In the meter bridge experiment shown in figure, the balance length AC correspond

Question

In the meter bridge experiment shown in figure, the balance length AC corresponding to null deflection of the galvanometer is x. What would be the balance length if the radius of the wire AB is doubled?

Options:

A . x2

B . x

C . 2x

D . 4x

Answer: Option B
:
B
The condition for no delflection of the galvanometer is

\frac{R_{1}}{R_{2}} = \frac{R_{A C}}{R_{C B}}

where

R_{A C}

and

R_{C B}

are the resistances of the bridge wire of length ACand CBrespectively. If the radius of the wire AB is doubled the ratio

\frac{R_{A C}}{R_{C B}}

will remain unchanged.Hence the balance length will remain the same

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