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Q.

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

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a

1112L

b

1124L

c

512L

d

1324L

answer is C.

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Detailed Solution

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Potential gradient across wire is  12E13L
For null deflection  12E13L×l=E/2

l=13L24

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