Q. 20

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Found in: Page 354

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Nothing can escape the event horizon of a black hole, not even light. You can think of the event horizon as being the distance from a black hole at which the escape speed is the speed of light, making all escape impossible. What is the radius of the event horizon for a black hole with a mass times the mass of the sun? This distance is called the Schwarzschild radius.

The radius of the event horizon of the black hole is

See the step by step solution

## Step 1 : Given information

Mass of black hole = times of the mass of the sun, escape velocity =

## Step 2 : Calculation

We know, escape velocity :

Substituting the values of G, M, v in the above equation, and solving for R we get :

## Step 3 : Final answer

The radius of the event horizon for the black hole is