JEE Mains · Physics · STD 11 - 14. waves and sound
The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is \(60 \mathrm{~cm}\), the length of the closed pipe will be _______.
- A \(60 \mathrm{~cm}\)
- B \(45 \mathrm{~cm}\)
- C \(30 \mathrm{~cm}\)
- D \(15 \mathrm{~cm}\)
Answer & Solution
Correct Answer
(D) \(15 \mathrm{~cm}\)
Step-by-step Solution
Detailed explanation
\(\frac{\lambda}{4}=\mathrm{L}_1 \quad 2\left(\frac{\lambda}{2}\right)=\lambda\) \(\mathrm{v}=\mathrm{f} \lambda \quad \mathrm{f}_2=\frac{2 \mathrm{v}}{2 \mathrm{~L}_2}\) \(\mathrm{v}=\mathrm{f}_1\left(4 \mathrm{~L}_1\right) \quad \mathrm{f}_2=\frac{\mathrm{v}}{\mathrm{L}_2}\)…
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