MHT CET · Physics · Waves and Sound
End correction at open end for air column in a pipe of length ' \(l\) ' is ' \(e\) '. For its second overtone of an opern pipe, the wavelength of the wave is
- A \(\frac{2(l+\mathrm{e})}{3}\)
- B \(\frac{2(l+2 \mathrm{e})}{3}\)
- C \(\frac{4(l+e)}{5}\)
- D \(\frac{4(l+2 \mathrm{e})}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{4(l+e)}{5}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \therefore \quad \mathrm{n}_3 & =\frac{3 \mathrm{v}}{2 l}=\frac{3 \mathrm{v}}{2(l+2 \mathrm{e})} \\ \lambda_3 & =\frac{2(l+2 \mathrm{e})}{3} \quad \ldots .\left(\because \mathrm{v}=\mathrm{n}_3 \lambda\right)\end{aligned}\)
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