The condition for a uniform spherical mass

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

A

${(2Gm/r)^{1/2}} \le c$

B

${(2Gm/r)^{1/2}} = c$

C

${(2Gm/r)^{1/2}} \ge c$

D

${(gm/r)^{1/2}} \ge c$

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

Escape velocity for that body ${v_e} = \sqrt {\frac{{2Gm}}{r}} $
${v_e}$ should be more than or equal to speed of light
i.e.$\sqrt {\frac{{2Gm}}{r}} \ge c$