JEE Questions for Physics Mechanical Properties Of Solids Quiz 4 - MCQExams.com

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100°C is (For steel, Young's modulus is 2 × 1011 Nm-2 and coefficient of thermal expansion is 1.1 × 10-5 K-1)
  • 2.2 × 108 Pa
  • 2.2 × 109 Pa
  • 2.2 × 107 Pa
  • 2.2 × 106 Pa

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  • 0.5 mm
  • 1 mm
  • 1.5 mm
  • 2 mm

Physics-Mechanical Properties of Solids-79776.png
  • 0.82%
  • 0.91%
  • 1.36%
  • 1.24%
  • 1.52%
A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its cross-sectional area is 4.9 × 10-7 m2. If the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency 140 rad s-1. If the Young\'s modulus of the material of the wire is n × 109 Nm-2, the value of n is
  • 4
  • 2
  • 4.5
  • 5
A solid sphere of radius R made up of a material of Bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is

  • Physics-Mechanical Properties of Solids-79778.png
  • 2)
    Physics-Mechanical Properties of Solids-79779.png

  • Physics-Mechanical Properties of Solids-79780.png

  • Physics-Mechanical Properties of Solids-79781.png
A wire of length L and radius a rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2a is stretched with a force 2F, the increase in its length will be
  • l/4
  • l
  • l/2
  • 2l
A load of 1 kg weight is attached to one end of a steel wire of area of cross-section 3 mm2 and Young's modulus 1011 Nm-2. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is (take, g = 10 ms-2 )
  • 0.3 × 10 -4
  • 0.3 × 10 -3
  • 0.3 × 10 3
  • 0.3 × 10 4
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied?
  • Length 100 cm, Diameter 1 mm
  • Length 200 cm, Diameter 2 mm
  • Length 300 cm, Diameter 3 mm
  • Length 50 cm, Diameter 0.5 mm

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  • 2Y
  • Y/2
  • Y
  • Zero
Write Copper, Steel, Glass and Rubber in order of increasing coefficient of elasticity
  • Steel, Rubber, Copper, Glass
  • Rubber, Copper, Glass, Steel
  • Rubber, Glass, Steel, Copper
  • Rubber, Glass, Copper, Steel
The Young\'s modulus of the material of a wire is equal to the
  • Stress required to increase its length four times
  • Stress required to produce unit strain
  • Strain produced in it
  • Half the strain produced in it
  • Stress acting on it
If x longitudinal strain is produced in a wire of Young\'s modulus y, then energy stored in the material of the wire per unit volume is
  • yx2
  • 2yx2
  • 1/2 y2x
  • 1/2 yx2
Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increases in length is
  • Four times for wire A as for wire B
  • Twice for wire A as for wire B
  • Half for wire A as for wire B
  • One-fourth for wire A as for wire B
Steel and copper wires of same length are stretched by the same weight one after the other. Young\'s modulus of steel and copper are 2 × 1011 N/m2 and 1.2 × 1011 N/m2. The ratio of increase in length is
  • 2/5
  • 3/5
  • 5/4
  • 5/2
A substance breaks down by a stress of 106 N/m2. If the density of the material of the wire is 3 × 103 kg/m3, then the length of the wire of the substance which will break under its own weight when suspended vertically, is
  • 66.6 m
  • 60.0 m
  • 33.3 m
  • 30.0 m
The temperature of a wire of length 1 metre and area of cross-section 1 cm2 is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (α = 10–5/°C and Y = 1011 N/m2)
  • 103 N
  • 104 N
  • 105 N
  • 109 N
An aluminum rod (Young\'s modulus = 7 × 109 N/m2) has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in order to support a load of 104 Newton\'s is
  • 1 × 10–2 m2
  • 1.4 × 10–3 m2
  • 3.5 × 10–3 m2
  • 7.1 × 10–4 m2
Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be
  • 1 : 16
  • 16 : 1
  • 1 : 64
  • 64 : 1
A weight of 200 kg is suspended by vertical wire of length 600.5 cm. The area of cross-section of wire is 1 mm2. When the load is removed, the wire contracts by 0.5 cm. The Young\'s modulus of the material of wire will be
  • 2.35 × 1012 N/m2
  • 1.35 × 1010 N/m2
  • 13.5 × 1011 N/m2
  • 23.5 × 109 N/m2
A steel wire is stretched with a definite load. If the Young\'s modulus of the wire is Y. For decreasing the value of Y
  • Radius is to be decreased
  • Radius is to be increased
  • Length is to be increased
  • None of the above
Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be
  • Equal to that of rubber
  • Less than that of the rubber
  • More than that of the rubber
  • None of the above
The breaking stress of a wire depends upon
  • Length of the wire
  • Radius of the wire
  • Material of the wire
  • Shape of the cross section
The mean distance between the atoms of iron is 3 × 10–10 m and interatomic force constant for iron 7 N/m. The Young\'s modulus of elasticity for iron is
  • 2.33 × 105 N/m2
  • 23.3 × 1010 N/m2
  • 233 × 1010 N/m2
  • 2.33 × 1010 N/m2
A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section 10–2 cm2. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire α = 8 × 10–6 /°C and Young\'s modulus Y = 2.2 × 1011 N/m2 and its temperature is increased is by 5°C, then the increase in the tension of the wire will be
  • 4.2 N
  • 4.4 N
  • 2.4 N
  • 8.8 N
The length of a wire is 1.0 m and the area of cross-section is 1.0 × 10–2 cm2. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young\'s modulus of the material of the wire is
  • 2.0 × 1010 N/m2
  • 4.0 × 1010 N/m2
  • 2.0 × 1011 N/m2
  • 4.0 × 1011 N/m2
A rubber cord catapult has cross-sectional area 25 mm2 and initial length of rubber cord is 10 cm. It is stretched to 5 cm and then released to project a missile of mass 5 gm. Taking Yrubber = 5 × 108 N/m2 velocity of projected missile is
  • 20 ms–1
  • 100 ms–1
  • 250 ms–1
  • 200 ms–1
A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young\'s modulus is Y and coefficient of linear expansion is α. If the temperature of the rod is increased by ∆t °C, the force exerted by the rod on the supports is
  • YALΔt
  • YAαΔt

  • Physics-Mechanical Properties of Solids-79798.png
  • YαALΔt
Young\'s modulus of rubber is 104 N/m2 and area of cross-section is 2 cm2. If force of 2 × 105 dynes is applied along its length, then its initial length L becomes
  • 3L
  • 4L
  • 2L
  • None of these
If the interatomic spacing in a steel wire is 3.0 Å and Ysteel = 20 × 1010 N/m2 then force constant is
  • 6 × 10–2 N/Å
  • 6 × 10–9 N/Å
  • 4 × 10–5 N/Å
  • 6 × 10–5 N/Å
A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l . If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be
  • l
  • 2l
  • l/2
  • l/4
0:0:1


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