15.27 A bat is flitting about in a cave, navigating via ultrasonic beeps. Assume that the sound emission frequency of the bat is 40 kHz. During one fast swoop directly toward a flat wall surface, the bat is moving at 0.03 times the speed of sound in air. What frequency does the bat hear reflected off the wall?

2 Views|Posted 8 months ago
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8 months ago

Ultrasonic beep frequency emitted by bat, ν = 40 kHz

Velocity of the bat, vb = 0.03v, where v = velocity of sound in air

The apparent frequency of the sound striking the wall is given as:

ν'=(vv-vb ) ν = (vv-0.03v ) *40 = 400.97 kHz = 41.24 kHz

This frequency is reflected by the stationary wall ( vs=0) towards the bat

The frequency ( ν'')ofthereceivedsoundisgivenbytherelation:

ν''=(v+vbv ) ν' =

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Physics Waves 2021

Physics Waves 2021

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