Body of mass m is projected with...|Gravitation|JEEMain-2022

JEE MAIN 2022

27-07-2022 - S2

Question

A body of mass m is projected with velocity $\lambda V_e$ in vertically upward direction from the surface of the earth into space. It is given that $V_e$ is escape velocity and $\lambda<1$. If air resistance is considered to the negligible, then the maximum height from the centre of earth, to which the body can go, will be (R : radius of earth)

Select the correct option:

$\frac{\mathrm{R}}{1+\lambda^2}$

$\frac{\mathrm{R}}{1-\lambda^2}$

$\frac{R}{1-\lambda}$

$\frac{\lambda^2 R}{1-\lambda^2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution