Answered: An x-ray photon escapes the accretion…

An x-ray photon escapes the accretion disk of a black hole of 5 solar masses and a radius of 14.7 km. Calculate the redshift caused by the gravity of the black hole.

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A gamma ray burst delivers approximately 5.0 X10-6 joules/m2 to a detector on an orbiting space telescope. Assuming that the red shift indicates that the source is 5 X109 light years away (1 yr =3.16X107 seconds) and that the energy at the detector has been corrected for the redshift, what is the energy output of the source in units of 1047 joules and how does it compare to the rest energy of the Sun. The speed of light is 3.0 X 108 m/sec. A year is 3.16 X 107 sec. The mass of the Sun is 2 X 1030 kg. Rest mass energy is E=mc2. The surface area of a sphere is 4πr2.
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