JEE Questions for Physics Mechanical Properties Of Solids Quiz 5 - MCQExams.com

In steel, the Young\'s modulus and the strain at the breaking point are 2 × 1011 Nm–2 and 0.15 respectively. The stress at the breaking point for steel is therefore
  • 1.33 × 1011 Nm–2
  • 1.33 × 1012 Nm–2
  • 7.5 × 10–13 Nm–2
  • 3 × 1010 Nm–2
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
Which one of the following quantities does not have the unit of force per unit area?
  • Stress
  • Strain
  • Young's modulus of elasticity
  • Pressure
A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have
  • Different stresses and strains
  • The same stress and strain
  • The same strain but different stresses
  • The same stress but different strains
Two wires of the same material have lengths in the ratio 1 : 2 and their radii are in the ratio 1∶√2 If they are stretched by applying equal forces, the increase in their lengths will be in the ratio
  • 2 : √2
  • √2 : 2
  • 1 : 1
  • 1 : 2
When a weight of 10 kg is suspended from a copper wire of length 3 metre and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be
  • 9.6 cm
  • 4.8 cm
  • 1.2 cm
  • 0.6 cm
A force of 103 newton stretches the length of a hanging wire by 1 millimetre. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimetre is
  • 4 × 103 N
  • 16 × 103 N

  • Physics-Mechanical Properties of Solids-79807.png

  • Physics-Mechanical Properties of Solids-79808.png
On applying a stress of 20 × 108 N/m2 the length of a perfectly elastic wire is doubled. Its Young\'s modulus will be
  • 40 × 108 N/m2
  • 20 × 108 N/m2
  • 10 × 108 N/m2
  • 5 × 108 N/m2
A wire is stretched by 0.01 m by a certain force F. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be
  • 0.005 m
  • 0.01 m
  • 0.02 m
  • 0.002 m
The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0°C, their difference in length (l2 – l1) will remain the same at a temperature if

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    Physics-Mechanical Properties of Solids-79813.png

  • Physics-Mechanical Properties of Solids-79814.png

  • Physics-Mechanical Properties of Solids-79815.png
A rod is fixed between two points at 20°C. The coefficient of linear expansion of material of rod is 1.1 × 10–5/°C and Young\'s modulus is 1.2 × 1011 N/m2. Find the stress developed in the rod if temperature of rod becomes 10°C
  • 1.32 × 107 N/m2
  • 1.10 × 1015 N/m2
  • 1.32 × 108 N/m2
  • 1.10 × 106 N/m2
Two similar wires under the same load yield elongation of 0.1 mm and 0.05 mm respectively. If the area of cross-section of the first wire is 4 mm2, then the area of cross-section of the second wire is
  • 6 mm2
  • 8 mm2
  • 10 mm2
  • 12 mm2
An iron rod of length 2m and cross section area of 50 mm2, stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young\'s modulus of the iron rod is
  • 19.6 × 1010 N/m2
  • 19.6 × 1015 N/m2
  • 19.6 × 1018 N/m2
  • 19.6 × 1020 N/m2
A steel wire of 1 m long and 1 mm2 cross-section area is hung from rigid end. When weight of 1 kg is hung from it then change in length will be (given Y = 2 × 1011 N/m2)
  • 0.5 mm
  • 0.25 mm
  • 0.05 mm
  • 5 mm
To break a wire, a force of 106 N/m2 is required. If the density of the material is 3 × 103 kg/m3, then the length of the wire which will break by its own weight will be
  • 34 m
  • 30 m
  • 300 m
  • 3 m
The extension in a string obeying Hooke\'s law is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5 x, the speed of sound will be
  • 1.22 v
  • 0.61 v
  • 1.50 v
  • 0.75 v
One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height 3L/4 from its lower end is

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    Physics-Mechanical Properties of Solids-79824.png

