JEE Main Physics · System of Particles and Rotational Motion

Moment of Inertia in JEE Main

Name: Moment of Inertia: JEE Main previous year questions
Creator: Lumi

Moment of Inertia (Physics, System of Particles and Rotational Motion) came 17 times in 17 of the 42 JEE Main shifts Lumi analysed, across 12 distinct ideas. 10 of them came in 2024–26; it was last asked in 2026.

Questions: 17; in 17 shifts
Ideas asked: 12; 3 asked more than once
Numerical answer: 8; 47% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 2Medium 13Hard 2

Format

Numerical value8 Q
Single correct8 Q
Assertion–reason1 Q

Ideas inside the topic

12 ideas

MOI of Composite Bodies4 Q
Parallel Axis Theorem2 Q
MOI of Spheres About a Tangent2 Q
MOI Change by Bending a Rod1 Q
MOI of Bodies with Cavities1 Q
MOI of a Cylinder About Transverse Axis1 Q
MOI of Discrete Particles1 Q
Radius of Gyration1 Q
MOI with Linear Density Gradient1 Q
MOI Changes During Reshaping1 Q
MOI of Standard Shapes1 Q
MOI of a Ring About Tangents1 Q

Where it sits

Part of System of Particles and Rotational Motion, which had 66 questions in all. Moment of Inertia accounts for 26% of them. In Lumi's JEE taxonomy it belongs to Mechanics.

Every question

All 17 Moment of Inertia questions

Newest first, each with its options and official answer.

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
4 Apr 2026, Shift 1 · Q30A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The smaller part having mass $M/8$ is converted into a sphere…MediumSingle correct
6 Apr 2026, Shift 1 · Q31A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular…MediumSingle correct
2 Apr 2025, Shift 1 · Q32Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is ' $\alpha$ '. Now…MediumSingle correct
2 Apr 2025, Shift 2 · Q28The moment of inertia of a circular ring of mass $M$ and diameter $r$ about a tangential axis lying in the plane of the ring is :EasySingle correct
7 Apr 2025, Shift 1 · Q46A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.…HardNumerical valueHas a figure
7 Apr 2025, Shift 2 · Q46 $M$ and $R$ be the mass and radius of a disc. A small disc of radius $\frac{R}{3}$ is removed from the bigger disc as shown in figure. The…MediumNumerical valueHas a figure
8 Apr 2025, Shift 2 · Q28A rod of linear mass density ' $\lambda$ ' and length 'L' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its…MediumSingle correct
6 Apr 2024, Shift 2 · Q56Three balls of masses 2 kg, 4 kg and 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The…MediumNumerical value
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
6 Apr 2023, Shift 1 · Q60Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a light rod. The separation between the centres of…MediumNumerical value
11 Apr 2023, Shift 1 · Q58A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular speed of 10 rad s $^{-1}$ . If the moment of…MediumNumerical value
28 Jul 2022, Shift 1 · Q60Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the…MediumNumerical valueHas a figure
3 Aug 2021, Shift 2 · Q4A solid sphere of radius $R$ has mass $M$ . A rod of mass $m$ is attached tangentially to the sphere. What would be the moment of inertia…MediumSingle correct
25 Jul 2021, Shift 1 · Q15Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Moment of inertia of…EasyAssertion–reason
6 Sep 2020, Shift 2 · Q5The linear mass density of a thin rod AB of length L varies from A to B as $\lambda(x)=\lambda_0\left(1+\frac{x}{L}\right)$ , where $x$ is…MediumSingle correct
2 Apr 2017 (offline) · Q5The moment of inertia of a uniform cylinder of length $l$ and radius $R$ about its perpendicular bisector is I. What is the ratio $l/R$ …HardSingle correct