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 2.540 m/s and the small bat flies at 15.00 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. highest frequency lowest frequency CADB In scenario C, some of the large bat's signal reflects off of the sma bat and returns to the large bat, warning it of the smaller bat's presence. If the initial signal has a frequency of 24.30 kHz, what return frequency will the large bat detect? Calculate the final frequency to four significant figures. C Number kHz

Explanation / Answer

f = Fo•(V + Vr)/(V + Vs) Doppler
Vr +ve if rcvr moving toward srce; Vs -ve if srce moving toward rcvr

A: f = Fo*(343.0 - 15.0) / (343.0 - 2.540) = 0.9634 * Fo
B: f = Fo*(343.0 - 15.0) / (343.0 + 2.540) = 0.9492 * Fo
C: f = Fo*(343.0 + 15.0) / (343.0 - 2.540) = 1.0515 * Fo
D: f = Fo*(343.0 + 15.00) / (343.0 + 2.540) = 1.0360* Fo

I get C-D-A-B.

Then
f = 24.30kHz * (343.0 + 15.00)*(343.0 + 2.540) / [(343.0 - 15.00)*(343.0 - 2.540)]
f = 24.30kHz * 1.1077 = 26.917 kHz

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