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Calculate the redshift caused by a neutron star with a radius of 11 km and mass of 5.2 x 1030 kg.

Calculate the redshift caused by a neutron star with a radius of 11 km and mass of 5.2 x 1030 kg.

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Calculate the redshift caused by a neutron star with a radius of 11 km and mass of 5.2 x 1030 kg.
Transcribed Image Text:Calculate the redshift caused by a neutron star with a radius of 11 km and mass of 5.2 x 1030 kg.
Expert Solution
Concept and Principle:
  • As per general relativity when a photon leaves a gravitational well its wavelength will increase causing redshift. This effect is called gravitational redshift.

 

  • Redshift takes place when the frequency of a photon decreases increasing the wavelength and moving it into the redder region. Massive gravitational sources like black holes and neutron stars are capable of causing redshift.

 

  • The gravitational redshift caused by a strong source is given by,

z=11−2GMrc2−1

Here z is the gravitational redshift, G is Newton’s gravitational constant, M is the mass of the object, r is the photon’s starting distance from M, and c is the speed of light.

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