Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 20, Problem 5CC
To determine
Whether electron degeneracy pressure can support a white dwarf that has a mass of 1.4 M☉, and the comparison of the size of Earth with the white dwarf.
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A typical white dwarf has a mass of about 1.0MSunMSun and the radius of Earth (about 6400 kilometers). Calculate the average density of a white dwarf, in kilograms per cubic centimeter.
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A 1.8 M neutron and a 0.7 M white dwarf have been found orbiting each other with a period of 28 minutes. What is their average separation? Convert your answer to units of the Suns radius, which is 0.0047 AU. (hint: Use the version of Keller's third law for the binary stars Ma + Mb = a^3/p^2 ; make sure you express quantities in unites of AU, solar masses, and years. NOTE: a year is 3.2 x 10^7 s)
___________ solar radii
Chapter 20 Solutions
Universe
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- What is the average density of the white dwarf in Exercise 23.35? How does it compare to the average density of Earth?arrow_forwardConvert the average mass density in gm/cm-3 of a M = 0.5 Msun R = 0.015 Rsun white dwarf to the average number density of electrons, ne , in cm-3. Let Z/A = 0.5. What is the uncertainty in their momentum, Δp, in g-cm/s? (Hint: you'll need to find the average separation, Δx, between the electrons)arrow_forwardQ7// a- Estimate the density of a white dwarf if it has a solar mass packed into a sphere with approximately 10² Ro b- For a white dwarf of density 1.0 x 10° g/cm3, and Z/A = 0.5, estimate the degeneracy pressure and compare it with the thermal pressure of a gas at a temperature of 1.0 x10' K.arrow_forward
- As we have discussed, Sirius B in the Sirius binary system is a white dwarf with MB ∼ 1M , LB ∼ 0.024L ,and rB ∼ 0.0084r . For such a white dwarf, the temperature at the center is estimated to be ∼ 107 K.If Sirius B’s luminosity were due to hydrogen fusion, what is the upper limit of the mass fraction of thehydrogen in such a white dwarf?Step 1: Calculate the observed energy production rate per unit mass (remember luminosity is energy outputper unit time).Step 2: Use the per unit mass energy generation rate of hydrogen fusion (via PP chain) to estimate thepossible hydrogen mass fraction given the condition at the center of the white dwarf.arrow_forwardHow does a white dwarf differ from a neutron star? How does each form? What keeps each from collapsing under its own weight?arrow_forwardA supernova can eject material at a velocity of 10,000 km/s. How long would it take a supernova remnant to expand to a radius of 1 AU? How long would it take to expand to a radius of 1 light-years? Assume that the expansion velocity remains constant and use the relationship: expansiontime=distanceexpansionvelocity .arrow_forward
- How would the spectra of a type II supernova be different from a type Ia supernova? Hint: Consider the characteristics of the objects that are their source.arrow_forwardDescribe the evolution of a white dwarf over time, in particular how the luminosity, temperature, and radius change.arrow_forwardHow would a white dwarf that formed from a star that had an initial mass of 1 MSunbe different from a white dwarf that formed from a star that had an initial mass of 9 MSun?arrow_forward
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