1.

The length of a wire of a potentiometer is 100 cm, and the emf of its standard cell is E volt.  It is employed to measure the e.m.f of a battery whose internal resistance is 0.5 W.  If the balance point is obtained at l = 30 cm from the positive end, the e.m.f. of the battery is                              [AIEEE 2003]

A.         \[\frac{30E}{100}\]
B.         \[\frac{30E}{100.5}\]
C.         \[\frac{30E}{(100-0.5)}\]
D.         \[\frac{30(E-0.5i)}{100}\], where i is the current in the potentiometer
Answer» B.         \[\frac{30E}{100.5}\]


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