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Q. A police car moving at $40 \,m / s$ chases a thief running away at speed of $30 \,m / s$. The track is perpendicular to a stiff cliff as shown. The police man blows a horn at $40 \,Hz$. If sound has a speed of $340 \,m / s$, what is the beat frequency (in $Hz$ ) heard by the thief?Physics Question Image

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Solution:

$f_{1}=\frac{340-30}{340-40}$
$f_{2}=\frac{340+30}{340-40}$
$f_{b}=\frac{60}{300} \times 40=8\, Hz$