Learn

Saturday, 31 October

JEE Main 2024 · PhysicsMultiple choiceDiagram basedMediumMulti-step

JEE Main 8 April 2024, Shift 2, Physics Q34

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

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

The figure, in words

A 5 kg block at the top of a smooth (μ=0\mu=0) incline of angle 30∘30^\circ, 10 m along the incline; at the bottom a horizontal rough stretch of 2 m (μ=0.5\mu=0.5) leading to a spring of k=100k=100 N/m fixed to a wall.
  1. (1)5\sqrt{5} m
  2. (2)6\sqrt{6} m
  3. (3)1 m
  4. (4)2 mOfficial answer

Official answer

Option 4

NTA final key.

Chapter
Work, Energy and Power
Topic
Work and Kinetic Energy
Idea tested
Maximum Compression of a Spring

Same idea in other shifts

Asked 4× in all
  1. 28 Jul 2022, Shift 1 · Q59A block of mass 'm' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm when, its speed is…MediumNumerical valueHas a figure
  2. 24 Jun 2022, Shift 1 · Q58A ball of mass 100 g is dropped from a height h=10h=10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball…MediumNumerical valueHas a figure
  3. 18 Mar 2021, Shift 2 · Q24A ball of mass 4 kg, moving with a velocity of 10 ms−1^{-1}, collides with a spring of length 8 m and force constant 100 Nm−1^{-1}. 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.