If mass of earth is M, radius is R and gra

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If mass of earth is $M$, radius is $R$ and gravitational constant is $G$, then work done to take $1\, kg$ mass from earth surface to infinity will be

A

$\sqrt {\frac{{GM}}{{2R}}} $

B

$\frac{{GM}}{R}$

C

$\sqrt {\frac{{2GM}}{R}} $

D

$\frac{{GM}}{{2R}}$

If mass of earth is $M$, radius is $R$ and gravitational constant is $G$, then work done to take $1\, kg$ mass from earth surface to infinity will be

Potential energy of the $1 \,kg$ mass which is placed at the earth surface $=  - \frac{{GM}}{R}$ 

its potential energy at infinite $= 0$

Work done = change in potential energy = $\frac{{GM}}{R}$