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Q.

If on the concentric hollow spheres of radii r and R (> r) the charge Q is distributed such that their surface densities are same then the potential at their common centre is:

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a

QR2+r24πε0(R+r)

b

QRR+r

c

Zero

d

Q(R+r)4πε0R2+r2

answer is D.

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Detailed Solution

q1+q2=Q and q14πr2=q24πR2 q1=Qr2R2+r2 and q2=QR2R2+r2 Potential at common centre 14πε0Qr2R2+r2r+QR2R2+r2R=Q(R+r)4πε0R2+r2
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