Respuesta :
Answer:
Condition
[tex]\frac{m}{R} \geq \frac{c^{2} }{2*g}[/tex]
Explanation:
Basically black hole is an object from which light rays can not escape it means to go out from gravitational field , that body should thrown with speed greater then light.
Let's do some calculation
Gravitational potential at surface =[tex]-\frac{G*M*m}{R}[/tex]
If we give kinetic energy equal to magnitude of Potential energy as on surface it will escape.
[tex]\frac{m*v^{2} }{2}[/tex] =[tex]-\frac{G*M*m}{R}[/tex]
⇒[tex]\frac{m}{R} =\frac{c^{2} }{2*G}[/tex]
It will be more better for black hole if above ratio (analogous to density ) is more then above calculated
