A planet of mass M and radius R rotates so quickly that material at its equator only just remains on its surface.
What is the period of rotation of the planet?
1 )
2π $\sqrt {\frac{R}{{GM}}}$
2 )
2π $\sqrt {\frac{{GM}}{R}}$
2π $\sqrt {\frac{{{R^3}}}{{GM}}}$
4 )
2π $\sqrt {\frac{{GM}}{{{R^3}}}}$
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