(a) Show that Eq. (1630) can be written as (b) Use the binomial theorem to show that...

Question:

(a) Show that Eq. (1630) can be written as

(b) Use the binomial theorem to show that if v « c, this is approximately equal to
fr=fs(1-u/c) -1/2
(c) A pilotless reconnaissance aircraft emits a radio signal with a frequency of 243 MHz. It is flying directly toward a test engineer on the ground. The engineer detects beats between the received signal and a local signal also of frequency 243 MHz. The beat frequency is 46.0 Hz. What is the speed of the aircraft? (Radio waves travel at the speed of light, c = 3.00 X 108 m/s.)