JEE Main 2023 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 15 April 2023, Shift 1, Physics Q53

Question 53 of 90 in this shift, Physics question 23 of 30, Section B.

A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively (

k_{sph}

k_{cyl}

) is

2 : \sqrt{x}

. The value of

x

is ______________

Official answer

NTA final key.

Chapter: System of Particles and Rotational Motion
Topic: Moment of Inertia
Idea tested: Radius of Gyration

Same idea in other shifts

Asked 5× in all

5 Apr 2024, Shift 1 · Q35Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis…MediumSingle correctHas a figure
6 Apr 2023, Shift 2 · Q52A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of rotation is…MediumNumerical value
26 Jul 2022, Shift 2 · Q52The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be…EasyNumerical value
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

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.