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A charged ball B hangs from a silk threa...

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`.

Text Solution

Verified by Experts

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