In a metre bridge experiment, null point is obtained at 20 cm from one end of th

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In a metre bridge experiment, null point is obtained at 20 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4X against Y?

Options:

A . 50 cm

B . 80 cm

C . 40 cm

D . 70 cm

Answer: Option A
:
A

\frac{X}{Y} = \frac{20}{100 - l} = \frac{20}{80} = \frac{1}{4} Y = 4 X \frac{4 X}{Y} = \frac{l^{'}}{100 - l^{'}}; l^{'} = 50 c m

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