A tuning fork of frequency 542 Hz is placed near the top of the pipe shown in th

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A tuning fork of frequency 542 Hz is placed near the top of the pipe shown in the Figure. The water level is lowered so that the length L slowly increases from an initial value of 20.0 cm. Determine the next two values of L that correspond to resonant modes. (Assume that the speed of sound in air is 343 m/s.)

 m (shorter length) 
 m (longer length)
Oct 18th, 2017

 at a frequency of 514 Hz and speed 343 m/s the wavelength is 0.667 m 

( 66.7 cm ) 

If the tube is open at the top there is a maximum at the top and a node at the bottom at resonance. 

i.e. at L = lambda / 4 

The next resonance occurs at 3 lambda/4 then 5 lambda/4 etc. 

these correspond to 66.7 / 4 = 16.7 cm 

3 lambda/4=50 cm 

5lambda/4 = 83 cm


Apr 1st, 2015

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Oct 18th, 2017
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Oct 18th, 2017
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