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Friday, 9 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 topic in other shifts

All Angular Momentum questions
  1. 2 Apr 2026, Shift 1 · Q29The position of an object having mass 0.10.1 kg as a function of time tt is given as r⃗=(10t2i^+5t3j^)\vec r=\left(10t^2\hat i+5t^3\hat j\right) m. At…MediumOther
  2. 4 Apr 2025, Shift 2 · Q50A solid sphere with uniform density and radius R is rotating initially with constant angular velocity (ω1)(\omega_1) about its diameter.…MediumNumerical value
  3. 8 Apr 2025, Shift 2 · Q47A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm. By applying an external torque of 25π25\pi Nm for…MediumNumerical value
  4. 30 Jan 2024, Shift 2 · Q52Two discs of moment of inertia I1=4 kg m2I_1 = 4\ kg\,m^2 and I2=2 kg m2I_2 = 2\ kg\,m^2, about their central axes & normal to their planes, rotating with…EasyNumerical value
  5. 31 Jan 2024, Shift 2 · Q51A body of mass 'mm' is projected with a speed 'uu' making an angle of 45∘45^\circ with the ground. The angular momentum of the body about…MediumNumerical value
  6. 25 Jul 2021, Shift 1 · Q25A particle of mass 'mm' is moving in time 'tt' on a trajectory given by r⃗=10αt2i^+5β(t−5)j^\vec{r}=10\alpha t^2\hat{i}+5\beta(t-5)\hat{j} Where α\alpha…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 42 of the 174 JEE Main shifts held from 2017 to 2026.