Electrostatics Test

Result

Electrostatics Test - 14

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Question 1
4 / -1

Two large metal plates are placed parallel to each other. The inner surfaces of plates are charged by + σ and – σ (Cm^-2 ). The outer surfaces are neutral. The electric field in the region between the plates and outside the plates is

A

B

C

D

Solution
Question 2
4 / -1

Consider a thin spherical shell of radius R consisting of uniform surface charge density σ. The electric field at a point of distance x from its centre and outside the shell is

A
inversely proportional to σ

B
directly proportional to x²

C
directly proportional to σ

D
inversely proportional to x²

Solution
Question 3
4 / -1

A
positive

B
negative

C
zero

D
depends on the path connecting the initial and final positions

Solution
Question 4
4 / -1

Charges are placed on the vertices of a square as shown. Let E be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then

A
E remains unchanged, V changes

B
both E and V change

C
E and V remain unchanged

D
E changes, V remains unchanged
Question 5
4 / -1

The potential of the electric field produced by point charge at any point (x, y, z) is given by, V = 3x² + 5, where, x, y are in metres and V is in volts. The intensity of the electric field at (–2, 1, 0) is

A
+17 Vm ^-1

B
+17 Vm ^-1

C
+12 Vm ^-1

D
–12 Vm ^-1

Solution
Question 6
4 / -1

Which of the following configurations of electric lines of force is not possible?

A

B

C

D
Both (2) and (3)
Question 7
4 / -1

Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is

A
4 : 1

B
1 : 2

C
2 : 1

D
1 : 4

Solution
Question 8
4 / -1

Two unlike charges of the same magnitude Q are placed at a distance d. The intensity of the electric field at the middle point in the line joining the two charges.

A
zero

B

C

D

Solution
Question 9
4 / -1

The spatial distribution of the electric field due to charges (A, B) is shown in figure. Which one of the following statements is correct?

A

B

C
Both are +ve but A > B

D
Both are -ve but A > B
Question 10
4 / -1

Let V be the electric potential at a given point. Then, the electric field E_x along x–direction at that point is given by

A

B

C

D