Electrostatics Test

Result

Electrostatics Test - 72

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Question 1
4 / -1

Two equal negative charge –q are fixed at the fixed points (0, a) and (0, –a) on the Y-axis. A positive charge Q is released from rest at the point (2a, 0) on the X-axis. The charge Q will

A
Execute simple harmonic motion about the origin

B
Move to the origin and remain at rest

C
Move to infinity

D
Execute oscillatory but not simple harmonic motion

Solution
Question 2
4 / -1

An electric line of force in the xy-plane is given by equation x² + y² =1. A particle with unit positive charge, initially at rest at the point x = 1, y = 0 in the xy-plane

A
Not move at all

B
Will move along straight line

C
Will move along the circular line of force

D
Information is insufficient to draw any conclusion

Solution
Question 3
4 / -1

A positively charged ball hangs from a silk thread. We put a positive test charge q₀ at a point and measure F/q₀, then it can be predicted that the electric field strength E

A
> F/q₀

B
= F/q₀

C
< F/q₀

D
Cannot be estimated

Solution
Question 4
4 / -1

A solid metallic sphere has a charge +3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b(b > a). What is the electric field at a distance R(a < R < b) from the centre

A

B

C

D

Solution
Question 5
4 / -1

Two equal charges q of opposite sign separated by a distance 2a constitute an electric dipole of dipole moment p. If P is a point at a distance r from the centre of the dipole and the line joining the centre of the dipole to this point makes an angel θ with the axis of the dipole, then the potential at P is given by (r >> 2a) (where p = 2aq)

A

B

C

D

Solution
Question 6
4 / -1

A point charge q is placed at a distance a/2 directly above the centre a square of side a. The electric flux through the square is

A
q/ɛ₀

B
q/π ɛ₀

C
q/4 ɛ₀

D
q/6 ɛ₀

Solution
Question 7
4 / -1

Two identical thin rings each of radius R meters are coaxially placed at a distance R meters apart. If Q₁ coulomb and Q₂ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge q from the centre of one ring to that of other is

A
Zero

B

C

D

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A charge +q is fixed at each of the points x = x₀, x = 3x₀, x = 5x₀.... infinite, on the x-axis and a charge –q is fixed at each of the points x = 2x₀, x = 4x₀, x = 6x₀, .... infinite. Here x₀ is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q / (4πɛ₀r). Then, the potential at the origin due to the above system of charges is

A
0

B

C

D

Solution
Question 10
4 / -1

Let C be the capacitance of a capacitor discharging through a resistor R. Suppose t₁ is the time taken for the energy stored in the capacitor to reduce to half its initial value and t₂ is the time taken for the charge to reduce to one-fourth its initial value. Then, the ratio t₁ / t₂ will be

A
2

B
1

C
1/2

D
1/4

Solution