Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 21, Problem 15Q
To determine

The maximum mass of a neutron star and the effect of neutrons repulsion force on this mass.

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The typical core-collapse supernova has an energy budget of about 1046 J. This energy comes from the gravitational potential energy of an inner core with mass Mic, which collapses from an initial radius of 5 x 106 m down to the final radius of 50 km. Estimate Mic, in solar masses, for this to be a realistic energy source of the core-collapse supernova. You may assume that the density before the collapse is uniform. Discuss briefly how a Type la supernova is different from a core-collapse supernova from a massive star?
2. Consider a neutron star of radius of 10 km and a mass of 1.4 M⊙ that has a surface layer of pure 1H. (a) For the given parameters, compute the luminosity and wavelength of peak emission of a neutron star shining at Eddington Luminosity in the rest frame of the neutron star. Assume black body emission. (b) What is the impact of a) the gravitational redshift and b) the time delay, both caused by general relativity, on the observed wavelength? (c) What is the wavelength and luminosity seen by an observer at large distance (much larger than neutron star radius)?
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