In the shown arrangement of the experiment of the meter bridge, if corresponding to null deflection of galvanometer is , what would be its value if the radius of the wire is doubled [2003]

(1)
In case of meter bridge at null point

If radius of the wire is doubled, then the resistance of AC will change and also the resistance of CB will change. But since does not change so, should also not change at null point. Therefore the point C does not change.