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JEE Main 2022 (26 Jul, Shift 2) · Escape Velocity

Escape Velocity question from JEE Main 2022 (26 Jul, Shift 2)

Q41JEE Main 2022 · 26 JUL · SHIFT 2Medium

Escape Velocity

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be:

(Take radius of earth $= 6400\text{ km}$ and $g = 10\text{ m s}^{-2}$ )

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Answer: (a)

For $v = Kv_e$ : $h = \frac{RK^2}{1-K^2}$ .
$K = \frac{1}{3} \Rightarrow h = \frac{R}{8}$ .
$h = \frac{6400}{8} = 800$ km.
So the answer is (a) 800 km.

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