A
radar transmitter T is fixed to a reference frame
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Solution: Click For PDF Version (a)
As shown in
the figure reference frame
(b) We next calculate the period of radar pulses measured by the receiver R of S.
We note that
as the transmitter of radar waves is moving with speed u with
respect to S, it would have moved by distance
as the radar pulse travel with speed of light c. Therefore, the period of light pulses measured by the radar fixed in S will be
(c)
The
difference between
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that is moving to the right with speed u
relative to the reference frame S (see
figure). A mechanical
timer (essentially a
clock) in frame
(measured in
of the timer relative to observer A, who
is fixed in frame S. (b) We
have to show that the receiver R would observe the time interval
between pulses arriving from T, not
as
to the right by the time transmitter in
,
and
,
is Doppler shifted with respect to
.
The frequency of radar pulses measured by
,
and frequency
of electromagnetic waves as measured by
