Physics - Sound Wave Question with Solution | TestHub

First overtone of a closed pipe is given by $$\mathrm{f}=\frac{3\mathrm{V}}{4\ell }$$ First overtone of an open pipe is given by $${\mathrm{f}}^{\prime }=\frac{\mathrm{V}}{{\ell }^{\prime }}$$ Since $\mathrm{f}={\mathrm{f}}^{\prime },\frac{3\mathrm{V}}{4\ell }=\frac{\mathrm{V}}{{\ell }^{\prime }}$ $$\therefore \frac{\ell }{{\ell }^{\prime }}=\frac{3}{4}$$