1.

The condition for the uniform sphere of mass m of radius r to be a black hole is (G = gravitational constant) :

Answer»

`((2Gm)/(r ))^(1//2) ge C`
`((2Gm)/(r ))^(1//2) LE C`
`((2gm)/(r ))^(1//2) = C`
`((GM)/(r ))^(1//2) ge C`

Solution :We know that condition for a star or SPHERE to be black hole is `(Gm)/(rc^(2)) ge (1)/(2)`, where c is speed of light.
`therefore ((2Gm)/(r ))^(1//2) ge c`.
Thus correct CHOICE is (a).


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