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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceSingle correctMediumCalculation

JEE Main 31 August 2021, Shift 2, Physics Q11

Question 11 of 90 in this shift, Physics question 11 of 30, Section A.

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50×10350\times10^3 kg. The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform local distribution, calculate the compression strain of each column. [use Y=2.0×1011Y = 2.0\times10^{11} Pa, g=9.8g = 9.8 m/s2^2]
  1. (1)2.60×10−72.60\times10^{-7}Official answer
  2. (2)3.60×10−83.60\times10^{-8}
  3. (3)1.87×10−31.87\times10^{-3}
  4. (4)7.07×10−47.07\times10^{-4}

Official answer

Option 1

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Hooke's Law

Same idea in other shifts

Asked 5× in all
  1. 6 Apr 2024, Shift 2 · Q60A wire of cross sectional area AA, modulus of elasticity 2×1011 Nm−22\times10^{11}\ \mathrm{Nm^{-2}} and length 2 m is stretched between two…HardNumerical valueHas a figure
  2. 6 Apr 2023, Shift 1 · Q58A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is…EasyNumerical value
  3. 11 Apr 2023, Shift 1 · Q57The length of a wire becomes l1l_1 and l2l_2 when 100 N and 120 N tensions are applied respectively. If 10 l2=11 l110\,l_2 = 11\,l_1, the natural…MediumNumerical value
  4. 15 Apr 2023, Shift 1 · Q34A wire of length 'L' and radius 'r' is clamped rigidly at one end. When the other end of the wire is pulled by a force ff, its length…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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.