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Q.

In the potentiometer arrangement shown, the driving cell A has emf ε and internal resistance r. The emf of the cell B is ε2 and internal resistance 2r. The potentiometer wire CD is 100 cm long. If balance is obtained with length CJ = l, then

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a

l=50 cm

b

l>50 cm

c

l<50 cm

d

Balance cannot be obtained

answer is B.

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Detailed Solution

As potential gradient k in the potentiometer wire will be less than (ε/100) (v/cm) because of presence of r, so for the battery of emf (ε/2) the balance point l will be greater than 50 cm as shown.l= ε/2k< ε/100 ⇒ l>50 cm

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