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Mechanical Properties Of Fluids

Question
CBSEENPH11020353
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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)

  • 17.3 GHz

  • 15.3 GHz

  • 10.1 GHz

  • 12.1 GHz

Solution

A.

17.3 GHz

Doppler effect in light (speed of observer is not very small compared to speed of light)
straight f to the power of 1 space equals square root of fraction numerator 1 space plus straight V divided by straight C over denominator 1 minus straight V divided by straight C end fraction end root straight f subscript source space equals space square root of fraction numerator 1 space plus space 1 divided by 2 over denominator 1 minus 1 divided by 2 end fraction end root left parenthesis 10 space GHz right parenthesis space equals space 17.3 space GHz

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