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  4. In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is x, what would be its value if the radius of the wire AB is doubled?

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Q. In the shown arrangement of the experiment of the meter bridge if $AC$ corresponding to null deflection of galvanometer is $x$, what would be its value if the radius of the wire $AB$ is doubled?Physics Question Image

BITSATBITSAT 2016

Solution:

At null point $\frac{R_{1}}{R_{2}}=\frac{R_{3}}{R_{4}}=\frac{x}{100-x}$
If radius of the wire is doubled, then the resistance of $A C$ will change and also the resistance of $CB$ will change. But since $\frac{R_{1}}{R_{2}}$ does not change so, $\frac{R_{3}}{R_{4}}$ should also.
not change at null point. Therefore the point $C$ does not change.

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