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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Gravitation

Olympiad workbook · NSEP · Gravitation

The shortest period of rotation of a planet (considered to be a...

The shortest period of rotation of a planet (considered to be a sphere of uniform density

\rho

) about its own axis, such that any mass

m

kept on its equator is just to fly off the surface, is

Options

A $T=\sqrt{\frac{5 \pi}{\rho G}}$
B $T=\sqrt{\frac{\pi}{3 \rho G}}$
C $T=\sqrt{\frac{3 \pi}{\rho G}}$
D $T=\sqrt{\frac{5 \pi}{3 \rho G}}$

Correct answer

C. $T=\sqrt{\frac{3 \pi}{\rho G}}$

Step-by-step solution

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