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Q.

A conducting sphere A of radius a, with charge Q, is placed concentrically inside a conducting shell B of radius b. B is earthed. C is the common centre of the A and B

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a

The potential difference between A and B is 14πε0Q1a1b

b

The potential at a distance r from C, Where  a<r<b,  is  14πε0Qr

c

The field is at a distance r from C, Where  a<r<b, is  14πε0Qr2

d

The potential at a distance r from C, Where a<r<b,  is 14πε0Q1r1b

answer is A, C, D.

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Detailed Solution

 a<r<b; Enclosed charge =Q

E.4πr2=Qε0

E=Q4πεr2    Option (A) is correct.

Let Q’ be the charge on B

VB=0Q'=Q;VA=14πε0QaQb    Option (C) is correct.

VB=0VAVB=VA

Vr=14πεQrQb          Option (D) is correct. Option (B) is wrong. 

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