A wire of length 3 m connected in the left gap of a meter-bridge balances 8Ω resistance in the right gap at a point, which divides the bridge wire in the ratio 3 : 2 . The length of the wire correspon

Question

A wire of length 3 m connected in the left gap of a meter-bridge balances 8Ω resistance in the right gap at a point, which divides the bridge wire in the ratio 3 : 2 . The length of the wire corresponding to resistance of 1Ω is

TestHub · Accepted Answer

Let R 1 ​ be the resistance of 3 m long wire connected in the left gap. For meter-bridge, R 2 ​ R 1 ​ ​ = l 2 ​ l 1 ​ ​ ∴ ∴ ​ 8 R 1 ​ ​ = 2 3 ​ R 1 ​ = 2 3 ​ × 8 = 12Ω ​ Length of the wire corresponding to the resistance of 1Ω is l = 12 3 ​ = 0.25 m

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