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Saturday, 31 October

JEE Main 2023 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 10 April 2023, Shift 1, Physics Q51

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

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The elongation of the steel wire is ____________ ×10−6 m\times 10^{-6}\,m. [Young's modulus for steel =2×1011 Nm−2= 2\times 10^{11}\,Nm^{-2} and g=10 ms−2g = 10\,ms^{-2}]

The figure, in words

Vertical suspension from a ceiling: a 1.6 m steel wire carries a 2 kg mass at its lower end; below that mass a 1 m brass wire carries a 1.14 kg mass at its lower end.

Official answer

20

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Series and Parallel Composite Wires

Same idea in other shifts

Asked 7× in all
  1. 4 Apr 2026, Shift 1 · Q34A string AA of length 0.3140.314 m and Young's modulus 2×1010 N/m22\times10^{10}\ \mathrm{N/m^2} is connected to another string BB of length and…MediumSingle correct
  2. 4 Apr 2026, Shift 2 · Q31A metal string AA is suspended from a rigid support and its free end is attached to a block of mass MM. Second block having mass 2M2M is…MediumSingle correct
  3. 6 Apr 2026, Shift 1 · Q34The two wires AA and BB of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire AA…EasySingle correct
  4. 27 Jul 2022, Shift 2 · Q37A steel wire of length 3.2 m (Ys=2.0×1011Y_s=2.0\times10^{11} Nm−2^{-2}) and a copper wire of length 4.4 m (Yc=1.1×1011Y_c=1.1\times10^{11} Nm−2^{-2}), both…MediumSingle correct
  5. 30 Jul 2022, Shift 2 · Q6A block of mass M is attached to a wire. The upper part of wire is made of steel and lower part of wire of copper ( as shown in figure ).…EasySingle correctHas a figure
  6. 25 Jul 2021, Shift 1 · Q18Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are Y1Y_1 and…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.