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

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 

Apr 1st, 2015

f = 542 Hz, should be 

the wavelength of the sound wave is 343/542 = 0.633, 

the resonant mode L = n*lambda +lambda/4

since 20 cm > lambda/4 

n=1,  L =  5/4 lambda = 1.25*.633 =0.791 m 

n=2, L = 0.791+0.633 = 1.424 m 


Apr 1st, 2015

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