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NEET PHYSICSMedium

In a potentiometer circuit a cell of EMF 1.5\V1.5 \V gives balance point at 36\cm36 \cm length of wire. If another cell of EMF 2.5\V2.5 \V replaces the first cell, then at what length of the wire, the balance point occurs?

A

60\cm60 \cm

B

21.6\cm21.6 \cm

C

64\cm64 \cm

D

62\cm62 \cm

Step-by-Step Solution

From the application of potentiometer to compare two cells of emfs E1E_1 and E2E_2 by balancing lengths 1\ell_1 and 2\ell_2, we have E1/E2=1/2E_1/E_2 = \ell_1/\ell_2. Thus, 2=1(E2/E1)=(36\cm)(2.5\V/1.5\V)=60\cm\ell_2 = \ell_1(E_2/E_1) = (36 \cm)(2.5 \V / 1.5 \V) = 60 \cm.

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