Learn

Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 30 June 2022, Shift 1, Physics Q53

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

Four particles with a mass of 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m (as shown in the figure). The moment of inertia of the system, about an axis passing through the point O and perpendicular to the plane of the square, is __________ kg m2\mathrm{kg\ m^2}.

The figure, in words

A square with corners labelled A (1 kg) at top left, D (4 kg) at top right, B (2 kg) at bottom left and C (3 kg) at bottom right; sides marked 1 m; dashed diagonals cross at the centre point O.

Official answer

5

NTA final key.

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

Same idea in other shifts

Asked 5× in all
  1. 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
  2. 27 Jan 2024, Shift 1 · Q52Four particles each of mass 1 kg are placed at four corners of a square of side 2 m. Moment of inertia of system about an axis…EasyNumerical value
  3. 26 Jul 2022, Shift 1 · Q52A disc of mass 1 kg and radius R is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of…HardNumerical value
  4. 3 Sep 2020, Shift 2 · Q22An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass m situated at its vertices. The moment…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. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.