Concept explainers
The beat frequency.
Answer to Problem 72P
The beat frequency is
Explanation of Solution
The velocity of the bat is
Consider the bat to be the source and write the expression for Doppler shift
Here,
Since the velocity of bat is in the direction of propagation of the wave,
Substitute
Rearrange
Consider the bat to be the receiver and write the expression for Doppler shift
Here,
Since the velocity of bat is in the direction of propagation of the wave,
Substitute
Substitute (II) in (IV)
Rearrange
Write the expression for beat frequency between the emitted frequency and the echo.
Here,
Substitute (VI) in (V)
Substitute
Thus, the beat frequency is
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Chapter 12 Solutions
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