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 49Q
To determine
To write:
The summary of the evidence that gamma ray bursts originated from a process involving a star in a distant galaxy.
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1.2
1.0
0.8
0.6
Cosmic background
data from COBE
0.4
0.2
0.0
0.5
10
Wavelength A in mm
c)
Background (CMB) undertaken by the COBE satellite. Use this diagram to estimate the
current temperature of the CMB. Based on your estimate, what would the temperature of
the CMB have been at a redshift of z = 5000?
The left hand diagram above shows the results from observations of the Cosmic Microwave
Radiated Intensity per Unit Wavelength
(16° Watts/m per mm)
Problem 2: Black hole – the ultimate blackbody
A black hole emits blackbody radiation called Hawking radiation. A black hole with mass
M has a total energy of Mc², a surface area of 167G²M² /c*, and a temperature of
hc³/167²KGM.
a) Estimate the typical wavelength of the Hawking radiation emitted by a 1 solar
mass black hole (2 × 103ºkg). Compare your answer to the size of the black hole.
b) Calculate the total power radiated by a one-solar mass black hole.
c) Imagine a black hole in empty space, where it emits radiation but absorbs nothing.
As it loses energy, its mass must decrease; one could say "evaporates". Derive a
differential equation for the mass as a function of time, and solve to obtain an
expression for the lifetime of a black hole in terms of its mass.
Astronomers us the P-Cygni line features in a spectrum of a supernova to...
Select one alternative:
...measure the velocity of the supernova ejecta.
...to measure the rotation speed of the star that exploded.
...measure the composition of the supernova ejecta more accurately than with other lines.
...to measure the mass of the neutron star or black hole formed in the supernova.
Chapter 21 Solutions
Universe: Stars And Galaxies
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- How did astronomers finally solve the mystery of what gamma-ray bursts were? What instruments were required to find the solution?arrow_forwardWhere in the Galaxy would you expect to find Type II supernovae, which are the explosions of massive stars that go through their lives very quickly? Where would you expect to find Type I supernovae, which involve the explosions of white dwarfs?arrow_forwardA stellar black hole may form when a massive star dies. The mass of the star collapses down to a single point. Imagine an astronaut orbiting a black hole having eight times the mass of the Sun. Assume the orbit is circular. a. Find the speed of the astronaut if his orbital radius is r = 1 AU. b. Find his speed if his orbital radius is r = 11.8 km. c. CHECK and THINK: Compare your answers to the speed of light in a vacuum. What would the astronauts orbital speed be if his orbital radius were smaller than 11.8 km?arrow_forward
- Explain how some stars form in binary systems. ...arrow_forwardWhat characteristics must a binary star have to be a good candidate for a blackhole? Why is each of these characteristics important?arrow_forwardWhat is the peak wavelength (in nm) of a neutron star's luminosity if its temperature is 106 K?arrow_forward
- 2GM What is the escape velocity (in km/s) from the surface of a 1.6 Mo neutron star? From a 3.0 M. neutron star? (Hint: Use the formula for escape velocity, V. ; 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.) 1.6 Mo neutron star km/s 3.0 Me neutron star km/sarrow_forwardConsideration of the total energy in a radio lobe of an AGN implies that the energy is distributed evenly between the particles in the lobes and the magnetic field. This implies that the magnetic field scales with observed luminosity L as Select one: a. [417 O b. is independent of L ○ c. 11/11 O d. 12/7 ○ e. Larrow_forwardCalculate your body’s volume.Next, assume that the nuclei are densely packed. Atomic distances are replaced by the radii of the nuclei. What would your body’s volume be like?How tall would you be? Could you become a black hole?arrow_forward
- Find the speed for a star in which this line appears at wavelength 122.5 nmnm. Express your answer to three significant figures and include the appropriate units.arrow_forwardAstronomers can determine the heat of various areas of the universe by making observations about energy they emit. Gamma rays can be found in areas where there is a lot of star formation occurring. What would you guess about the temperature of these areas? Explain why.Do you think there would be a lot of particles present? Explain why.arrow_forwardWhich of the following is least reasonable regarding novae and supernovae? Group of answer choices A type I (carbon-detonation) supernova results when a white dwarf in a binary system absorbs enough mass from its companion to push it over the Chandrasekhar limit. A type II supernova results from any supermassive star at the end of its life, when it runs out of fusion energy and collapses. A nova can occur multiple times in a binary system. If a white dwarf in a binary system absorbs enough mass to go beyond the Chandrasekhar limit, the white dwarf explodes as a supernova. The reason a type I supernova does not produce hydrogen lines is that the explosion originates from a stellar core (white dwarf), where hydrogen has already fused to produce heavier elements (so there is no longer any hydrogen). More supernovae are observed in the Milky Way because they are much closer to us than those in other galaxies.arrow_forward
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