Question

A tuning fork of frequency $520Hz$ is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, $l_1=40cm$ and $l_2=70cm$. The value of $y($ in $m{s}^{-1})$ is equal to______

Answer 1

Answer: 312.00

Given, frequency of tuning fork $=520Hz$
Resonance lengths, $l_1=40$ and $l_2=70cm$
Speed of sound, $v_{\text{air }}$
$=2v\left(l_2-l_1\right)$
$=2\times 520\times (70-40)\times 10^{-2}$
$=1040\times 30\times 10^{-2}$
$=312m{s}^{-1}$