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Mechanical Properties of Solids

JEE Main 2026 (Online) 4th April Morning ShiftMCQEasy📈 Topic in 13% papers+4−1
Ques. 1JEE Main 2026, 4 April (Morning Shift)

The increase in the pressure required to decrease the volume ( V) of water is 6.3 107 N/m2. The percentage decrease in the volume is . (Bulk modulus of water =2.1 109 N/m2.)

  1. 2 %
  2. 3 %
  3. 6 %
  4. 4 %

Answer

(2) 3 %

Solution

Bulk modulus: B= P V/V

⇒ VV= PB= 6.3 1072.1 109=3 10-2

∴ Percentage decrease in volume = VV 100=3 \%

Answer: (2)

Keep practising — Mechanical Properties of Solids

Ques. 2JEE Main 2026, 4 April (Morning Shift)

A string A of length 0.314 m and Young's modulus 2 1010 N/m2 is connected to another string B of length and Young's modulus both twice of those of A. This series combination of strings is then suspended from a rigid support and its free end is fixed to a load of mass 0.8 kg. The net change in length of the combination is mm. (radius of both the strings is 0.2 mm and acceleration due to gravity = 10 m/s2) (Mass of both strings is to be neglected as compared to the mass of load)

  1. 3
  2. 2
  3. 1.9
  4. 1
Ques. 3JEE Main 2026, 4 April (Evening Shift)

A metal string A is suspended from a rigid support and its free end is attached to a block of mass M. Second block having mass 2M is suspended at the bottom of the first block using a string B. The area of cross sections of strings A and B are same. The ratio of lengths of strings of A to B is 2 and the ratio of their Young's moduli (YA/YB ) is 0.5. The ratio of elongations in A to B is .

  1. 1
  2. 4
  3. 8
  4. 6
Ques. 4JEE Main 2026, 2 April (Morning Shift)

A uniform wire of length l of weight w is suspended from the roof with a weight of W at the other end. The stress in the wire at l3 distance from the top is ( WA+ 2 wA ), where A is the cross sectional area of the wire. The value of is .

Ques. 5JEE Main 2026, 28 January (Morning Shift)

Two wires A and B made of different materials of lengths 6.0 cm and 5.4 cm, respectively and area of cross sections 3.0 10-5 m2 and 4.5 10-5 m2, respectively are stretched by the same magnitude under a given load. The ratio of the Young's modulus of A to that of B is x : 3. The value of x is

  1. 2
  2. 1
  3. 4
  4. 5
Ques. 6JEE Main 2026, 23 January (Morning Shift)

The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest Young's modulus ? [figure]

  1. B
  2. A
  3. D
  4. C
Ques. 7JEE Main 2025, 8 April (Evening Shift)

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is P 1011 N m-2, where the value of P is: (Take g = 3 m/s2)

  1. 2.5
  2. 25
  3. 10
  4. 5
Ques. 8JEE Main 2025, 8 April (Evening Shift)

A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 cm3. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was litre. (Take 1 atm = 105 Pa)

Ques. 9JEE Main 2025, 7 April (Morning Shift)

Two wires A and B are made of same material having ratio of lengths LALB = 13 and their diameters ratio dAdB = 2. If both the wires are stretched using same force, what would be the ratio of their respective elongations?

  1. 3 : 4
  2. 1 : 12
  3. 1 : 3
  4. 1 : 6
Ques. 10JEE Main 2025, 4 April (Morning Shift)

Two slabs with square cross section of different materials (1, 2) with equal sides (l) and thickness d1 and d2 such that d2 = 2d1 and l > d2. Considering lower edges of these slabs are fixed to the floor, we apply equal shearing force on the narrow faces. The angle of deformation is 2 = 2 1. If the shear modulus of material 1 is 4 109 N/m2, then shear modulus of material 2 is x 109 N/m2, where value of x is .

Ques. 11JEE Main 2025, 4 April (Evening Shift)

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 105 N at the top. Considering infinitesimally small displacement in the upper edge, the angular displacement of the rod axis from its original position would be : (shear modulus, G = 1010 N/m2)

  1. 1/160
  2. 1/2
  3. 1/4
  4. 1/40

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