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A large insulated sphere of radius r cha...

A large insulated sphere of radius r charged with Q units of electricity is placed in contact with a small insulated uncharged sphere of radius r' and is then separated. The charge on the smaller sphere will now be.

A

`(Q(r' + r))/(r')`

B

`(Q(r' + r))/r`

C

`(Q r)/(r' + r)`

D

`(Q r')/(r' + r)`

Text Solution

Verified by Experts

The correct Answer is:
d
Let the charge on the smaller sphere be `q`. As the potential of both will be the same finally,
`q/(r') = (Q - q)/( r)` or `q = (Q r')/(r + r')`.
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