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When a distant galaxy is observed the violet hydrogen line of 410.173 nm was recorded at 610 nm. Estimate recessional velocity of the observed galaxy.

When a distant galaxy is observed the violet hydrogen line of 410.173 nm was recorded at 610 nm. Estimate recessional velocity of the observed galaxy.

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When a distant galaxy is observed the violet hydrogen line of 410.173 nm was recorded at 610 nm. Estimate recessional velocity of the observed galaxy.
Transcribed Image Text:When a distant galaxy is observed the violet hydrogen line of 410.173 nm was recorded at 610 nm. Estimate recessional velocity of the observed galaxy.
Expert Solution
Concept and Principle:
  • When it comes to light the Doppler effect has to be modified. Light does not require any medium to travel. Thus we need a relativistic Doppler effect that only depends on the relative velocity of the source and observer.

 

  • The relativistic doppler shift in wavelength is given by,

λ=λ01−vc1+vc

Here λ is the observed wavelength, λ0 is the actual wavelength, v is the relative speed between observer and source, and c is the speed of light.

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