WBJEE · Physics · Waves and Sound
The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe \(100 \mathrm{Hz}\). The frequency of the third harmon of the closed pipe is
- A \(100 \mathrm{Hz}\)
- B \(200 \mathrm{Hz}\)
- C \(300 \mathrm{Hz}\)
- D \(150 \mathrm{Hz}\)
Answer & Solution
Correct Answer
(C) \(300 \mathrm{Hz}\)
Step-by-step Solution
Detailed explanation
Let the length of closed organ pipe 1 be. Then, \[ v_{n}=(2 n-1) \frac{v}{4 l} \] Its third harmonics (put \(n=2\) ) in above question. \[ v_{3}=\frac{3}{4} \frac{v}{1} \] Now, the length of open organ pipe is 21 , then \[ v_{n}=n \frac{v}{2(2 l)}=\frac{n v}{4 l} \] Its…
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