A simple pendulum of length `l` has a bob of mass `m` , with a charge `q` on it. A vertical sheet of charge , with the vertical . Its time period of oscillation is `T` in this position
(i) `tan theta = (sigma q)/(2 epsilon_(0) mg)`
(ii) `tan theta = (sigma q)/(epsilon_(0) mg)`
(iii) `T lt 2 pi sqrt((l)/(g))`
(iv) `T gt 2pi ((l)/(g))`

Options

A. `(i),(ii)`
B. `(i),(iii)`
C. `(ii),(iii)`
D. `(ii),(iv)`

Answer

2

Explanation

`tan theta = (q sigma//2 in_(0))/(mg) = (q sigma)/(2 in_(0) mg)`
Time period
`T = 2 pi sqrt((l)/(sqrt((g)^(2) + ((q sigma)/(2 in_(0) m))^(2))))`
`Tlt 2 pi sqrt((l)/(g))`