1. What is the fundamental frequency (in Hz) of a 72.4 cm long tube, open at both ends, on a day when the speed of sound is 344 m/s?2. What is the frequency of its second hormonic?

Respuesta :

Answer:

The frequency of its second harmonic is 475.14 Hz.

Explanation:

Given;

length of the open tube, L = 72.4 cm = 0.724 m

speed of sound, v = 344 m/s

the wavelength at fundamental frequency is calculated as;

L = A -----N + N----A

where;

L is length of the tube

A is antinode of wave in the pipe

N is node of the wave in the pipe

[tex]L = \frac{\lambda}{4} + \frac{\lambda}{4}\\\\L = \frac{\lambda}{2}\\\\\lambda = 2L = \lambda_o[/tex]

the fundamental frequency of the wave is calculated as;

[tex]f = \frac{v}{\lambda}\\\\f_o =\frac{v}{\lambda _o} \\\\f_o = \frac{v}{2L} \\\\f_o = \frac{344}{2\times 0.724}\\\\f_o = 237.57 \ Hz[/tex]

the frequency of the second harmonic is calculated as;

2f₀ = 2 x 237.57

2f₀ = 475.14 Hz.