JEE Main 2023 · PhysicsMultiple choiceSingle correctMediumConceptual

JEE Main 11 April 2023, Shift 2, Physics Q37

Question 37 of 90 in this shift, Physics question 7 of 30, Section A.

If V is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-

(1) $V$
(2) $\frac{V}{2}$
(3) $\frac{3V}{2}$ Official answer
(4) $\frac{4}{3}V$

Official answer

Option 3

NTA final key.

Chapter: Gravitation
Topic: Gravitational Potential
Idea tested: Potential of Solid Sphere

Same topic in other shifts

All Gravitational Potential questions

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
5 Apr 2026, Shift 2 · Q32A body of mass $m$ is taken from the surface of earth to a height equal to twice the radius of earth ( $R_e$ ). The increase in potential…EasySingle correct
4 Apr 2025, Shift 2 · Q29An 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…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
30 Jan 2024, Shift 1 · Q36The gravitational potential at a point above the surface of earth is $-5.12\times10^{7}\ \mathrm{J/kg}$ and the acceleration due to…MediumSingle 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

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.