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 13Q
To determine
(a)
Comparison between the density of matter in a neutron with the average density of a neutron star.
To determine
(b)
The behaviour of neutrons within the star
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If our Sun (mass = 1.99××103030 kg, radius = 6.96××1088 m) were to collapse into a neutron star (an object composed of tightly packed neutrons with roughly the same density as neutrons within a nucleus, ρnucleusρnucleus = 2.3××101717 kg/m33), what would the new radius of our “neutron-sun” be?
What is the average density of a neutron star that has the same mass as the sun if the radius of the neutron star is 41.591 km?(express the answer in the proper SI unit and without scientific notation)
Consider a star whose density increases toward its center. If we model this star as a series of concentric shells (each shell having its own uniform density), then the equation of mass continuity relates the mass in each shell to the density and volume of the shell. The star has the following two regimes:
Core: ⍴r = ⍴0 from r = 0 to r = r0
Envelope: ⍴r = ⍴0(r/r0)-2 from r = r0 to r = R
Integrate the equation of mass continuity (see provided image) over the appropriate ranges to find expressions for the masses in the core and in the envelope. Add the two expressions to find an alegbraic expression for the total M inside R.
Chapter 21 Solutions
Universe: Stars And Galaxies
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