Question:
The beats are produced when there is a superposition of two sound waves which will have
The beats are produced when there is a superposition of two sound waves which will have
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The pipe becomes closed at the water end, and the air column is one third of the original length.
Updated On: Oct 1, 2026
- same amplitude and same frequency.
- different amplitude but same frequency.
- same amplitude but slightly different frequencies.
- different amplitude and different frequencies.
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The Correct Option is C
Solution and Explanation
Step 1: Open pipe:
For a pipe of length L open at both ends, \(f = \frac{v}{2L}\).
Step 2: After dipping:
Two thirds of the pipe is in water, so the air column has length \(\frac L3\). It is closed at the water end and open at the other end, so the fundamental is
\[ f' = \frac{v}{4(L/3)} = \frac{3v}{4L} \]
Step 3: Compare:
\(\frac{f'}{f} = \frac{3v/4L}{v/2L} = \frac32\), so \(f' = \frac32f\).
Final Answer:
The new fundamental frequency is \(\frac32f\), option (B). \[ \boxed{\frac{3}{2}f} \]
For a pipe of length L open at both ends, \(f = \frac{v}{2L}\).
Step 2: After dipping:
Two thirds of the pipe is in water, so the air column has length \(\frac L3\). It is closed at the water end and open at the other end, so the fundamental is
\[ f' = \frac{v}{4(L/3)} = \frac{3v}{4L} \]
Step 3: Compare:
\(\frac{f'}{f} = \frac{3v/4L}{v/2L} = \frac32\), so \(f' = \frac32f\).
Final Answer:
The new fundamental frequency is \(\frac32f\), option (B). \[ \boxed{\frac{3}{2}f} \]
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