Question

A charged ball `B` hangs from a silk thread `S`, which makes an angle `theta` with a large charged conducting sheet `P`, as shown in the figure. The surface charge density `sigma` of the sheet is proportional to

A. `costheta`
B. `cottheta`
C. `sintheta`
D. `tantheta`.

Answer 1

Correct Answer - D
`Tsintheta=sigmaq//epsilon_(0)`
`Tcostheta=mg`
`therefore" "tantheta=(sigmaq)/(epsilon_(0)mg)`
`therefore" "sigma` is proportional to `tantheta`.