Gravitation Question 231
Question: If $ [v_{e}] $ and $ [v_{o}] $ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then [CPMT 1982; MP PMT 1997; KCET (Engg./Med.) 1999; AIIMS 2002]
Options:
A) $ [v_{e}=v_{o}] $
B) $ [\sqrt{2}v_{o}=v_{e}] $
C) $ [v_{e}=v_{0}/\sqrt{2}] $
D) $ [v_{e}] $ and $ [v_{o}] $ are not related
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Answer:
Correct Answer: B
Solution:
$ [v_{e}=\sqrt{2gR}] $ and $ [v_{0}=\sqrt{gR}] $ \ $ [,\sqrt{2},v_{0}=v_{e}] $