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}}}] $
Show Answer
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}}] $
