A 0.5 meter long pipe is open on both ends. Assume the speed of sound in...

A 0.5 meter long pipe is open on both ends. Assume the speed of sound in air is 343 m/s.

A) What is the longest wavelength of sound that can be resonant in the pipe?

B) What is the fundamental frequency of sound in this pipe?

C) What is the frequency of the 2nd and 3rd harmonic of sound in this pipe?

D) What is the wavelength of the 2nd and 3rd harmonic of sound in this pipe?

Solutions

Expert Solution

Speed of wave, v = frequecy x wavelength = x

A)

Constructive interference( or resonance) takes place in an open end pipe of length L if

L = n/2

=> = 2L/n
Therefore, longest wavelength corresponds to n = 1.

Resonant frequencies in open end pipe satisfy

n = 1 corresponds to the fundamental frequency,

Therefore,

Second and third harmonics for an open end organ pipe correspond to n = 2 and n = 3, respectively.

And

Also,

genius_generous answered 1 year ago

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