Q. Periodic time of a satellite revolving above Earth’s surface at a height equal to $R$, radius of Earth, is [$g$ is acceleration due to gravity at Earth’s surface]

A) $2\pi\sqrt{\frac{2R}{g}}$
B) $4\sqrt{2\pi}\sqrt{\frac{R}{g}}$
C) $2\pi\sqrt{\frac{R}{g}}$
D) $8\pi\sqrt{\frac{R}{g}}$
Explanation

(b) $T = 2\pi\sqrt{\frac{(R + h)^{3}}{gR^{2}}} = 2\pi\sqrt{\frac{(2R)^{3}}{gR^{2}}} = 4\sqrt{2}\pi\sqrt{\frac{R}{g}}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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