The escape velocity of a body depends upon mass as-
A.
$${m^0}$$
B.
$${m^1}$$
C.
$${m^2}$$
D.
$${m^3}$$
Answer :
$${m^0}$$
Solution :
Escape velocity, $${v_e} = \sqrt {2gR} = \sqrt {\frac{{2GM}}{R}} \,\,\,\,\,\, \Rightarrow {V_e} \propto {m^0}$$
Where $$M, \,R$$ are the mass and radius of the planet respectively. In this expression the mass of the body ($$m$$ ) is not present showing that the escape velocity is independent of the mass.
Releted MCQ Question on Basic Physics >> Gravitation
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