A radio wave of 0.6 m is detected from a galaxy that is moving away at a rate of 0.87c. Estimate the wavelength of the signal when it was emitted.

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A radio wave of 0.6 m is detected from a galaxy that is moving away at a rate of 0.87c. Estimate the wavelength of the signal when it was emitted.
Transcribed Image Text:A radio wave of 0.6 m is detected from a galaxy that is moving away at a rate of 0.87c. Estimate the wavelength of the signal when it was emitted.
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Concept and Principle:
  • Light also shows wavelike properties and exhibits Doppler shift. Since light does not require any medium to travel the Doppler shift in light only depends on the relative velocity of the observer and source.

 

  • When the source is moving away from the observer the wavelength will be longer and is called redshift. When the source is moving toward the observer the wavelength will be shorter and is called blueshift.

 

  • The observed wavelength is given by,

λ=λ01+vc1vc

Here λ is the observed wavelength, λ0 is the emitted wavelength, v is the relative velocity, and c is the speed of light.

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