Answer:
The velocity of the tuning fork sound is 317.4648 m/s
Step-by-step explanation:
The given parameters are;
The frequency of the fork, f = 426.7 Hz
The length of the closed air column, L = 0.186 m
The diameter of the tube, d = 0.15 m
At the fundamental frequency in a closed tube, we have;
λ = 4·L
Where;
λ = The wavelength of the wave
L = The length of the tube
From the equation for the velocity of a wave, we have;
v = f·λ
Where;
v = The velocity of the (sound) wave
f = The frequency of the wave = 426.7 Hz
λ = 4·L = 4 × 0.186 m = 0.744 m
∴ v = 426.7 Hz × 0.744 m = 317.4648 m/s
Therefore, the velocity of the sound produced by the tuning fork, v = 317.4648 m/s