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 14.00 m/s and the small bat flies at 3.640m/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 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 34.90 kHz, what return frequency will the large bat detect? Calculate the final frequency to four significant figures.

Explanation / Answer

large bat velocity, v1=14 m/sec

small bat velocity, v2=3.64 m/sec

speed of the sound is, V=343 m/sec

initial frequency f=34.9 kHz

1)

highest frequency to lowest frequency

C,

A,

D,

B

2)

in case of C:

frequency observed by the small bat is,

f'=f*(V+V1)/(V-V2)

f'=34.9*10^3*(343+14)/(343-3.6)

f'=36.71*10^3 Hz

frquency observed by the large cat after reflcetion of sound from small bat is,

f''=f'*(V+V2)/(V-V1)

f''=36.71*10^3*((343+3.6)/(343-14)

f''=38.67*10^3 Hz

f''=38.67 kHz ------is answer

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