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?

The difference between two successive resonance lengths in a closed tube is half the wavelength (λ/2). In this case, the difference is 73 cm - 20 cm = 53 cm.
Therefore, λ/2 = 53 cm, which means the wavelength λ = 106 cm = 1.06 m.
The velocity (v) of sound is given by the formula: v = fλ, where f is the frequency.
Given f = 320 Hz and λ = 1.06 m,
v = 320 Hz × 1.06 m = 339.2 m/s
Rounding to the nearest whole number, the velocity of sound in air at 27°C is approximately 339 m/s.