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Question

There are four concentric shells A,B,C and D of radii a,2a,3a and 4a respectively. Shells B and D are given charges +q and q respectively. Shell C is now earthed. The potential difference VAVC is (k=14πε0)

A
kq2a
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B
kq3a
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C
kq4a
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D
kq6a
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Solution

The correct option is D kq6a
VC=kq3a+kq3akq4a=0
kq12a=kq3a
q=q4
VA=kq2akq43akq4a

VA=kq2akq43akq4a

VA=kq4akq12a
VA=kq6a
VAVC=kq6a

152510_125103_ans.PNG

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