The line AA' is on a charged infinite conducting plane which is perpendicular to the plane of the paper. The plane has surface density of charge `sigma` and B is a ball of mass m with a like charge of magnitude q. B is connected by a string from a point on the line AA'. The tangent of the angle `(theta)` formed between the line AA' and the string is (provided, the charge q does not affect the distribution of charge on conducting plate)

Options

A. `(qsigma)/(2in_0 mg)`
B. `(qsigma)/(4in_0 mg)`
C. `(qsigma)/(2 pi in_0 mg)`
D. `(qsigma)/(in_0 mg)`

Answer

D

Explanation

Angle, `tan theta =(qE)/(mg) = (qsigma)/(mg epsilon_0)`