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

Asked in JEE Main 2016, 2012 · Pipe with water or another gas

Answer: (4) f

Step-by-step solution

Originally f=v/(2L).

Half submerged, the air column is /L2 long and is closed at the water surface, so f'=v/(4(L/2))=v/(2L).

The frequency is unchanged: f'=f.

Why the other options are wrong

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