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Concerning your response to the Doppler
effect question posed by Anthony L., the frequency
of the sound wave detected by an observer as the
car retreated at the speed of sound would actually
be one-half the emitted frequency (not a frequency
approaching zero). It's interesting to note that
with the relativistic Doppler effect an object that
recedes with a speed approaching "c" would have an
observed frequency approaching zero.
Dave S.
2) If a car sounds a horn. If you hear 450 Hz as it approaches and 350Hz
as it recedes, the actual frequency is about 394 Hz (not 400 Hz).the
Conceptually, why isn't the Doppler effect result symmetric for when
sound (or observer) is approaching/receding the observer (sound)?
Because 1/x is not a linear function of x.
Consider the extreme case of the car moving very near Mach 1.
The sound of the retreating car goes to frequency=0, a 100% change.
The sound of the advancing car goes to frequency=infinity, a much larger
change.