Question

There are two planets. The ratio of radius of the two planets is $k$ but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity?

• A. $(Kg)^{1/2}$
• B. $(Kg)^{ - 1/2}$
• C. $(Kg)^{2}$
• D. $(Kg)^{ - 2}$

Answer 1

The Correct Option is A

The equation of escape velocity is $v _{ e }=\sqrt{2 gr }$
so, $\frac{ v _{ e } 1}{ v _{ e } 2}=\frac{\sqrt{2 g _{1} r _{1}}}{\sqrt{2 g _{2} r _{2}}}=\sqrt{ kg }$