21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
6th Edition
ISBN: 9780393874921
Author: PALEN
Publisher: Norton, W. W. & Company, Inc.
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Chapter 19, Problem 37QP
To determine
The Schwarzschild radius.
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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 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.
The area of the event Horizon of a black hole is 4tRg². Use the Schwarzschild metric to verify this.
(Please answer in detail or skip)
Chapter 19 Solutions
21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
Ch. 19.1 - Prob. 19.1ACYUCh. 19.1 - Prob. 19.1BCYUCh. 19.2 - Prob. 19.2CYUCh. 19.3 - Prob. 19.3CYUCh. 19.4 - Prob. 19.4CYUCh. 19 - Prob. 1QPCh. 19 - Prob. 2QPCh. 19 - Prob. 3QPCh. 19 - Prob. 4QPCh. 19 - Prob. 5QP
Ch. 19 - Prob. 6QPCh. 19 - Prob. 7QPCh. 19 - Prob. 8QPCh. 19 - Prob. 9QPCh. 19 - Prob. 10QPCh. 19 - Prob. 11QPCh. 19 - Prob. 12QPCh. 19 - Prob. 13QPCh. 19 - Prob. 14QPCh. 19 - Prob. 15QPCh. 19 - Prob. 16QPCh. 19 - Prob. 17QPCh. 19 - Prob. 18QPCh. 19 - Prob. 19QPCh. 19 - Prob. 20QPCh. 19 - Prob. 21QPCh. 19 - Prob. 22QPCh. 19 - Prob. 23QPCh. 19 - Prob. 24QPCh. 19 - Prob. 25QPCh. 19 - Prob. 26QPCh. 19 - Prob. 27QPCh. 19 - Prob. 28QPCh. 19 - Prob. 29QPCh. 19 - Prob. 30QPCh. 19 - Prob. 31QPCh. 19 - Prob. 32QPCh. 19 - Prob. 33QPCh. 19 - Prob. 34QPCh. 19 - Prob. 35QPCh. 19 - Prob. 36QPCh. 19 - Prob. 37QPCh. 19 - Prob. 38QPCh. 19 - Prob. 39QPCh. 19 - Prob. 40QPCh. 19 - Prob. 41QPCh. 19 - Prob. 42QPCh. 19 - Prob. 43QPCh. 19 - Prob. 44QPCh. 19 - Prob. 45QP
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- Calculate the Schwarzschild radius for the sun and Earth.arrow_forwardMany galaxies appear to have supermassive black holes in their centers powering active galactic nuclei (also called AGN). The Schwarzschild radius of these supermassive black holes can be estimated in part by watching for changes in the brightness of the surrounding AGN and measuring the timescale of those changes. Assume we observe an AGN and determine it varies with a timescale of 9.85 minutes, which implies a Schwarzschild radius on the order of 1.77x1011 meters. Estimate the mass of this supermassive black hole. kgarrow_forwardHow large is the Schwarzschild radius of a black hole containing a mass equal to that of the Earth?arrow_forward
- You 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_forwardTRUE OR FALSE A Black Hole’s singularity has zero radius yet can accommodate infinite mass.arrow_forwardQuestion A5 State the value of the Ricci tensor R on the event horizon of a Schwarzschild black hole, and justify your answer.arrow_forward
- A black hole has an event horizon radius of 5.00××1033 m. a) What is its mass? b) Determine the gravitational acceleration it produces at a distance of 5.01××1033 m from its center. c) Determine the escape speed at a distance of 5.01××1033 m from its center.arrow_forwardWhat is the Schwarzschild radius (in km) of a 20 solar mass black hole?arrow_forwardHow can we calculate Schwarzschild radius?arrow_forward
- what is the mass of the black hole ? give your answer as a multiple of Ms where Ms is the solar mass, Ms = 2.0 * 10^(30) express your answer as a multiple of the solar mass mass Ms.arrow_forward6arrow_forwardWhat 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 . sarrow_forward
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