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Charge on the outer sphere is q, and the...

Charge on the outer sphere is `q`, and the inner sphere is grounded. Then the charge `q`' on the inner sphere is q', for
`(r_(2) gt r_(1))`

A

zero

B

`q' = q`

C

`q' = - (r_(1))/(r_(2)) q`

D

`q' = (r_(1))/(r_(2))q`

Text Solution

Verified by Experts

The correct Answer is:
C
Potential at the surface of inner sphere `= 0` (grounded)
`(1)/(4pi epsilon_(0))(q)/(r_(2)) + (1)/(4pi epsilon_(0))(q')/(r_(1)) = 0`
`rArr q' = (-qr_(1))/(r_(2))`
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