JEE Main 2021 · PhysicsMultiple choiceSingle correctHardMulti-step

JEE Main 3 August 2021, Shift 2, Physics Q6

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

A particle is projected from the mid-point of the line joining two fixed particles each of mass

m

in free space. If the separation between the fixed particles is

l

, the minimum velocity of projection of the particle so as to escape to far away is equal to

(1) $2\sqrt{\frac{2Gm}{l}}$ Official answer
(2) $\sqrt{\frac{Gm}{l}}$
(3) $\sqrt{\frac{2Gm}{l}}$
(4) $2\sqrt{\frac{Gm}{l}}$

Official answer

Option 1

NTA final key.

Chapter: Gravitation
Topic: Orbital Mechanics
Idea tested: Escape Velocity

Same idea in other shifts

Asked 8× in all

30 Jan 2024, Shift 2 · Q36Escape velocity of a body from earth is $11.2\ km/s$ . If the radius of a planet be one-third the radius of earth and mass be one-sixth…EasySingle correct
31 Jan 2024, Shift 2 · Q36The mass of the moon is $\frac{1}{144}$ times the mass of a planet and its diameter is $\frac{1}{16}$ times the diameter of a planet. If…EasySingle correct
12 Apr 2023, Shift 1 · Q36The ratio of escape velocity of a planet to the escape velocity of earth will be:- Given: Mass of the planet is 16 times mass of earth and…EasySingle correct
13 Apr 2023, Shift 2 · Q35Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape…EasyTwo statements
29 Jun 2022, Shift 1 · Q44The escape velocity of a body on a planet 'A' is $12\ \mathrm{kms^{-1}}$ . The escape velocity of the body on another planet 'B', whose…EasySingle correct
22 Jul 2021, Shift 2 · Q12A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken…HardSingle correct
9 Jan 2020, Shift 2 · Q7Planet A has mass $M$ and radius $R$ . Planet B has half the mass and half the radius of Planet A. If the escape velocities from the…EasySingle correct

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.