A radar transmitter T is fixed to a reference frame S'

Chapter 37, Problem 84

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A radar transmitter T is fixed to a reference frame S' that is moving to the right with speed v relative to reference frame S (Fig. 37-33). A mechanical timer (essentially a clock) in frame S', having a period TO (measured in S'), causes transmitter T to emit timed radar pulses, which travel at the speed of light and are received by R, a receiver fixed in frame S. (a) What is the period Tof the timer as detected by observer A, who is fixed in frame S? (b) Show that at receiver R the time interval between pulses arriving from Tis not Tor TO, but (c) Explain why receiver R and observer A, who are in the same reference frame, measure a different period for the transmitter. (Hint: A clock and a radar pulse are not the same thing.)

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