A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to: 

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NEET 2025 Official Paper (Held On: 04 May, 2025)
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  1. \(\frac{f}{2}\)
  2. f
  3. \(\frac{3f}{2}\)
  4. 2f

Answer (Detailed Solution Below)

Option 2 : f
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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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