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

Discussion Forum : Current Electricity

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 .

\frac{x}{2}

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 AC and CB respectively. 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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