SATHEE: Gravitation Question 211

Gravitation Question 211

Question: 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][AIIMS 2005]

Options:

A) $[{(2 G m / r)}^{1 / 2} \leq c]$

B) $[{(2 G m / r)}^{1 / 2} = c]$

C) $[{(2 G m / r)}^{1 / 2} \geq c]$

D) $[{(g m / r)}^{1 / 2} \geq c]$

Show Answer

Answer:

Correct Answer: C

Solution:

Escape velocity for that body $[v_{e} = \sqrt{\frac{2 G m}{r}}]$

$[v_{e}]$ should be more than or equal to speed of light i.e.

$[\sqrt{\frac{2 G m}{r}} \geq c]$

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Gravitation Question 211

Question: 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][AIIMS 2005]

Options:

Answer:

Solution:

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