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JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 29 June 2022, Shift 2, Physics Q57

Question 57 of 90 in this shift, Physics question 27 of 30, Section B.

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is

I_1

. The same rod is bent into a ring and its moment of inertia about a diameter is

I_2

. If

\dfrac{I_1}{I_2}

is

\dfrac{x\pi^2}{3}

, then the value of

x

will be ________.

Official answer

8

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Moment of Inertia
Idea tested: MOI Changes During Reshaping

Same idea in other shifts

Asked 2× in all

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

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.