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## Answered question

2022-05-13

A sparrow chases a crow with a speed of 4.0 m/s, while chirping at a frequency of 850.0 Hz. What frequency of sound does the crow hear as he flies away from the sparrow with a speed of 3.0 m/s?

### Answer & Explanation

Mollie Roberts

Beginner2022-05-14Added 21 answers

By the Doppler effect of sound waves, the new frequency f' observed is given by
${f}^{\prime }=f\left(\frac{v±{v}_{0}}{v±{v}_{s}}\right)$
where f'> f for relative motion of source and observer towards each other and
f'So in this particular case, and taking the speed of sound in air to be v=340m/s,
and assuming the speed of the crow is 4m/s and that of the sparrow 3m/s (as question is a bit unclear), we get
${f}^{\prime }=850\left(\frac{340-4}{340+3}\right)=832,653Hz$

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