JEE Main 2025 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 4 April 2025, Shift 2, Physics Q29

Question 29 of 75 in this shift, Physics question 4 of 25, Section A.

An object is kept at rest at a distance of 3R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is : (Assume M = mass of earth, G = Universal gravitational constant)

(1) $\sqrt{\frac{2GM}{R}}$
(2) $\sqrt{\frac{GM}{R}}$
(3) $\sqrt{\frac{3GM}{R}}$
(4) $\sqrt{\frac{GM}{2R}}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Gravitation
Topic: Gravitational Potential
Idea tested: Escape Velocity and Potential Relation

Same idea in other shifts

Asked 8× in all

2 Apr 2026, Shift 2 · Q31If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth.…MediumSingle correct
6 Apr 2024, Shift 1 · Q33To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is $R_E$ , g =…EasySingle correct
13 Apr 2023, Shift 1 · Q36A planet having mass 9 Me and radius $4R_e$ , where Me and Re are mass and radius of earth respectively, has escape velocity in km/s given…EasySingle correct
31 Aug 2021, Shift 1 · Q17The masses and radii of the earth and moon are ( $M_1$ , $R_1$ ) and ( $M_2$ , $R_2$ ) respectively. Their centres are at a distance 'r' apart.…MediumSingle correct
25 Feb 2021, Shift 1 · Q1Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The escape velocities…EasyAssertion–reason
17 Mar 2021, Shift 1 · Q26The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity is increased 10…EasyNumerical value
8 Jan 2020, Shift 2 · Q22An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is the radius of the earth) from the earths…MediumNumerical value

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.