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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