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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumData or graph

JEE Main 26 June 2022, Shift 1, Physics Q53

Question 53 of 90 in this shift, Physics question 23 of 30, Section B.

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5×10−45\times10^{-4} is __________ kJ/m3\mathrm{kJ/m^3}. Assume that material is elastic upto the linear strain of 5×10−45\times10^{-4}.

The figure, in words

Graph with Strain on the vertical axis (ticks 1x10^-10, 2x10^-10, 3x10^-10, 4x10^-10) and Stress [N/m^2] on the horizontal axis (ticks 20, 40, 60, 80); a straight line from the origin through four marked points (star marks) at stress 20, 40, 60, 80 against strain 1, 2, 3, 4 x10^-10 respectively.

Official answer

25

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Elastic Energy Density

Same idea in other shifts

Asked 4× in all
  1. 2 Apr 2025, Shift 1 · Q46A steel wire of length 2 m and Young's modulus 2.0×1011 N m−22.0\times10^{11}\ \mathrm{N\,m^{-2}} is stretched by a force. If Poisson ratio and…MediumNumerical value
  2. 8 Apr 2023, Shift 1 · Q34An aluminium rod with Young's modulus Y=7.0×1010 N/m2Y = 7.0\times10^{10}\ \mathrm{N/m^2} undergoes elastic strain of 0.04%0.04\%. The energy per unit…EasySingle correct
  3. 9 Jan 2020, Shift 2 · Q8Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume…MediumSingle correct

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.