Physics - Sound Wave Question with Solution | TestHub

As is clear from figure of question

$l=\frac{{\lambda }_p}{4}, \lambda =4l, n_p=\frac{v}{{\lambda }_p}=\frac{v}{4l}$

$l=\frac{{\lambda }_q}{2},{\lambda }_q=2l, n_q=\frac{v}{{\lambda }_q}=\frac{v}{2l}$

$l={\lambda }_r, {\lambda }_r=l, n_r=\frac{v}{{\lambda }_r}=\frac{v}{l}$

$l=\frac{3{\lambda }_s}{4}, {\lambda }_s=\frac{4l}{3}, n_s=\frac{v}{{\lambda }_s}=\frac{3v}{4l}$

$\therefore n_p:n_q:n_r:n_s=\frac{v}{4l}:\frac{v}{2l}:\frac{v}{l}:\frac{3v}{4l}=1:2:4:3$