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Question

An observer is moving with half the speed of light towards a stationary microwave source emitting waves at frequency 10 GHz. What is the frequency in GHz of the microwave measured by the observer?
(speed of light =3×108 ms1). Answer the nearest integer.


Solution

Speed of observer V=C2
where speed of Microwave is C
Original frequency of source is given as f0=10 GHz
Using relativistic Doppler effect in case observer moves towards the stationary source.
Apparent frequency measured by observer f=f0C+vCv
f=10C+(C/2)C(C/2)
f=10(3/2)C(1/2)C
F=10×1.73 GHz
F=17.3 GHz
 

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