Learn

Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 25 June 2022, Shift 2, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

Moment of Inertia (M.I.) of four bodies having same mass ‘MM’ and radius ‘2R2R’ are as follows : I1\mathrm{I}_1 = M.I. of solid sphere about its diameter I2\mathrm{I}_2 = M.I. of solid cylinder about its axis I3\mathrm{I}_3 = M.I. of solid circular disc about its diameter I4\mathrm{I}_4= M.I. of thin circular ring about its diameter If 2(I2+I3)+I4=x⋅I12(\mathrm{I}_2 + \mathrm{I}_3) + \mathrm{I}_4 = x \cdot \mathrm{I}_1 then the value of xx will be ____________.

Official answer

5

NTA final key.

Chapter
System of Particles and Rotational Motion
Topic
Moment of Inertia
Idea tested
MOI of Standard Shapes

Same idea in other shifts

Asked 5× in all
  1. 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. 12 Apr 2023, Shift 1 · Q53For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is x5\frac{x}{5}. The value of xx is ______MediumNumerical value
  3. 25 Jul 2021, Shift 2 · Q22A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its circular plane…EasyNumerical value
  4. 9 Jan 2020, Shift 1 · Q22One end of a straight uniform 1 m long bar is pivoted on horizontal table. It is released from rest when it makes an angle 30∘30^{\circ}…MediumNumerical valueHas 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.