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MHT CET202314 May 2023Morning ShiftPhysicsCurrent ElectricityActual

A wire of length 3 ~m connected in the left gap of a meter-bridge balances 8 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 1 is

Options

  1. A1 ~m
  2. B0.75 ~m
  3. C0.5 ~m
  4. D0.25 ~m

Correct answer

D. 0.25 ~m

Step-by-step solution

Let R₁ be the resistance of 3 ~m long wire connected in the left gap. For meter-bridge, R ₁ R ₂ = l₁ l₂ array ll & R ₁ 8 = 3 2 & R ₁= 3 2 8=12 array Length of the wire corresponding to the resistance of 1 is l= 3 12 =0.25 ~m

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