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JEE Main 27 July 2022, Shift 2, Physics Q36

Question 36 of 90 in this shift, Physics question 6 of 30, Section A.

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 be negligible, then the maximum height from the centre of earth, to which the body can go, will be : (R : radius of earth)

(1) $\frac{R}{1+\lambda^2}$
(2) $\frac{R}{1-\lambda^2}$ Official answer
(3) $\frac{R}{1-\lambda}$
(4) $\frac{\lambda^2 R}{1-\lambda^2}$

Official answer

Option 2

NTA final key.

Chapter: Gravitation
Topic: Orbital Mechanics
Idea tested: Maximum Height for Sub-Escape Projection

Same topic in other shifts

All Orbital Mechanics questions

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.