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AP EAMCET · PHYSICS · Waves and Sound

The fundamental frequency of an open pipe is 100 Hz . If the bottom end of the pipe is closed and \(\frac{1}{3} \mathrm{rd}\) of the pipe is filled with water, then the fundamental frequency of the pipe is

  1. A 200 Hz
  2. B 100 Hz
  3. C 75 Hz
  4. D 150 Hz
Verified Solution

Answer & Solution

Correct Answer

(C) 75 Hz

Step-by-step Solution

Detailed explanation

For open organ pipe, \(\gamma_0=\frac{v}{2 L}=100 \mathrm{~Hz}\) For closed organ pipe \(\begin{aligned} & \frac{2 \mathrm{~L}}{3}=\frac{\lambda}{4} \\ & \therefore \quad \lambda=\frac{8 \mathrm{~L}}{3} \end{aligned}\) \(\therefore\) Fundamental frequency…