A resistance wire connected in left gap of metre bridge balances 10 Ω in right gap at a point dividing bridge wire in ratio 3:2. If length of resistance wire is 1.5 m, then length of 1 Ω of resistance wire is:
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Question

A resistance wire connected in left gap of metre bridge balances 10 Ω in right gap at a point dividing bridge wire in ratio 3:2. If length of resistance wire is 1.5 m, then length of 1 Ω of resistance wire is:

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G1 Physics · Accepted Answer

Step 1: Balance condition R/10 = 3/2 ⇒ R = 15 Ω. Step 2: The 1.5 m wire has resistance 15 Ω, so resistance per metre is 10 Ω/m. Step 3: Length for 1 Ω is 1/(10 Ω/m) = 0.10 m.