A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be a

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°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°C is

Accepted Answer

The velocity of sound is given by $v = 2f(L_2 - L_1)$. Given $f = 320 	ext{ Hz}$, $L_1 = 20 	ext{ cm}$, $L_2 = 73 	ext{ cm}$. $v = 2 	imes 320 	imes (73 - 20) 	imes 10^{-2} = 640 	imes 53 	imes 10^{-2} = 339.2 	ext{ ms}^{-1} \approx 339 	ext{ m/s}$.

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