Experiments to find speed of sound

Question

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 ${27}^{0}C$ 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 ${27}^{0}C$ is

Easy

Solution

The velocity of sound in air at ${27}^{0}C$ is

$v=2\left(n\right)\left[{L}_{2}-{L}_{1}\right];\text{where}v=$frequency of tuning fork and ${L}_{1},{L}_{2}$ are the successive column length.

$\therefore v=2\times 320[73-20]\times {10}^{-2}$

$=339.2\mathrm{m}{\mathrm{s}}^{-1}\approx 339\mathrm{m}{\mathrm{s}}^{-1}$

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