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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

`sin theta`

B

`tan theta`

C

`cos theta`

D

`cot theta`

Text Solution

Verified by Experts

The correct Answer is:
b
`T sin theta =qE`
and `T cos theta= mg`

`implies tan theta= (qE)/(mg)= (q)/(mg)((sigma)/(2epsilon_(0)))implies sigma prop tan theta`.
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