A) \[\sqrt{\frac{2G{{M}^{2}}}{R}}\]
B) \[\sqrt{\frac{2GM}{g}}\]
C) \[\sqrt{\frac{2GM}{{{R}^{3}}}}\]
D) \[\sqrt{\frac{2GR}{M}}\]
Correct Answer: C
Solution :
Escape velocity \[v=\sqrt{\frac{2GM}{R}}\] If star rotates with angular velocity w then \[\omega =\frac{v}{R}=\frac{1}{R}\sqrt{\frac{2GM}{R}}=\sqrt{\frac{2GM}{{{R}^{3}}}}\]
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