Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 24, Problem 28Q
To determine
The Schwarzchild radius of a black hole and compare the size with the solar system.
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Students have asked these similar questions
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).
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
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
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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
- 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_forward6arrow_forward
- for 14 i observed the galaxy end aroung 5 kpc. I need help with 18arrow_forwardM1arrow_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
- Need homework help. is this question complete? calculate the Schwarzschild radius of a black hole with a mass 20 times the mass of the Sun.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_forward1. (a) Calculate Schwarzschild radius of a blackhole with mass same as our Sun. (Spoints) (b) Calculate its average density. points)arrow_forward
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