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A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of air column is now

a
f
b
f/2
c
3f/4
d
2f

detailed solution

Correct option is A

In case 1 , Length of air column = l and fundamental frequency = f ∴ f=v2l  In case 2 , Length of air column =l2 and fundamental frequency = f' ∴ f'=v4l2=v2l ⇒ f'=f

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Similar Questions

A tube of certain diameter and of length 48 cm is open at both ends. Its fundamental frequency of resonance is found to be 320 Hz. The velocity of sound in air is 320 m/s. One end of the tube is now closed, considering the effect of end correction, calculate the lowest frequency of resonance for the tube (in Hz). 


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