A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of $27\,^o C$ two successive resonances are produced at $20\, cm$ and $73\, cm$ of column length. If the frequency of the tuning fork is $320\, Hz,$ the velocity of sound in air at $27\,^o C$ is .... $m/s$
NEET 2018, Medium
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The velocity of sound in air at $27^{\circ} \mathrm{C}$ is
$v=2(v)\left[L_{2}-L_{1}\right] ;$ where $v=$ frequency of tuning
fork and $L_{1}, L_{2}$ are the successive column length.
$\therefore \quad v=2 \times 320[73-20] \times 10^{-2}=339.2 \mathrm{ms}^{-1}=339 \mathrm{ms}^{-1}$
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