0
(b) 5 volt
(c) 50 Volt
(d) equal to the potential at a distance 10cm from the surface of the sphere

Question 5
A sphere of radius 2cm has a charge of 2 micro Coulomb while the sphere of radius 5cm has charge 5 micro coulombs. The ratio of electric fields at a distance 10cm from the center of the spheres will be
(a) 2:5
(b) 1:1
(c) 5:2
(d) 4:25

1. d
2. b
3. b
4. b
5. a

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