Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 24, Problem 28Q
To determine
The Schwarzchild radius of a black hole and compare the size with the solar system.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What is the Schwarzschild radius (in km) of a 6Msun black hole?
What fraction of the Earth's radius is this?
What percent of the speed of light (2.998 x 108 m/s) is the escape velocity at the Schwarzschild radius?
Part 1 of 3
The Schwarzschild radius of a black hole is given by:
2GM
Rs
=
c2
so for the given mass,
2G(6)(Msun)
Rs
c2
where M.
Sun = 1.99 x 1030 kg.
Then convert this into kilometers using 1 km = 1,000 m.
Rs
km
What is the orbital period (in s) of a bit of matter in an accretion disk that is located 6 ✕ 105 km from a 99 M black hole?
Hint:
Use the circular orbit velocity formula,
Vc =
GM
r
.
s
The Schwarzschild radius of a certain black hole is 30n
kilometers. The
mass of this black hole, in units of solar masses, Mo, is given by
M x aMo
What is the value of a, if n = 5 (give only an integer value).
Chapter 24 Solutions
Universe: Stars And Galaxies
Ch. 24 - Prob. 1QCh. 24 - Prob. 2QCh. 24 - Prob. 3QCh. 24 - Prob. 4QCh. 24 - Prob. 5QCh. 24 - Prob. 6QCh. 24 - Prob. 7QCh. 24 - Prob. 8QCh. 24 - Prob. 9QCh. 24 - Prob. 10Q
Ch. 24 - Prob. 11QCh. 24 - Prob. 12QCh. 24 - Prob. 13QCh. 24 - Prob. 14QCh. 24 - Prob. 15QCh. 24 - Prob. 16QCh. 24 - Prob. 17QCh. 24 - Prob. 18QCh. 24 - Prob. 19QCh. 24 - Prob. 20QCh. 24 - Prob. 21QCh. 24 - Prob. 22QCh. 24 - Prob. 23QCh. 24 - Prob. 24QCh. 24 - Prob. 25QCh. 24 - Prob. 26QCh. 24 - Prob. 27QCh. 24 - Prob. 28QCh. 24 - Prob. 29QCh. 24 - Prob. 30QCh. 24 - Prob. 31QCh. 24 - Prob. 32Q
Knowledge Booster
Learn more about
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
- In the Check Your Learning section of Example 27.1, you were told that several lines of hydrogen absorption in the visible spectrum have rest wavelengths of 410 nm, 434 nm, 486 nm, and 656 nm. In a spectrum of a distant galaxy, these same lines are observed to have wavelengths of 492 nm, 521 nm, 583 nm, and 787 nm, respectively. The example demonstrated that z=0.20 for the 410 nm line. Show that you will obtain the same redshift regardless of which absorption line you measure.arrow_forwardWhat is the Schwarzschild radius of a blank hole that has a mass eight times that of our Sun? Note that stars must be more massive than the Sun to form black holes as a result of a supernova.arrow_forwardSay that a particular white dwarf has the mass of the Sun but the radius of Earth. What is the acceleration of gravity at the surface of the white dwarf? How much greater is this than g at the surface of Earth? What would you weigh at the surface of the white dwarf (again granting us the dubious notion that you could survive there)?arrow_forward
- What is the orbital period of a bit of matter in an accretion disk that is located 4 ✕ 105 km from a 87 M black hole? Use the circular orbit velocity formula.arrow_forwardExplain what is meant by the Schwarzschild radius of a black hole. Using a Newtonian approx- imation, derive an expression for the Schwarzschild radius, R, of a black hole of mass MBH- Calculate the Schwarzschild radius for a body with mass equal to the Sun's mass, and express your answer in units of kilometres.arrow_forwardWhat is the escape velocity (in km/s) at the Schwarzschild radius of a 7.82 Msun black hole?arrow_forward
- What is the event horizon radius [m] for the sun if it were to collapse to a Schwarzschild black hole? (Msun = 1.99 x 1030kg). Would earth’s orbit be altered if this were to occur (although it would be a heck of a lot colder) (T/F).arrow_forwardCalculate the Schwarzschild Radius for the following: 1. a black hole with the mass of you (estimate your mass to be 51.8 kg)arrow_forward(Astronomy) Schwarzschild Radius. Part A: Find the Schwarzschild radius for the least massive black hole. Part B: Is your calculated value greater than, the same as, or smaller than the diameter of a typical neutron star and the diameter of Manhattan, New York, which is around 10.9 km?arrow_forward
- Please see attachment for full question. I would like some assistance with the approach for this. The Schwarzschild radius ?BH for an object of mass ? is defined as ?BH=2???2 where ? is the speed of light and ? is the universal gravitational constant. ?BH gives the radius of the event horizon of a black hole with mass ?. In other words, it gives the radius to which some amount of mass ? would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99×1030 kg. What would be the radius of a black hole with this mass?arrow_forwardAs a mass m of gas falls into a black hole, at most 0.1mc2 is likely to emerge as radiation; the rest is swallowed by the black hole. Show the Eddington luminosity for a black hole of mass M is equivalent to 2*10-9 Mc2yr-1. Explain why we expect the black hole's mass to grow by at least a factor of e every 5*107 years. Where Edding Luminicity is defined as LE=(4piGMmpc)/(sigmaT), where G is the gravitational constant, M is the mass of the black hole, mp is the mass of a proton, c is the speed of light, and sigmaT is Thomson scattering where sigmaT=6.653*10-25 cm2.arrow_forwardYou discover by dropping particles into it that the Event Horizon (Schwartzschild Radius) of a black hole is 171 km. How massive is it? (enter just the number in solar masses)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Foundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
Stars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage Learning
AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax
Stars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning