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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 24 June 2022, Shift 1, Physics Q58

Question 58 of 90 in this shift, Physics question 28 of 30, Section B.

A 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 stays on the platform and the platform is depressed by a distance h2\frac{h}{2}. The spring constant is ______ Nm−1\mathrm{Nm^{-1}}. (Use g=10 ms−2g=10\ \mathrm{ms^{-2}})

The figure, in words

Ball released at height h above a platform mounted on a vertical spring fixed to the ground.

Official answer

120

NTA final key (2022 Session 1).

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. 8 Apr 2024, Shift 2 · Q34A 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…MediumDiagram basedHas a figure
  2. 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
  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.