Loose Leaf For Explorations:  Introduction To Astronomy
Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 15, Problem 8TY

(15.3) The Schwarzschild radius of a body is

  1. (a) the distance from its center at which nuclear fusion ceases.
  2. (b) the distance from its surface at which an orbiting companion will be broken apart.
  3. (c) the maximum radius a white dwarf can have before it collapses.
  4. (d) the maximum radius a neutron star can have before it collapses.
  5. (e) the radius of a body at which its escape its velocity equals the speed of light.
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A light of wavelength 620 nm is emitted from the following four places. What wavelength is observed for this light by an observer a long distance away? (The objects are not moving with respect to the observer) The surface of a 0.84 solar mass white dwarf that has a radius of 708000 km: ? The surface of a 2.52 solar mass neutron star that has a radius of 14.2 km: 2 Schwarzschild radii from a 20 solar mass black hole: ? 1.048 Schwarzschild radii from a 20 solar mass black hole: ?
After the Sun exhausts its nuclear fuel, its ultimate fate may be to collapse to a white dwarf state. In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth.   (a) Calculate the average density of the white dwarf. (kg/m3)(b) Calculate the surface free-fall acceleration.( m/s2)(c) Calculate the gravitational potential energy associated with a 1.36-kg object at the surface of the white dwarf.( J)
A white dwarf in a binary system has a radius of 7000 km and a mass equal (minus an infinitesimal amount) to the Chandrasekhar limit of $1.4 M_{\text {sun }}$. The companion transfers an infinitesimal amount of mass to the white dwarf which is enough to send it over the Chandrasekhar limit and it collapses to a neutron star with a radius of 14 km . Calculate the amount of gravitational potential energy released. NOTE: we can assume that the mass of the neutron star once is triggered and the mass of the WD are both equal to the Chandrasekhar mass in this case.
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