A photon of 640 nm is released from the surface of a neutron star of radius 10 km and a mass of 6 x 1030 kg. What will be the redshifted frequency detected far away from the neutron star due to its gravity?
A photon of 640 nm is released from the surface of a neutron star of radius 10 km and a mass of 6 x 1030 kg. What will be the redshifted frequency detected far away from the neutron star due to its gravity?
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Concept and Principle:
- Gravitational redshift takes place when a photon leaves a gravitational well. As per general relativity due to space-time curvature, the frequency of the photon will reduce as it moves away from a gravitational source. This causes the gravitational redshift.
- The gravitationally redshifted frequency is given by,
Here λrest is the wavelength at the source, 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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