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A thick hollow metallic sphere of Inner ...

A thick hollow metallic sphere of Inner and outer radius 2a and 4a, respectively, encloses a sold concentric metallic sphere of radius a'. These spheres are connected to the earth through switches `S_1` and `S_2` as shown in the figure First, switch `S_1` is closed and after some time `S_1` is opened. Then, `S_2` is closed and after some time `S_2` is opened. This completes one cycle. Initially, charge Q is given to the outer sphere with both `S_1` and `S_2` open. The charge on the inner sphere after n cycles of earthing the inner and outer spheres is

A

`-Q/3`

B

`-Q/3^n`

C

`-(2/3)^2Q`

D

`Q/3^n`

Text Solution

Verified by Experts

The correct Answer is:
B
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