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A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius ( in meters) would earth (mass = 5.98 * 10 ^{24} kg)have to be compressed to be a black hole

Option: 1

0.02


Option: 2

10-5


Option: 3

10-9


Option: 4

10-6


Answers (1)

best_answer

As we learn

Black holes -

Radius of Black hole 

R=\frac{2GM}{C^{2}}

C\rightarrow Velocity of light

R\rightarrow Radius of black hole

M\rightarrow Mass of planet

- wherein

If escape velocity of body is equal to the velocity of light then from such bodies can escape nothing and is known as black hole.

 

 V_{e}=\sqrt{\frac{2GM}{R}} = C = R = \frac{2GM}{C^{2}}

R = \frac{2*6.67*10^{-11}*5.98*10^{24}}{(3*10^{8})^{2}}

R \approx 8.86*10^{-3}m \approx10^{-2}

 

Posted by

sudhir.kumar

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