Question

A standing wave in second overtone is maintained in a open organ pipe of length $l$. The distance between consecutive displacement node and pressure node is $l/x$. Find $x$

Answer 1

Distance between a node and antinode is $\frac{\lambda }{4}$.

For a standing wave in 3rd harmonic:

$\frac{3\lambda }{2}=L$

$\frac{\lambda }{4}=\frac{L}{6}$

$\Rightarrow x=6$