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The terrestrial oxygen line in Sun's spectrum has a wavelength of 7594 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.

The terrestrial oxygen line in Sun's spectrum has a wavelength of 7594 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.

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The terrestrial oxygen line in Sun's spectrum has a wavelength of 7594 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.
Transcribed Image Text:The terrestrial oxygen line in Sun's spectrum has a wavelength of 7594 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.
Expert Solution
Concept and Principle:
  • When light is moving away from a gravitational source its energy will decrease. This will decrease the frequency of the photon.

 

  • When the frequency is decreased the wavelength will increase causing redshift. Thus the photon will be redshifted when it is moving away from a gravitational source.

 

  • The change in wavelength due to gravity is given by,

Δλλ=GMRc2

Here G is the universal gravitational constant, M is the mass of the gravitational source, R is the radius of the gravitational source, and c is the speed of light.

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