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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueHardMulti-step

JEE Main 30 January 2024, Shift 1, Physics Q53

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

Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the wires A and B has cross-sectional area 0.005 cm20.005\ \mathrm{cm^2} and Young's modulus 2×1011 N m−22\times10^{11}\ \mathrm{N\,m^{-2}}. Neglecting friction, the longitudinal strain on wire B is ________ ×10−4\times10^{-4}. (Take g=10 m/s2g = 10\ \mathrm{m/s^2})

The figure, in words

Blocks P and Q on a horizontal table, connected by wire A (P to Q); wire B connects Q over a pulley at the table edge to hanging block R.

Official answer

2

NTA final key.

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

Same idea in other shifts

Asked 8× in all
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  3. 30 Jan 2024, Shift 1 · Q37Young's modules of material of a wire of length 'L' and cross-sectional area A is Y. If the length of the wire is doubled and…EasySingle correct
  4. 31 Jan 2024, Shift 2 · Q53Two 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…MediumNumerical valueHas a figure
  5. 6 Apr 2023, Shift 2 · Q53A metal block of mass m is suspended from a rigid support through a metal wire of diameter 14 mm. The tensile stress developed in the wire…EasyNumerical value
  6. 28 Jul 2022, Shift 2 · Q23A string of area of cross-section 4 mm24\ \mathrm{mm^2} and length 0.5 m is connected with a rigid body of mass 2 kg. The body is rotated in…MediumNumerical value
  7. 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 108 of the 174 JEE Main shifts held from 2017 to 2026.