In each of the four scenarios to the right, a large bat lets out a short burst o

Question

In each of the four scenarios to the right, a large bat lets out a short burst of ultrasonic sound, which the smaller bat hears a moment later. If the large bat flies at 3.860 m/s and the small bat flies at 12.20 m/s, rank the frequency that the smaller bat detects in the four scenarios, from highest to lowest. Assume that the speed of sound is 343.0 m/s. In scenario C, some of the large bat's signal reflects off of the small bat and returns to the large bat, warning it of the smaller bat's presence. If the initial signal has a frequency of 56.10 kHz, what return frequency will the large bat detect? Calculate the final frequency to four significant figures.

Explanation / Answer

Highest to lowest: C, D,A, B

Frequency is higher when 1) detector is approaching emitter 2) emitter is approaching detector

In scenario C, Vlarge= 3.860m/s Vsmall: 12.20m/susing doppler effect,

the frequency the large bat receives is:

f= f(original){ (C+Vd)/(C-Ve)} {(C+Vnew dectector)/(C-Vnew emitter)}

as large bat emits, detector is small bat and emitter is large bat. But when the sound returns,

the detector is large bat and emitter is small bat.

f= 56100 {(340+12.2)/(340-3.860)}{(340+3.860)/(340-12.2) = 61660Hz

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