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Posted by on Thursday, April 8, 2010 at 11:01pm.

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)

  • Physics - , Friday, April 9, 2010 at 2:42am

    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
    http://en.wikipedia.org/wiki/Relativistic_Doppler_effect
    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

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