In the experiment for the determination 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 tunning fork is `0.1m` . When this length is changed to `0.35m`, the same tunning fork resonates with the first overtone. calculate the end correction.
(a) `0.012 m`
(b) `0.025 m`
( c) `0.05 m`
(d) `0.024 m`

Options

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

Answer

B

Explanation

Let `Delta l` be the end correction
Given that, fundamental tone for a length `0.1 m` = first overtone for the length 0.35 m
`(v)/(4(0.1+Deltal))=(3v)/(4(0.35+Deltal))`
we get `Deltal=0.025m=2.5 xx 10^(-2)m`.