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Saturday, 31 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 10 April 2023, Shift 1, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

A closed circular tube of average radius 15 cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m/s, when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is ____________ J. (Given g=10g = 10 m/s2^2).

The figure, in words

Closed circular tube in a vertical plane (two concentric circles); a 1 kg block shown at the top of the tube with a downward arrow, and a horizontal arrow labelled 22 ms^-1; the inner diameter is marked 30 cm.

Official answer

245

NTA final key.

Chapter
Work, Energy and Power
Topic
Work and Kinetic Energy
Idea tested
Work-Energy Theorem

Same idea in other shifts

Asked 10× in all
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  3. 9 Apr 2024, Shift 1 · Q35A particle of mass m moves on a straight line with its velocity increasing with distance according to the equation v=αxv=\alpha\sqrt{x},…EasySingle correct
  4. 6 Apr 2023, Shift 1 · Q59A particle of mass 10 g moves in a straight line with retardation 2x2x, where xx is the displacement in SI units. Its loss of kinetic…MediumNumerical value
  5. 25 Jul 2022, Shift 1 · Q34A body of mass 0.50.5 kg travels on straight line path with velocity v=(3x2+4)v=(3x^2+4) m/s. The net workdone by the force during its…EasySingle correct
  6. 27 Jul 2022, Shift 2 · Q35The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant…MediumSingle correct
  7. 29 Jun 2022, Shift 1 · Q38A particle of mass 500 gm is moving in a straight line with velocity v=bx5/2v = bx^{5/2}. The work done by the net force during its…MediumSingle correct
  8. 3 Sep 2020, Shift 1 · Q21A cricket ball of mass 0.15 kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the…EasyNumerical 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.