Gravitation Question 257

Question: 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] [MP PMT 2002]

Options:

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}}] $

Show Answer

Answer:

Correct Answer: B

Solution:

$ [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}}] $



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