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JEE Main 2021 (18 Mar, Shift 2) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from JEE Main 2021 (18 Mar, Shift 2)

Q59JEE Main 2021 · 18 MAR · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm from A. The galvanometer shows zero deflection.

The value of x, to the nearest integer, is ___________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 48

Balance: $\dfrac{12}{6} = \dfrac{x}{72-x}$ .
$x = 2(72 - x) \Rightarrow 3x = 144$ .
$x = 48\text{ cm}$ .

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