siren, \(f=800 \mathrm{Hz}\)
Speed of observer, \(u=2 \mathrm{m} / \mathrm{s}\)
Velocity of sound, \(v=320 \mathrm{m} / \mathrm{s}\)
No. of beats heard per second \(=?\)
No. of extra waves received by the observer
per second \(=\pm 4 \lambda\)
\(\therefore \quad\) \(Na\) of \(beats\) \(/\) \(sec\)
\({=\frac{2}{\lambda}-\left(-\frac{2}{\lambda}\right)=\frac{4}{\lambda}}\)
\({=\frac{2 \times 2}{\frac{320}{800}}\left(\because \lambda=\frac{V}{f}\right)}\)
\( = \frac{{2 \times 2 \times 800}}{{320}} = 10\)