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Q. 20

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 354

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Short Answer

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 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

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