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Q.

A, B and C are three concentric metallic shells. Shell A is the inner most and shell C is the outermost. A is given some charge and shell C is earthed. Select the correct staternent(s),

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a

The inner surface of B and C will have same charge density

b

The outer surface of C will have no charge density

c

The inner surfaces of B and C will have the same charge

d

The outer surface of A, B and C will have the same charge

answer is A, D.

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Detailed Solution

detailed_solution_thumbnail

The distribution of charges is shown in figure. We see that the inner surface of B and C possess the same charge –Q .Also if x is charge on outer surface of C, then 
Question Image                                      
Vc=0
Q4π0c+(Q+Q4π0c)+Q+x4π0c=0
x=0

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