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If in a meter bridge experiment, the bal...

If in a meter bridge experiment, the balancing length `l` was 25 cm for the situation shown in the figure. If the length and diameter of the of wire of resistance R is made half, then find the new balancing length in centimeter is

Text Solution

Verified by Experts

The correct Answer is:
40
`X/R = 75/25 = 3`
`r = (rhol)/A =(4rhol)/(pid^(2))`
`R. = (4rho(l/2))/(pi(d/2)^(2)) = 2R`
Then `X/R^(.) =(100 - l.)/l^(.)`
`(100 - l^(.))/l^(.) = X/(2R) = 3/2`
`l^(.) = 40.00 cm`
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