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a) How large is the Schwartzschild radius for a black hole of a million solar masses? b) What about a billion (10°) solar masses? c) How do these sizes compare with the radius of the sun (the actual sun, not the sun as a black hole), and the size of the solar system? Remember you must compare the sizes in kilometers. The radius of the solar system is about 100 AU. 1 AU is 150 million kilometers.

a) How large is the Schwartzschild radius for a black hole of a million solar masses? b) What about a billion (10°) solar masses? c) How do these sizes compare with the radius of the sun (the actual sun, not the sun as a black hole), and the size of the solar system? Remember you must compare the sizes in kilometers. The radius of the solar system is about 100 AU. 1 AU is 150 million kilometers.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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A Black Hole has an event horizon, also known as the Schwartzschild radius which is proportional to its mass. We can write a handy version of this equation for stars in terms of Solar Masses as follows: R = 3M %3D Where R is measured in kilometers and M in Solar Masses. So a 1 solar mass object (the Sun for example) if turned into a black hole would have a Schwartzschild radius of 3km. We believe galaxies have supermassive black holes at their centers with masses that can be a million, or even a billion times the mass of the Sun. a) How large is the Schwartzschild radius for a black hole of a million solar masses? b) What about a billion (10°) solar masses? c) How do these sizes compare with the radius of the sun (the actual sun, not the sun as a black hole), and the size of the solar system? Remember you must compare the sizes in kilometers. The radius of the solar system is about 100 AU. 1 AU is 150 million kilometers.
Transcribed Image Text:A Black Hole has an event horizon, also known as the Schwartzschild radius which is proportional to its mass. We can write a handy version of this equation for stars in terms of Solar Masses as follows: R = 3M %3D Where R is measured in kilometers and M in Solar Masses. So a 1 solar mass object (the Sun for example) if turned into a black hole would have a Schwartzschild radius of 3km. We believe galaxies have supermassive black holes at their centers with masses that can be a million, or even a billion times the mass of the Sun. a) How large is the Schwartzschild radius for a black hole of a million solar masses? b) What about a billion (10°) solar masses? c) How do these sizes compare with the radius of the sun (the actual sun, not the sun as a black hole), and the size of the solar system? Remember you must compare the sizes in kilometers. The radius of the solar system is about 100 AU. 1 AU is 150 million kilometers.
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