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Saturday, 31 October

JEE Main 2022 · PhysicsNumerical answerNumerical valueMediumData or graph

JEE Main 27 July 2022, Shift 2, Physics Q51

Question 51 of 90 in this shift, Physics question 21 of 30, Section B.

In an experiment to determine the Young's modulus, steel wires of five different lengths (1, 2, 3, 4, and 5 m) but of same cross section (2 mm2^2) were taken and curves between extenstion and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is x×1011x\times10^{11} Nm−2^{-2}, then the value of xx is ___________.

The figure, in words

Graph: y-axis labelled Extension/Load with unit printed as x10^-5 Nm^-2, with marks 0.25, 0.5, 0.75, 1.0, 1.25; x-axis Wire length (m) with 1,2,3,4,5; straight line through origin passing through points (1,0.25),(2,0.5),(3,0.75),(4,1.0),(5,1.25).

Official answer

2

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Searle's Experiment for Young's Modulus

Same idea in other shifts

Asked 2× in all
  1. 8 Apr 2025, Shift 2 · Q31A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine…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.