Electric Charges and Fields Test

Result

Electric Charges and Fields Test - 14

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Question 1
1 / -0

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

A
qL²/ϵ_o

B
q/ϵ_o

C
zero

D
q/6L²ϵ_o

Solution

Since the charge inside cube is q, so by Gauss theorem, the total flux through the cube is ϕ = q/ε₀
Question 2
1 / -0

A particle of mass m and charge q is released from rest in a uniform electric field E. The kinetic energy attained by the particle after moving a distance x is

A
qEx²

B
qE²x

C
q²Ex

D
qEx

Solution

If a charge q placed in uniform electric field E, it experiences force, F = qE
displacement = x
W = Force × displacement = qE x
According to work energy theorem, Net work done = change in Kinetic energy
Hence, Kinetic energy attained = qE x.
Question 3
1 / -0

A long, hollow conducting cylinder is kept co-axially inside another long, hollow conducting cylinder of a larger radius. Both the cylinders are initially electrically neutral.
Which of the following statements is correct based on the above-mentioned condition?

A
A potential difference appears between the two cylinders when inner cylinder is charged.

B
A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.

C
No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.

D
No potential difference appears between the two cylinders when same charge density is given to both the cylinders.

Solution

When the charge is given to inner cylinder, then an electric field is produced between cylinders which is given by E = λ/2πε₀r and due to this a potential difference is developed between two cylinders.
Question 4
1 / -0

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. Then the net charge on the sphere is -

A
Negative and distributed non–uniformly over the entire surface of the sphere

B
Negative and distributed uniformly over the surface of the sphere

C
Negative and appears only at the point on the sphere closest to the point charge

D
Zero

Solution

If a charge +q is placed outside, then the electric field lines incident on the conducting sphere induces -q charge on one surface whereas the opposite surface becomes oppositely charged (i.e. +q) and the total charge becomes zero.