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Question

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

A
15.3GHz
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B
10.1GHz
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C
12.1GHz
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D
17.3GHz
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Solution

The correct option is C 17.3GHz
According to Doppler's law, when source or observer is in relative motion, apparent frequency is slightly different from real one;

ν=10c+νcν

Here,
ν=10    1+12112

ν=10×3GHz

ν=17.3GHz



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