SATHEE: Gravitation Question 154

Gravitation Question 154

Question: The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be[MH CET 1999]

Options:

A) $[\sqrt{\frac{2 G M^{2}}{R}}]$

B) $[\sqrt{\frac{2 G M}{g}}]$

C) $[\sqrt{\frac{2 G M}{R^{3}}}]$

D) $[\sqrt{\frac{2 G R}{M}}]$

Show Answer

Answer:

Correct Answer: C

Solution:

Escape velocity $[v = \sqrt{\frac{2 G M}{R}}]$

If star rotates with angular velocity w then

$[ω = \frac{v}{R} = \frac{1}{R} \sqrt{\frac{2 G M}{R}} = \sqrt{\frac{2 G M}{R^{3}}}]$

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Gravitation Question 154

Question: The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be[MH CET 1999]

Options:

Answer:

Solution:

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