Question

Find the radius to which the sun must be compressed for it to become a black hole.

Answer 1

2950 m

Step-by-step explanation:

The radius to which the sun must be compressed to become a black hole is equal to its Schwarzschild radius, which is given by the formula:

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

where

G is the gravitational constant

M is the mass of the star

c is the speed of light

For the Sun, its mass is

`M=1.99\cdot 10^(30)kg`

Therefore, its Schwarzschild radius is

`r=(2(6.67\cdot 10^(-11)Nm^2kg^(-2)(1.99\cdot 10^(30) kg))/((3\cdot 10^8 m/s)^2)=2950 m`