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An engine moving away from a vertical cliff blows a born at a frequency f. Its speed is $0.5 \%$ of the speed of sound in air. The frequency of the reflected sound received at the engine is
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The correct answer is:
$0.990 \mathrm{f}$
$f_{1}=f_{0}\left[\frac{v}{v+v_{s}}\right]$
$f_{R}=f_{1}\left[\frac{v-v_{s}}{v}\right]=f_{0}\left[\frac{v-v_{s}}{v+v_{s}}\right]=\left[1-\frac{2 v_{s}}{v}\right] f$
$=0.990 f$
$f_{R}=f_{1}\left[\frac{v-v_{s}}{v}\right]=f_{0}\left[\frac{v-v_{s}}{v+v_{s}}\right]=\left[1-\frac{2 v_{s}}{v}\right] f$
$=0.990 f$
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