Question

where c is the speed of light and G is the universal gravitational constant. RBH gives the radius of the event horizon of a black hole with mass ????. In other words, it gives the radius to which some amount of mass ???? would need to be compressed in order to form a black hole. The mass of the Sun is about 1.99×1030 kg. What would be the radius of a black hole with this mass?

Answer 1

The radius of the black hole will be 2949.6 m.

Step-by-step explanation:

The radius of this black hole will be the Schwarzschild radius of the mass of the sun

`r_(s)` =
`(2GM)/(c^(2) )`

where

G is the gravitational constant = 6.67 x 10^-11 m^3⋅kg^-1⋅s^-2

M is the mass of the sun = 1.99×10^30 kg

c is the speed of light = 3 x 10^8 m/s

substituting values into the equation, we have

`r_(s)` =
`(2*6.67*10^(-11)*1.99*10^(30) )/((3*10^(8) )^(2) )` = 2949.6 m