Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 19, Problem 3Q
To determine
About red dwarf and the reason behind the consumption of hydrogen, during a thermonuclear reaction, from the outer layers of a red dwarf.
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You discover a binary star system in which one member is a 15 solar-mass main-sequence star and the other star is a 10
solar-mass giant. Why should you be surprised, at least at first?
A. It doesn't make sense to find a giant in a binary star system.
B. The two stars in a binary system should both be at the same point in stellar evolution; that is, they should either both
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C. The two stars should be the same age, so the more massive one should have become a giant first.
D. The odds of ever finding two such massive stars in the same binary system are so small as to make it inconceivable
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E. A star with a mass of 15 solar-mass is too big to be a main-sequence star.
For a main sequence star with luminosity L, how many kilograms of hydrogen is being converted into helium per second? Use the formula that you derive to estimate the mass of hydrogen atoms that are converted into helium in the interior of the sun (LSun = 3.9 x 1026 W).
(Note: the mass of a hydrogen atom is 1 mproton and the mass of a helium atom is 3.97 mproton. You need four hydrogen nuclei to form one helium nucleus.)
What is the escape velocity (in km/s) from the surface of a 1.1 M. neutron star? From a 3.0 M. neutron star? (Hint: Use the formula for escape velocity, V̟ = V
2GM
; make sure to
express quantities in units of meters, kilograms, and seconds. Assume a neutron star has a radius of 11 km and assume the mass of the Sun is 1.99 x 1030
kg.)
1.1 M neutron star
km/s
3.0 M. neutron star
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If a neutron star has a radius of 12 km and a temperature of 8.0 x 10° K, how luminous is it? Express your answer in watts and also in solar luminosity units. (Hint: Use the relation
Use 5,800 K for the surface temperature of the Sun. The luminosity of the Sun is 3.83 x 1026 w.)
luminosity in watts
luminosity in solar luminosity units
Chapter 19 Solutions
Universe
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