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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyApplication

JEE Main 30 July 2022, Shift 2, Physics Q6

Question 6 of 90 in this shift, Physics question 6 of 30, Section A.

A 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 ). Both parts have the same area of cross section . Neglecting the mass of wires, the ratio of longitudinal strain developed in steel and copper wires is : ( Given, Young's modulus of steel = 2×10112 \times 10^{11} N/m2^2 and Young's modulus of copper = 1.5×1.5 \times 101110^{11} N/m2^2 )

The figure, in words

A vertical wire hangs from a ceiling; upper part labelled Steel, lower part labelled Copper (junction marked with a thick bar), a block M hangs from the lower end.
  1. (1)35\frac{3}{5}
  2. (2)45\frac{4}{5}
  3. (3)43\frac{4}{3}
  4. (4)34\frac{3}{4}Official answer

Official answer

Option 4

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. 10 Apr 2023, Shift 1 · Q51Two 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…MediumNumerical valueHas a figure
  5. 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
  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.