JEE Main 2021 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 27 August 2021, Shift 1, Physics Q2

Question 2 of 90 in this shift, Physics question 2 of 30, Section A.

Moment of inertia of a square plate of side

l

about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :

(1) $\frac{\mathrm{M}l^2}{12}$
(2) $\frac{2}{3}\mathrm{M}l^2$ Official answer
(3) $\frac{\mathrm{M}l^2}{6}$
(4) $\mathrm{M}l^2$

Official answer

Option 2

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Moment of Inertia
Idea tested: Parallel Axis Theorem

Same idea in other shifts

Asked 7× in all

2 Apr 2026, Shift 2 · Q50Moment of inertia about an axis $AB$ for a rod of mass 40 kg and length 3 m is same as that of a solid sphere of mass of 10 kg and radius…MediumNumerical valueHas a figure
31 Jan 2024, Shift 2 · Q52Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light rod so that the separation between the centers…MediumNumerical value
26 Aug 2021, Shift 2 · Q10The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia…MediumDiagram basedHas a figure
31 Aug 2021, Shift 2 · Q14A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the ends of a light rod. The distance between the…MediumSingle correct
26 Feb 2021, Shift 1 · Q5Four identical solid spheres each of mass ‘m’ and radius ‘a’ are placed with their centres on the four corners of a square of side ‘b’.…MediumSingle correct
4 Sep 2020, Shift 2 · Q5For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing…EasyDiagram basedHas a figure

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.