Learn

Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 27 June 2022, Shift 2, Physics Q52

Question 52 of 90 in this shift, Physics question 22 of 30, Section B.

A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the wheel when it reaches at the bottom Q of the inclined plane PQ will be 12xgh\frac{1}{2}\sqrt{xgh} m/sm/s. The value of xx is ________.

The figure, in words

A triangle QPR on a horizontal base Q to R, apex P at the top near the left; angle alpha marked at Q and angle alpha marked at R. A wheel labelled 12 kg sits at P on the incline PQ, with a pulley at P; a string passes over the pulley down the hatched incline PR to a block labelled 3 kg at R. A dashed vertical line from P to the base is labelled h.

Official answer

3

NTA final key.

Chapter
System of Particles and Rotational Motion
Topic
Work and Kinetic Energy
Idea tested
Conservation of Mechanical Energy

Same idea in other shifts

Asked 7× in all
  1. 3 Apr 2025, Shift 1 · Q28A particle is released from height S above the surface of the earth. At certain height its kinetic energy is three times its potential…EasySingle correct
  2. 30 Jan 2024, Shift 1 · Q35A particle is placed at the point A of a frictionless track ABC as shown in figure. It is gently pushed towards right. The speed of the…EasyDiagram basedHas a figure
  3. 28 Jun 2022, Shift 1 · Q51A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the…EasyNumerical valueHas a figure
  4. 26 Aug 2021, Shift 1 · Q21A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If k is the kinetic energy of…MediumNumerical value
  5. 26 Feb 2021, Shift 2 · Q8A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about it is I.…MediumSingle correct
  6. 18 Mar 2021, Shift 1 · Q24As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts…EasyNumerical 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.