  • Physics-Mechanical Properties of Solids-79825.png

  • Physics-Mechanical Properties of Solids-79826.png
When a spring is stretched by a distance x, it exerts a force, given by F = (–5x – 16x3) N. The work done, when the spring is stretched from 0.1 m to 0.2 m is
  • 8.7 × 10–2 J
  • 12.2 × 10–2 J
  • 8.7 × 10–1 J
  • 12.2 × 10–1 J
A metalic rod of length l and cross-sectional area A is made of a material of Young modulus Y. If the rod is elongated by an amount y, then the work done is proportional to
  • y
  • 2)
    Physics-Mechanical Properties of Solids-79829.png
  • y2

  • Physics-Mechanical Properties of Solids-79830.png
Wires A and B are made from the same material. A has twice the diameter and three times the length of B. If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in A to that in B is
  • 2 : 3
  • 3 : 4
  • 3 : 2
  • 6 : 1
A brass rod of cross-sectional area 1 cm2 and length 0.2 m is compressed lengthwise by a weight of 5 kg. If Young\'s modulus of elasticity of brass is 1 × 1011 N/m2 and g = 10 m/sec2, then increase in the energy of the rod will be
  • 10–5 J
  • 2.5 × 10–5 J
  • 5 × 10–5 J
  • 2.5 × 10–4 J
A wire of length 50 cm and cross-sectional area of 1 sq. mm is extended by 1 mm. The required work will be (Y = 2 × 1010 Nm–2)
  • 6 × 10–2 J
  • 4 × 10–2 J
  • 2 × 10–2 J
  • 1 × 10–2 J
If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant)

  • Physics-Mechanical Properties of Solids-79835.png
  • 2)
    Physics-Mechanical Properties of Solids-79836.png

  • Physics-Mechanical Properties of Solids-79837.png

  • Physics-Mechanical Properties of Solids-79838.png
K is the force constant of a spring.The work done in increasing its extension from l1 to l2 will be

  • Physics-Mechanical Properties of Solids-79840.png
  • 2)
    Physics-Mechanical Properties of Solids-79841.png

  • Physics-Mechanical Properties of Solids-79842.png

  • Physics-Mechanical Properties of Solids-79843.png
When a 4 kg mass is hung vertically on a light spring that obeys Hooke\'s law, the spring stretches by 2 cm.The work required to be done by an external agent in stretching this spring by 5 cm will be (g = 9.8 m/sec2)
  • 4.900 J
  • 2.450 J
  • 0.495 J
  • 0.245 J
A wire of length L and cross-sectional area A is made of material of Young\'s modulus Y. It is stretched by an amount x. The work done (or energy stored) is

  • Physics-Mechanical Properties of Solids-79846.png
  • 2)
    Physics-Mechanical Properties of Solids-79847.png

  • Physics-Mechanical Properties of Solids-79848.png

  • Physics-Mechanical Properties of Solids-79849.png
To what depth below the surface of sea should a rubber ball be taken as to decrease its volume by 0.1%? (Take density of sea water = 1000 kgm–3, Bulk modulus of rubber = 9 × 108 Nm–2, acceleration due to gravity = 10 ms–2 ]
  • 9 m
  • 18 m
  • 180 m
  • 90 m
The compressibility of water is 4 × 10–5 per unit atmospheric pressure. The decrease in volume of 100 cubic centimetre of water under a pressure of 100 atmosphere will be
  • 0.4 cc
  • 4 × 10–5 cc
  • 0.025 cc
  • 0.004 cc
If a rubber ball is taken at the depth of 200 m in a pool, its volume decreases by 0.1%. If the density of the water is 1 × 103 kg/m3 and g = 10 m/s2, then the volume elasticity in N/m2 will be
  • 108
  • 2 × 108
  • 109
  • 2 × 109
For a constant hydraulic stress on an object, the fractional change in the object\'s volume (∆V/ V) and its bulk modulus (B) are related as

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    Physics-Mechanical Properties of Solids-79854.png

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