##### 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)
Apr 1st, 2015

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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Apr 1st, 2015
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Apr 1st, 2015
Dec 10th, 2016
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