a) As the speed of the bat is very much less than the speed of sound, we haveOriginally Posted by tacubo
the frequency as heard by the insect would be:
that is there is an up-Doppler shift (This is in if is in ).
b) The up-shift is twice that heard by the insect so the frequency heard by
the bat is:
c) It depends only on the closing speed (as long as this is very much less
than the sped of sound).
Look at your notes for the sound speed dependence of temperature , it should
be something like:
where is the temperature in Celsius.
Note: Bats often transmit a wideband chirp with a bandwidth much greater
than the targets Doppler, which as a result is virtually unobservable. But the
result is that the range can be measured with greater precision that the
pulse length, which itself can be longer in consequence so that a single
transmissions can contain more energy increasing the detection range,
and resistance to moth jamming signals.
Bio-sonar:- a subject more facinating than you might imagine