Physics - Sound Wave Question with Solution | TestHub

Given frequencies are $n_1=256$ Hz and $n_2=250$ Hz.

Beat frequency is given by $N=n_1-n_2=256-250=6$ Hz.

Time period of beats is $T=\frac{1}{N}=\frac{1}{6}$ s.

The time interval between a maximum intensity (waxing) and the successive minimum intensity (waning) is $\frac{T}{2}$.

Required time $t=\frac{1}{2}\times \frac{1}{6}=\frac{1}{12}$ s.

Answer: $\frac{1}{12}\mathrm{s}$