A handclap on stage in an amphitheater sends out sound waves that scatter from t

Question

A handclap on stage in an amphitheater sends out sound waves that scatter from terraces of width w = 0.967 m (see the figure). The sound returns to the stage as a periodic series of pulses, one from each terrace; the parade of pulses sounds like a played note, Assuming that all the rays in the figure below are horizontal, find the frequency (in Hz) at which the pulses return (that is, the frequency of the perceived note), If the width w of the terraces were smaller, would the frequency be higher or lower (1 denotes higher, 0 denotes lower)? (Note: Assume the speed of sound in air = 343 m/s.) Click if you would like to Show Work for this question:

Explanation / Answer

a)177 hz.

Distance travelled would be 2w.
time taken would be 2w/speed os sound wave.
1/time taken would be frequency

b)1.higher frequency.

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