A potentiometer wire of length 100 cm and resistance 3Ω is connected in series with resistance of 8Ω and an accumulator of 4 volt whose internal resistance is 1Ω A cell of e.m.f. 'E' is bala

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A potentiometer wire of length 100 cm and resistance 3Ω is connected in series with resistance of 8Ω and an accumulator of 4 volt whose internal resistance is 1Ω A cell of e.m.f. 'E' is balanced by 50 cm length of the wire. The e.m.f. of the cell is

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(C) Total resistance = 3 + 8 + 1 = 12Ω current. I = R E ​ = 12 4 ​ = 3 1 ​ A P.D. across the wire = I R ω ​ = 3 1 ​ × 3 = 1 V potential gradient K = L V ​ = 1 1 ​ = 1 v / m E ′ = K ℓ ′ = 1 × 0.5 = 0.5 V

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