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In the given arrangement of experiment on meter bridge, if $A D$ corresponding to null deflection of the galvanometer is $X$, what would be its value if the radius of the wire $A B$ is doubled?

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The correct answer is:
$X$
In a meter bridge, balancing length of the wire is independent of the area of cross-section of the wire.
So, if the radius of wire $A B$ is doubled, the balancing length will still be $X$ only.
So, if the radius of wire $A B$ is doubled, the balancing length will still be $X$ only.
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