Chapter 34, Problem 22PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# What is the Schwarzschild radius of a blank hole that has a mass eight times that of our Sun? Note that stars must be more massive than the Sun to form black holes as a result of a supernova.

To determine

The Schwarzschild radius of a black hole having a mass which is eight times of the sun.

Explanation

Given:

Mass of sun, ms=1.989Ã—1030â€‰kg

Speed of light, c=3Ã—108â€‰m/s

Gravitational constant, G=6.67Ã—10âˆ’11â€‰N-m2/kg2

Formula used:

Formula to calculate the Schwarzschild radius of a black hole is,

â€ƒâ€ƒRsc=2Gmc2 ...... (I)

Where,

• Rsc is Schwarzschild radius of black hole.
• G is gravitational constant.
• m is mass of the black hole.
• c is speed of light.

Calculation:

Since, the mass of the black is eight times the mass of the sun.

Calculate the mass of the black hole.

â€ƒâ€ƒm=8ms

Substitute 1.989Ã—1030â€‰kg for ms in the above expression.

â€ƒâ€ƒm=8Ã—1.989Ã—1030â€‰kg=15.91Ã—1030â€‰kg

Substitute 15

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