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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 29 June 2022, Shift 1, Physics Q34

Question 34 of 90 in this shift, Physics question 4 of 30, Section A.

A spherical shell of 1 kg mass and radius R is rolling with angular speed ω\omega on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is a3R2ω\frac{a}{3}R^2\omega. The value of aa will be :

The figure, in words

A spherical shell of radius R rolling on the horizontal x-axis with angular velocity omega (clockwise arrow), touching the x-axis; origin O is on the x-axis to the left of the shell, y-axis vertical.
  1. (1)2
  2. (2)3
  3. (3)5Official answer
  4. (4)4

Official answer

Option 3

NTA final key (2022 Session 1).

Chapter
System of Particles and Rotational Motion
Topic
Angular Momentum
Idea tested
Angular Momentum of Purely Rolling Body

Same idea in other shifts

Asked 2× in all
  1. 13 Apr 2023, Shift 1 · Q56A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to…MediumNumerical value

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.