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Q.

In an ideal metre-bridge, the balancing length from the left end when standard resistance of 1Ω is in right gap is found to be 20 cm. The value of unknown resistance (in Ω) is

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answer is 0.25.

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Detailed Solution

Let unknown resistance be X . Then condition of   Wheatstone's bridge gives XR=20r80r, where r is   resistance of wire per cm . ∴ X=2080×R=14×1=0.25Ω
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In an ideal metre-bridge, the balancing length from the left end when standard resistance of 1Ω is in right gap is found to be 20 cm. The value of unknown resistance (in Ω) is