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# The solution to Doppler effect

Two submarines are underwater and approaching each other head-on. Sub A has a speed of 13 m/s and sub B has a speed of 7 m/s. Sub A sends out a 1150 Hz sonar wave that travels at a speed of 1522 m/s.

(a) What is the frequency of the sound detected by sub B?
______Hz

(b) Part of the sonar wave is reflected from B and returns to A. What frequency does A detect for this reflected wave?
_____Hz

#### Solution Preview

Please see the attachment for proper diagrams.

Dopplerâ€™s effect
Dopplerâ€™s effect is about apparent change in the frequency of sound wave as observed by an observer when the source of the wave and the observer are moving.

Vs Vo
-----------> ---------->
Source of wave -----------> V Observer

Let us consider a source of sound moving right with velocity Vs and an observer also moving right with velocity Vo. The source emits a wave of velocity V and frequency f. Then, as ...

#### Solution Summary

Detailed step by step solution provided.

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