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Q.

Two concentric conducting thin spherical shells A, and B  having radii r ¯ A  and  r ¯ B   r B > r A   are charged to QA and QB QB>QA . The electrical field along a line, (passing through the centre) is

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a

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b

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c

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d

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answer is A.

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Detailed Solution

Inside the shell A, electric field E in  =0  
 

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At the surface of shell A, 
E A = k Q A r A 2    (a fixed positive value) 
Between the shell A and B, at a distance x from the common centre
E= k Q A x 2    (asx increases E decreases)
At the surface of shell B,
E B = k Q A  Q B r D 2    (a fixed negative value because Q A < Q B  
Outside the both shell, at a distance x from the common centre 
E out  = k Q A  Q B x 2    (asx' increases negative value of E out    decreases and it becomes zero at x=)    

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