The condition for a uniform spherical mass `m` of a radius `r` to be a black hole is [`G` =gravitational constant and `g`=acceleration due to gravity]

Options

A. `((2Gm)/(r ))^(1//2) le c`
B. `((2gm)/(r ))^(1//2)=c`
C. `((2 Gm)/(r ))^(1//2) ge c`
D. `((gm)/(r ))^(1//2) ge c`

Answer

C

Explanation

The criterion for a star to be black hole
`(GM)/(c^(2)R) ge (1)/(2)" or "(sqrt(2GM))/( R)) ge e.`