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Mechanical Properties of Solids

JEE Main 2025 (Online) 28th January Evening ShiftNumericalEasy📈 Topic in 12% papers+4
Ques. 1JEE Main 2025, 28 January (Evening Shift)

The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of 7 106 Pa, would be mm3. (Given bulk modulus of copper = 1.4 1011 N m-2)

Answer

50

Solution

V = (0.1)3 = 10-3 m3

B = p V / V V = pVB

V = 7 106 10-31.4 1011 = 5 10-8 m3

1 m3 = 109 mm3 V = 50 mm3

Answer: 50

Keep practising — Mechanical Properties of Solids

Ques. 2JEE Main 2025, 24 January (Evening Shift)

The increase in pressure required to decrease the volume of a water sample by 0.2\% is P 105 Nm-2. Bulk modulus of water is 2.15 109 Nm-2. The value of P is .

Ques. 3JEE Main 2025, 23 January (Evening Shift)

A massless spring gets elongated by amount x1 under a tension of 5 N. Its elongation is x2 under the tension of 7 N. For the elongation of (5x1-2x2), the tension in the spring will be,

  1. 20 N
  2. 39 N
  3. 11 N
  4. 15 N
Ques. 4JEE Main 2024, 9 April (Morning Shift)

Two persons pull a wire towards themselves. Each person exerts a force of 200 N on the wire. Young's modulus of the material of wire is 1 1011 N m-2. Original length of the wire is 2 m and the area of cross section is 2 cm2. The wire will extend in length by .

Ques. 5JEE Main 2024, 6 April (Evening Shift)

A wire of cross sectional area A, modulus of elasticity 2 1011 Nm-2 and length 2 m is stretched between two vertical rigid supports. When a mass of 2 kg is suspended at the middle it sags lower from its original position making angle = 1100 radian on the points of support. The value of A is 10-4 m2 (consider x L). (given : g = 10 m/s2) [figure]

Ques. 6JEE Main 2024, 5 April (Morning Shift)

The density and breaking stress of a wire are 6 104 kg/m3 and 1.2 108 N/m2 respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is 13rd of the value on the surface of earth. The maximum length of the wire without breaking is m (take, g = 10 m/s2).

Ques. 7JEE Main 2024, 5 April (Evening Shift)

Match List I with List II : Choose the correct answer from the options given below :

  1. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
  2. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
  3. (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
  4. (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
Ques. 8JEE Main 2024, 4 April (Morning Shift)

An elastic spring under tension of 3 N has a length a. Its length is b under tension 2 N. For its length (3a-2b), the value of tension will be N.

Ques. 9JEE Main 2024, 1 February (Morning Shift)

With rise in temperature, the Young's modulus of elasticity :

  1. changes erratically
  2. increases
  3. decreases
  4. remains unchanged
Ques. 10JEE Main 2024, 1 February (Evening Shift)

One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other end. A similar wire is attached to the bottom of the load and another load of 1 kg hangs from this lower wire. Then the ratio of longitudinal strain of upper wire to that of the lower wire will be . [Area of cross section of wire =0.005 cm2, Y=2 1011 Nm-2 and g=10 ms-2]

Ques. 11JEE Main 2024, 31 January (Morning Shift)

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02\% is m. (Take density of sea water =103 kgm-3, Bulk modulus of rubber =9 108 Nm-2, and g=10 ms-2)

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