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)

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)

${\left( {{{GM} \over {2R}}} \right)^{1/2}}$

${\left( {{{gR} \over 4}} \right)^{1/2}}$

${\left( {{{2g} \over R}} \right)^{1/2}}$

${\left( {{{GM} \over R}} \right)^{1/2}}$

Solution

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