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Q.

The length of potentiometer wire is 200 cm and the emf of standard cell in primary circuit is E volts. It is employed to a battery of emf 0.4 v the balance point is obtained at l=40 cm from positive end, the E of the battery is (cell in primary is ideal and series resistance is zero)

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a

4v

b

2v

c

5v

d

7v

answer is B.

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Detailed Solution

Length of potentiometer L=200 cm Battery of emf E1=0.4 V Balancing length l=40 cm E1=ERPRP+RSlL ⇒E=E1Ll           =0.4×20040         ∴  E=2v
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The length of potentiometer wire is 200 cm and the emf of standard cell in primary circuit is E volts. It is employed to a battery of emf 0.4 v the balance point is obtained at l=40 cm from positive end, the E of the battery is (cell in primary is ideal and series resistance is zero)