Engineering
Physics
Dopplers Effect
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 of the microwave measured by the observer?(speed of light = 3 × 108 ms–1)

12.1 GHz

17.3 GHz

15.3 GHz

10.1 GHz

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Solution

Assume the abserver and source are moving away from each other with relative velocity v (v is negetive if the abserver and the source are moving towards each other)

fsfo=1+β1–β           ... (1) 

β =vc = C/2C =–12    ....(2)

Putting (2) in (1)

fo = 17.3 GHz