Foundations of Astronomy, Enhanced
Foundations of Astronomy, Enhanced
13th Edition
ISBN: 9781305980686
Author: Michael A. Seeds; Dana Backman
Publisher: Cengage Learning US
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Chapter 14, Problem 19RQ
To determine

Decide whether black holes are supported by degeneracy pressure or not.

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Black holes radiate emission through Hawking radiation: (a) Calculate the luminosity (in W) of a 100 solar mass black hole? (b) Calculate the fractional differences in temperature and luminosity between a 100 and 10 solar mass black hole? (c) Calculate the mass of a black hole which has peak radiation at optical wavelength (500 nm)?
What is the orbital period of a bit of matter in an accretion disk that is located 4 ✕ 105 km from a 87 M black hole? Use the circular orbit velocity formula.
As a mass m of gas falls into a black hole, at most 0.1mc2 is likely to emerge as radiation; the rest is swallowed by the black hole. Show the Eddington luminosity for a black hole of mass M is equivalent to 2*10-9 Mc2yr-1. Explain why we expect the black hole's mass to grow by at least a factor of e every 5*107 years. Where Edding Luminicity is defined as LE=(4piGMmpc)/(sigmaT), where G is the gravitational constant, M is the mass of the black hole, mp is the mass of a proton, c is the speed of light, and sigmaT is Thomson scattering where sigmaT=6.653*10-25 cm2.
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