Description
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)
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Explanation & Answer
the wavelength of the sound wave is 343/543 = 0.632,
the resonant mode L = n*lambda +lambda/4
since 20 cm > lambda/4
n=1, L = 5/4 lambda = 1.25*.632 =0.79 m
n=2, L = 0.79+0.632 = 1.422 m
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