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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 figure. The surface charge density `sigma` of the sheet is proportional to

A

`cos theta`

B

`cot theta`

C

`sin theta`

D

`tan theta`

Text Solution

Verified by Experts

The correct Answer is:
D

`T sin theta=(q sigma)/epsilon_(0)` and `T cos theta=mg`
At equilibrium `tan theta=F_(E)/(mg)=(q sigma)/(mg epsilon_(0))rArr sigma prop tan theta`
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