Question

What is the radius of the event horizon for a black hole with a mass 7.5 times the mass of the sun? This distance is called the Schwarzschild radius. Express your answer with the appropriate units.

Answer 1

`1.1*10^(4)m`

Step-by-step explanation:

The Schwarzschild radius can be calculated as follows:

`R=(GM)/(c^2)`

Where, G is the gravitational constant, M is the mass and c is the speed of light.

Mass of sun is 1.98×10³⁰ kg

`R=(G* 7.5M_(sun))/(c^2)\\ R=(6.67*10^(-11)*(7.5*1.98*10^(30)))/((3*10^8)^2)\\ \Rightarrow R=1.1*10^(4)m`