The Schwarzschild radius, RS, of a black hole depends on its mass m, the speed of light c, and the gravitational constant G (with units m3/(kg s2 )). Find a dimensionally correct expression for RS in terms of these quantities. Assuming that you found a dimensionally correct expression, can you be sure that this expression is, in fact, the correct expression for calculating the Schwarzschild radius? Explain your answer.
The Schwarzschild radius, RS, of a black hole depends on its mass m, the speed of light c, and the gravitational constant G (with units m3/(kg s2 )). Find a dimensionally correct expression for RS in terms of these quantities. Assuming that you found a dimensionally correct expression, can you be sure that this expression is, in fact, the correct expression for calculating the Schwarzschild radius? Explain your answer.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
Problem 64PQ
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The Schwarzschild radius, RS, of a black hole depends on its mass m, the speed of light c,
and the gravitational constant G (with units m3/(kg s2
)).
Find a dimensionally correct expression for RS in terms of these quantities.
Assuming that you found a dimensionally correct expression, can you be sure that this expression is, in fact, the correct expression for calculating the Schwarzschild radius? Explain
your answer.
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