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There are two uncharged identicasl metal...

There are two uncharged identicasl metallic spheres 1 and 2 of radius r separated by a distance `d(dgtgtr)`. A charged metalllic sphere of same radius having charge q is touched with one of the sphere. After some time it is moved away fom the system. Now, the uncharged sphere is earthed. Charge on earthed sphere is

A

`q//2`

B

`-qr//d`

C

`qr//2d`

D

`-q//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Let third sphere be touched with `'I'`. Then `q//2` charge will be tranferred to `'I'`. Now `'2^(+)` is earthed Potential of `'2'` is zero.

`(kq)/(2d)+(kq_(1))/(r)=0` or `q_(1)=(qr)/(2d)`
Here `q_(1)` charge is transferred from earth to sphere `'2^(+)`
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