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JEE Main 2024 (27 Jan, Shift 2) · Wheatstone Bridge & Metre Bridge

Wheatstone Bridge & Metre Bridge question from JEE Main 2024 (27 Jan, Shift 2)

Q27JEE Main 2024 · 27 JAN · SHIFT 2Easy

Wheatstone Bridge & Metre Bridge

Wheatstone bridge principle is used to measure the specific resistance $(S_1)$ of given wire, having length $L$ , radius $r$ . If $X$ is the resistance of wire, then specific resistance is; $S_1 = X\left(\frac{\pi r^2}{L}\right)$ . If the length of the wire gets doubled then the value of specific resistance will be:

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Answer: (d)

Specific resistance (resistivity) is a property of the material, not of the wire's size.
Doubling L doubles X, so $S_1 = X\frac{\pi r^2}{L}$ stays the same.
So the answer is (d) $S_1$ .

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