What should be the length of a closed pipe to produce resonance with sound wave of wavelength $62…
What should be the length of a closed pipe to produce resonance with sound wave
of wavelength $62 \mathrm{~cm}$, in fundamental mode?
[Neglect end correction]
$31 \mathrm{~cm}$
$15 \cdot 5 \mathrm{~cm}$
$20 \cdot 6 \mathrm{~cm}$
$46 \cdot 5 \mathrm{~cm}$
Solution
In a closed pipe in fundamental mode the length of the pipe is $\frac{\lambda}{4}$. $\therefore \ell=\frac{62}{4}=15.5 \mathrm{~cm}$