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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 26 July 2022, Shift 2, Physics Q50

Question 50 of 90 in this shift, Physics question 20 of 30, Section A.

The area of cross section of the rope used to lift a load by a crane is 2.5×10−4m22.5 \times 10^{-4}m^2. The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, the required area of cross section of the rope should be : (take gg=10 ms−210\ ms^{-2})
  1. (1)6.25×10−4m26.25 \times 10^{-4}\text{m}^2Official answer
  2. (2)10×10−4m210 \times 10^{-4}\text{m}^2
  3. (3)1×10−4m21 \times 10^{-4}\text{m}^2
  4. (4)1.67×10−4m21.67 \times 10^{-4}\text{m}^2

Official answer

Option 1

NTA final key.

Chapter
Mechanical Properties of Solids
Topic
Elasticity
Idea tested
Breaking Stress and Breaking Force

Same idea in other shifts

Asked 7× in all
  1. 5 Apr 2026, Shift 1 · Q43Two wires as shown in the figure below, made of steel and have breaking stress of 12×108 N/m212 \times 10^8\ \mathrm{N/m^2}. Area of cross-section…MediumSingle correctHas a figure
  2. 6 Apr 2026, Shift 1 · Q30A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×1084\times10^8 N/m2^2 and…MediumSingle correct
  3. 29 Jul 2022, Shift 2 · Q53A metal wire of length 0.5 m and cross-sectional area 10−4 m210^{-4}\ \mathrm{m^2} has breaking stress 5×108 Nm−25\times10^8\ \mathrm{Nm^{-2}}. A block…MediumNumerical value
  4. 26 Aug 2021, Shift 2 · Q13Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is…MediumDiagram basedHas a figure
  5. 27 Aug 2021, Shift 2 · Q24Wires W1W_1 and W2W_2 are made of same material having the breaking stress of 1.25×109 N/m21.25\times10^9\ \mathrm{N/m^2}. W1W_1 and W2W_2 have…MediumNumerical valueHas a figure
  6. 9 Jan 2020, Shift 1 · Q23A body of mass m=10 kg is attached to one end of a wire of length 0.3 m. The maximum angular speed (in rad s−1\mathrm{s^{-1}}) with which…MediumNumerical value

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.