In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is 40 cm. The balancing length, if the radius of the wire AB is doubled, will be ______________ cm. Numerical answer type. Work it out, then open the answer.

Answer: 40. Balance: (R₁)/(R₂) = (λ l)/(λ(100-l)); the resistance per cm λ cancels. Changing the wire radius changes λ only, not the ratio. Balancing length stays 40 cm.

In the given figure of meter bridge experiment, the balancing length… | JEE Main 2022 (27 Jul, Shift 2)

Q50JEE Main 2022 · 27 JUL · SHIFT 2Medium

Wheatstone Bridge & Metre Bridge

In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is $40\text{ cm}$ . The balancing length, if the radius of the wire $AB$ is doubled, will be ______________ $\text{cm}$ .

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

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Answer: 40

Balance: $\dfrac{R_1}{R_2} = \dfrac{\lambda l}{\lambda(100-l)}$ ; the resistance per cm $\lambda$ cancels.
Changing the wire radius changes $\lambda$ only, not the ratio.
Balancing length stays $40\text{ cm}$ .

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Wheatstone Bridge & Metre Bridge question from JEE Main 2022 (27 Jul, Shift 2)

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