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JEE Main 2008 (AIEEE) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from JEE Main 2008 (AIEEE)

Q81JEE Main 2008 · AIEEEEasy

Wheatstone Bridge & Metre Bridge

Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.

The value of the unknown resister $R$ is

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Answer: (b)

Metre bridge balance: $\dfrac{55}{R} = \dfrac{l}{100-l}$
$l = 20$ cm, so $\dfrac{55}{R} = \dfrac{20}{80} = \dfrac{1}{4}$
$R = 4 \times 55 = 220\ \Omega$
So the answer is (b) $220\ \Omega$ .

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