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A spherical conductor of radius 2 m is charged to a potential of 120 V. It is now placed inside another
hollow spherical conductor of radius 6 m. Calculate the potential of bigger sphere, if the smaller sphere
is made to touch the bigger sphere.

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120 V

60 V

40 V

80 V

answer is D.

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Detailed Solution

We have, $V = \frac{KQ}{r} \Rightarrow 120 = \frac{KQ}{2}$

$∴$ Kq = 240 units

When it is made to touch the bigger sphere, whole charge will transfer to bigger sphere.

$∴$ Potential of bigger sphere, $V = \frac{Kq}{6} = \frac{240}{6} = 40 V$

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