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Question

A cell is connected in the secondary circuit of a potentiometer and a balance point is obtained at 84 cm When the cell is shunted by a 5Ω resistor, the balance point changes to 70 cm. If the 5Ω resistor is replaced with 3Ω resistor then the balance point will be at

A
53 cm
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B
63 cm
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C
42 cm
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D
112 cm
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Solution

The correct option is B 63 cm
r=R[l1l2l2]=R1[l1l12l12]5[847070]=3[84l12l12]l12×1414×3=84l12l12+l123=844l12=84×3l12=63cm

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