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 ms−1). 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′=f0√C+vC−v f′=10√C+(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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