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Q.

A potentiometer wire AB having length L and resistance 12r is joined to a cell D of emf ‘e’ and internal resistance r. A cell C having emf e/2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is

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a

1324L

b

512L

c

1112L

d

1124L

answer is D.

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Detailed Solution

Let l be the length of wire AJ at which galvanometer shows zero deflection

e2=[ϕ] (AJ)

e2=[er+12r] (12rL)(AJ)

AJ=13L24 

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