In the eperiment for the determinetion of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is `0.1m`. When this length is changed to `0.35m`, the same tuning fork resonates with the first overone. calculate the end correction.

Options

A. `0.012m`
B. `0.025m`
C. `0.05m`
D. `0.024m`

Answer

B

Explanation

(b) `l_(1) + x = (lambda)/4)` or `lambda = 4(l_(1) + x)`
`(l_(2) + x) = (3lambda)/(4)` or `lambda = (4)/(3)(l_(2) + x)`
:. `v_(1) = (v)/(lambda_(1)) = (v)/(4(l_(1) + x)` :. ` v_(2) = (v)/(lambda_(2)) = (v)/(4(l_(2) + x)`
Given `v_(1) = v_(2)`
or, `(v)/(4(l_(1) + x)) =(3v)/(4(l_(2) + x))` or, `x = 0.025 m`