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

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AIIMS BSc NURSING 2023 Memory-Based Paper

Answer 1

Calculation:
For a pipe of length L open at both ends, the fundamental frequency (f) in air is given by the equation:

f = v/λ = (v / 2L)

⇒ λ =2L

Now, when the pipe is dipped vertically in water and half of it is submerged, the length of the air column is halved.

⇒ L' = L/2

⇒ λ' =4L' = 2L

Hence, f' = v / λ' = v / 2L = f

Correct Answer: Option 2 - f

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