JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 31 January 2024, Shift 2, Physics Q52

Question 52 of 90 in this shift, Physics question 22 of 30, Section B.

Two 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 is 150 cm. Then, moment of inertia of the system about an axis perpendicular to the rod and passing through its middle point is

\frac{x}{20}

kg m

^2

, where the value of

x

is __________.

Official answer

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
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
27 Aug 2021, Shift 1 · Q2Moment 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…EasySingle correct
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.