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The ionized calcium line in Sun's spectrum has a frequency of 7.526×10¹4 Hz. Find the frequency shift of this line in the solar spectrum due to the gravitational shift.

The ionized calcium line in Sun's spectrum has a frequency of 7.526×10¹4 Hz. Find the frequency shift of this line in the solar spectrum due to the gravitational shift.

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The ionized calcium line in Sun's spectrum has a frequency of 7.526×10¹4 Hz. Find the frequency shift of this line in the solar spectrum due to the gravitational shift.
Transcribed Image Text:The ionized calcium line in Sun's spectrum has a frequency of 7.526×10¹4 Hz. Find the frequency shift of this line in the solar spectrum due to the gravitational shift.
Expert Solution
Concept and Principle:
  • As per general relativity gravity affect the path of light. A gravitational source sends the space around it. Thus a photon leaving a gravitational source will lose energy.

 

  • When this happens the frequency of the photon will reduce. This will increase the wavelength and the photon will be redshifted.

 

  • The frequency shift due to gravity is given by,

Δff=−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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