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Q.

An uncharged metallic sphere of radius R is concentrically placed inside another metallic sphere of radius 2R which is initially charged to a potential V. If the inner sphere is earthed, what will be the potential of the outer sphere?

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a

V

b

3V4

c

V4

d

V2

answer is D.

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Detailed Solution

Charge on outer sphere Q=8π∈0RVAfter the inner sphere is earthed, let the charge on it be q∴ 14π∈0qR+14π∈0Q2R=0⇒q=−Q2=−4π∈0RV∴ V1=Potential of the outer sphere =14π∈0q2R+14π∈0Q2R=−V2+V=V2
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