A tuning fork of frequency 550 Hz is placed near tje top of the pipe shown in th

Question

A tuning fork of frequency 550 Hz is placed near tje top of the pipe shown in the figure. The water level is lowered so that the length L slowly increses from an initial value near 20.0 cm. Determine the next 2 values of L that corredspond to resonant modes. (Assume that the speed of sound in air is 343 m/s.)

_____ m (shorter length)

_____ m (longer length)

A tuning fork of frequency 550 Hz is placed near tje top of the pipe shown in the figure. The water level is lowered so that the length L slowly increses from an initial value near 20.0 cm. Determine the next 2 values of L that corredspond to resonant modes. (Assume that the speed of sound in air is 343 m/s.)

Explanation / Answer

l=V/4n=343/4*550=0.1559=15.59cm
this is the length corresponding to fundamentalfrequency.
as the pipe is closed the next two lengths are 3*15.59=46.77cmand
5*16.55=77.95cm

46.77=0.4677 m____ m (shorter length)

77.95 cm=0.7795 m____ m (longer length)

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