WBJEE · Physics · Waves and Sound
The frequency of the first overtone of a closed pipe of length \(l_{1}\) is equal to that of the first. overtone of an open pipe of length \(l_{2}\). The ratio of their lengths \(\left(l_{1}: l_{2}\right)\) is
- A \(2: 3\)
- B \(4: 5\)
- C \(3: 5\)
- D \(3: 4\)
Answer & Solution
Correct Answer
(D) \(3: 4\)
Step-by-step Solution
Detailed explanation
Here, \(\quad v_{1}=\frac{(2 n-1)}{4 l_{1}} v\) \[ v_{2}=\frac{n}{2 l_{2}} v \] Hence, \(y_{1}=v_{2}\) \[ \frac{l_{1}}{l_{2}}=\frac{3}{4} \]
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