Electrostatics Test

Result

Electrostatics Test - 7

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Weekly Quiz Competition

Question 1
4 / -1

A metallic solid sphere is placed in a uniform electric fied. The lines of force follow the path(s) shown in Figure as

A
1

B
2

C
3

D
4

Solution
Question 2
4 / -1

Flux coming out from a unit positive charge enclosed in air is

A

B

C

D

Solution
Question 3
4 / -1

An ellipsoidal cavity is carved within a perfect conductor. A positive charge q is placed at the centre of the cavity. The points A and B are on the cavity surface as shown in the figure. Then

A
electric field near A in the cavity = electric field near B in the cavity

B
charge density at A = charge density at B

C
potential at A = potential at B

D

Solution
Question 4
4 / -1

A
positive

B
negative

C
zero

D
depends on the path connecting the initial and final positions

Solution
Question 5
4 / -1

A point charge + q is placed at the mid-point of a cube of side a. The electric flux emerging from the cube is

A
zero

B

C

D

Solution
Question 6
4 / -1

A
120 J

B
–120 J

C
–80 J

D
80 J

Solution
Question 7
4 / -1

Consider a system of three charges q/3, q/3 and –2q/3 placed at points A, B and C, respectively, as shown in the figure. Take O to be the centre of the circle of radius R and angle CAB = 60°

A

B
The potential energy of the system is zero

C

D

Solution
Question 8
4 / -1

A spherical symmetric charge system is centered at origin.
Given, Electric potential

A
Within r = 2R₀ total enclosed net charge is Q

B
Electric field is discontinued at r = R₀

C
Charge is only present at r = R₀

D
Electrostatic energy is zero for r < R₀

Solution
Question 9
4 / -1

A hollow metal sphere of radius 10 cm is charged, such that the potential on its surface becomes 80 V. The potential at the centre of the sphere is

A
80 V

B
800 V

C
8 V

D
zero
Question 10
4 / -1

The electric potential at any point x, y, z in metres is given by V = 3x². The electric field at a point (2, 0, 1) is

A
12 Vm ^-1

B
–6 Vm ^-1

C
6 Vm ^-1

D
–12 Vm ^-1

Solution