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A pipe is open on both ends. The diameter of the pipe is 5.0 cm and...

A pipe is open on both ends. The diameter of the pipe is 5.0 cm and the length of the pipe is 28.0 cm. A sound frequency generator is used to produce sound until the first harmonic is observed.

a. What fraction of the first-harmonic wavelength is the pipe length?

b. What additional piece of information would be needed in order to determine the frequency of the first harmonic in this tube?

c. How would the observed frequency of the first harmonic be affected if the length of the pipe was reduced to 14.0 cm?

d. How would the observed frequency of the first harmonic be affected if the diameter of the pipe was reduced to 2.5 cm?

e. The frequency is adjusted such that the third harmonic is observed.

i. By what factor does the frequency change compared to the first harmonic?

ii. Does the frequency increase or decrease compared to the first harmonic?

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Answer #1

a Pipe length is 0.5 time of wavelength hence fraction is equal to 0.5

b In order to determine sounds frequency we require velocity of sound in pipe

c. By reducing the length of pipe it's frequency will increase

d. By reducing diameter frequency of harmonic doesn't change

e. i it will increase by 3 time

  ii frequency will increase in comparison to first harmonic  

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