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Question

In a potentiometer, the balance length with standard cadmium cell is 509 cm. The emf of a cell which when connected in the place of the standard cell gave a balanced length of 750 cm is (emf of the standard cell is 1.018V):

A
1.5V
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B
0.5V
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C
1.08V
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D
1.2V
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Solution

The correct option is A 1.5V
Let the Emf of cell be E

Ec=I×r×l1[I1=509cm]

r - resistance per unit length of wire

E=I×r×l2[I2=750cm]

EcE=l1l2=509750

1.018E=509750

E=1.018×750509=1.5V

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