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Saturday, 10 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumMulti-step

JEE Main 31 January 2024, Shift 2, Physics Q53

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

Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4.0×10−54.0\times10^{-5} m and Young's modulus of the metal is 2.0×10112.0\times10^{11} N/m2^2. The longitudinal strain developed in the wire is 1απ\frac{1}{\alpha\pi}. The value of α\alpha is ________. [Use g=10g=10 m/s2^2]

The figure, in words

Wire over a fixed smooth pulley hanging from the ceiling; 2 kg block hangs on the left (higher), 4 kg block hangs on the right (lower).

Official answer

12

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Stress and Strain Types

Same idea in other shifts

Asked 2× in all
  1. 2 Apr 2017 (offline) · Q1A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in…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 42 of the 174 JEE Main shifts held from 2017 to 2026.