JEE Questions for Physics Mechanical Properties Of Solids Quiz 7 - MCQExams.com


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  • E
  • 2E
  • E/8
  • E/4
  • E/2
A rubber cord 10 m long is suspended vertically. How much does it stretch under its own weight? (Density of rubber is 1500 kg/m3, Y = 5 × 108 N/m 2, g = 10 m/s2)
  • 15 × 10–4 m
  • 7.5 × 10–4 m
  • 12 × 10–4 m
  • 25 × 10–4 m
A steel wire of cross-sectional area 3 × 10–6 m2 can withstand a maximum strain of 10–3. Young\'s modulus of steel is 2 × 1011 N/m2. The maximum mass the wire can hold is (Take g = 10 m/s2)
  • 40 kg
  • 60 kg
  • 80 kg
  • 100 kg
The Young\'s modulus of a rubber string 8 cm long and density 1.5 kg/m3 is 5 × 108 N/m2, is suspended on the ceiling in a room. The increase in length due to its own weight will be
  • 9.6 × le m
  • 9.6 × 10–11 m
  • 9.6 × le m
  • 9.6 m
One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
  • 0.25
  • 0.50
  • 2.00
  • 4.00
If the length of a wire is reduced to half, then it can hold the load
  • Half
  • Same
  • Double
  • One fourth
There are two wires of same material and same length while the diameter of second wire is 2 times the diameter of first wire, then ratio of extension produced in the wires by applying same load will be
  • 1 : 1
  • 2 : 1
  • 1 : 2
  • 4 : 1
When the length of a wire having cross-section area 10–6 m2 is stretched by 0.1%, then tension in it is 100 N. Young\'s modulus of material of the wire is
  • 1012 N/m2
  • 102 N/m2
  • 1010 N/m2
  • 1011 N/m2
Why the spring is made up of steel in comparison of copper?
  • Copper is more costly than steel
  • Copper is more elastic than steel
  • Steel is more elastic than copper
  • None of the above
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
  • 2/5
  • 3/5
  • 5/4
  • 5/2
An area of cross-section of rubber string is 2 cm2. Its length is doubled when stretched with a linear force of 2 × 105 dynes. The Young\'s modulus of the rubber in dyne/cm2 will be
  • 4 × 105
  • 1 × 105
  • 2 × 105
  • 1 × 104
The temperature of a wire of length 1 m2 and area of cross-section 1 cm is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be (a = 10–5/°C and Y = 1011 wm2)
  • 103 N
  • 104 N
  • 105 N
  • 109 N
If longitudinal strain for a wire is 0.03 and its Poisson\'s ratio is 0.5, then its lateral strain is
  • 0.003
  • 0.0075
  • 0.015
  • 0.4
An aluminium 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
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 wire elongates by 1 mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)
  • 21
  • Zero
  • 1/2
  • 1
The ratio of diameters of two wires of same material is n : 1. The length of wires are 4 m each. One applying the same load, the increase in length of thin wire will be
  • n2 times
  • n times
  • 2n times
  • None of these
Longitudinal stress of 1 N/mm2 is applied on a wire. The percentage increase in length is (Y = 1011 wm2)
  • 0.002
  • 0.001
  • 0.003
  • 0.01
The area of cross-section of a steel wire (Y = 2.0 × 1011 N/m2) is 0.1 cm2. The force required to double its length will be
  • 2 × 1012 N
  • 2 × 1011 N
  • 2 × 1010 N
  • 2 × 106 N
Two wires A and B are of same materials. Their lengths are in the ratio 1 : 2 and diameters are in the ratio 2 : 1 when stretched by force FA and FB respectively they get equal increase in their lengths. Then the ratio FA/FB should be
  • 1 : 2
  • 1 : 1
  • 2 : 1
  • 8 : 1
A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section 102 cm–2. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire a= 8 × 10–6/°C and Young\'s modulus Y = 2.2 × 1011 N/m2 and its temperature is increased 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
A uniform plank of Young\'s modulus Y is moved over a smooth horizontal surface by a constant horizontal force F. The area of cross section of the plank is A. The compressive strain on the plank in the direction of the force is
  • F/AY
  • 2F/AY
  • 1/2 (F/AY)
  • 3F/AY
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 J, 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
The elastic energy stored in a wire of Young\'s modulus Y is

  • Physics-Mechanical Properties of Solids-79990.png
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    Physics-Mechanical Properties of Solids-79991.png

  • Physics-Mechanical Properties of Solids-79992.png

  • Physics-Mechanical Properties of Solids-79993.png
If the interatomic spacing in a steel wire is 3.0 A 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 2 m is made from 10 cm3 of copper. A force F is applied so that its length increased by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by
  • 0.8 cm
  • 1.6 cm
  • 2.4 cm
  • 3.2 cm
Which of the following statements is correct?
  • Hooke's law is applicable only within elastic limit
  • The adiabatic and isothermal elastic constants of a gas are equal
  • Young's modulus is dimensionless
  • Stress multiplied by strain is equal to the stored energy
The force required to stretch a steel wire of 1 cm2 cross- section to 1.1 times its length would be (Y = 2 × 1011 Nm–2)
  • 2 × 106 N
  • 2 × 103 N
  • 2 × 10–6 N
  • 2 × 10–7 N
A steel ring of radius r and cross-section area \'A\' is fitted on to a wooden disc of radius R(R > r). If Young\'s modulus be E, then the force with which the steel ring is expanded is

  • Physics-Mechanical Properties of Solids-79931.png
  • 2)
    Physics-Mechanical Properties of Solids-79932.png

  • Physics-Mechanical Properties of Solids-79933.png

  • Physics-Mechanical Properties of Solids-79934.png
According to Hooke\'s law force is proportional to

  • Physics-Mechanical Properties of Solids-79936.png
  • 2)
    Physics-Mechanical Properties of Solids-79937.png

  • Physics-Mechanical Properties of Solids-79938.png

  • Physics-Mechanical Properties of Solids-79939.png
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