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

Answer:

$1.1\times10^{4}m$

Explanation:

The Schwarzschild radius can be calculated as follows:

$R=\frac{GM}{c^2}$

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

$R=\frac{G\times 7.5M_{sun}}{c^2}\\ R=\frac{6.67\times10^{-11}\times(7.5\times1.98\times10^{30})}{(3\times10^8)^2}\\ \Rightarrow R=1.1\times10^{4}m$