Two sound waves of wavelength $\lambda_1$ and $\lambda_2\left(\lambda_1\right)$ produce $n$ beats p

Question

Two sound waves of wavelength $\lambda_1$ and $\lambda_2\left(>\lambda_1\right)$ produce $n$ beats per second, the speed of sound is

Professor PC Thomas Classes · Answer

Beats frequency $=f_1-f_2=v\left[\frac{1}{\lambda_1}-\frac{1}{\lambda_2}\right]=n \quad$ or $\quad v=\frac{n \lambda_1 \lambda_2}{\lambda_2-\lambda_1}$