COMEDK · Physics · 16. Waves and Sound
Two open organ pipes A and B of length \(22 \mathrm{~cm}\) and \(22.5 \mathrm{~cm}\) respectively produce 2 beats per sec when sounded together. The frequency of the shorter pipe is
- A 88 Hz
- B 90 Hz
- C 92 Hz
- D 86 Hz
Answer & Solution
Correct Answer
(B) 90 Hz
Step-by-step Solution
Detailed explanation
The fundamental frequency of an open organ pipe of length \(L\) is given by \(f = \dfrac{v}{2L}\), where \(v\) is the speed of sound in air. Let \(v = 330 \text{ m/s}\) be the standard speed of sound. For pipe A with length \(L_A = 22 \text{ cm} = 0.22 \text{ m}\), the frequency…
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