NEET 2013 Physics Escape Velocity MCQ Question
A particle of mass 'm' is kept at rest at a height 3R from the surface of Earth, where 'R' is radius of Earth and 'M' is mass of Earth. The minimum speed with which it should be projected, so that it does not return back, is (g is acceleration due to gravity on the surface of Earth):
(GM/2R)^(1/2)
(gR/2)^(1/2)
(2gR)^(1/2)
(GM/3R)^(1/2)
Correct Answer
Detailed Explanation
The minimum speed required is the escape velocity from the height 3R, which is given by v = √(2GM/(R⁺h)). Substituting h = 3R gives the answer.
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