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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:
A
$\frac{\mathrm{R}}{1+\lambda^2}$
B
$\frac{\mathrm{R}}{1-\lambda^2}$
C
$\frac{R}{1-\lambda}$
D
$\frac{\lambda^2 R}{1-\lambda^2}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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