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The neutral sodium line in Sun's spectrum has a wavelength of 5896 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.

The neutral sodium line in Sun's spectrum has a wavelength of 5896 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.

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The neutral sodium line in Sun's spectrum has a wavelength of 5896 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.
Transcribed Image Text:The neutral sodium line in Sun's spectrum has a wavelength of 5896 Å. Find the wavelength shift of this line in the solar spectrum due to the gravitational shift.
Expert Solution
Concept and Principle:
  • When a photon is moving away in a gravitational field it will lose energy. This will increase the wavelength of the photon which causes a redshift in the wavelength.

 

  • 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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