posted by Archillis .
A radio station broadcasting on a frequency of 106 MHz is received by an astronaut headed toward the station at a speed 4.0×107 m/s. To what frequency must the astronaut's radio be tuned?( use MHz for final unit answers)
Use the relavistic doppler shift formula.
It does not depend upon which object is moving; only the relative velocity matters. The formula can be found at
and probably also in your textbook.
In your case, the relative velocity is 0.133 of the speed of light.
The received frequency will be higher by a factor
sqrt(1.133/0.867) = 1.143