Gravitation Question 189

Question: A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is $ [R_{0}] $ and mass of the earth M, the angular momentum about the centre of the earth is [MP PMT 1996; RPMT 2000]

Options:

A) $ [m\sqrt{GMR_{0}}] $

B) $ [M\sqrt{GmR_{0}}] $

C) $ [m\sqrt{\frac{GM}{R_{0}}}] $

D) $ [M\sqrt{\frac{GM}{R_{0}}}] $

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Answer:

Correct Answer: A

Solution:

Angular momentum = Mass ×Orbital velocity ×Radius $ [=m\times \left( \sqrt{\frac{GM}{R_{0}}} \right)\times R_{0}=m\sqrt{GMR_{0}}] $



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