In the experiment of the determination of the speed of sound in air using the resonance column method…

Q: In the experiment of 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 tuning fork is 0.1 m. when this length is changed to 0.35 m, the same tuning 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

Ans: (b)

Sol: Let Δl be the end correction .

A/c to question ,

$\large \frac{v}{4(0.1+\Delta l)} = 3 (\frac{v}{4(0.35+ \Delta l)})$

On solving , Δl = 0.025 m