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Q.

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]

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a

(2Gm/r)1/2≤c

b

(2Gm/r)1/2=c

c

(2Gm/r)1/2≥c

d

(gm/r)1/2≥c

answer is C.

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Detailed Solution

Escape velocity for that body  ve=2Gmr ve should be more than or equal to speed of lighti.e. 2Gmr≥c
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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]