JEE Questions for Physics Mechanical Properties Of Solids Quiz 8 - MCQExams.com

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 m 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
Stress to strain ratio is equivalent to
  • Modulus of elasticity
  • Poission's Ratio
  • Reynold number
  • Fund number
Young\'s modulus of perfectly rigid body material is
  • Zero
  • Infinity
  • 1 × 1010 N/m2
  • 10 × 1010 N/m2
A wire of diameter 1 mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of
  • 500 N
  • 1000 N
  • 10000 N
  • 4000 N
A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to

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    Physics-Mechanical Properties of Solids-79947.png

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To keep constant time, watches are fitted with balance wheel made of
  • Invar
  • Strainless steel
  • Tungsten
  • Platinum
In the Young\'s experiment, if length of wire and radius both are doubled, then the value of Y will become
  • 2 times
  • 4 times
  • Remains same
  • Half

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    Physics-Mechanical Properties of Solids-79954.png

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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
If a spring is extended to length l, then according to Hooke\'s law

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    Physics-Mechanical Properties of Solids-79960.png

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Which of the following affects the elasticity of a substance?
  • Hammering and annealing
  • Change in temperature
  • Impurity in substance
  • All of the above
An iron rod of length 2 m 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 load W produces an extension of 1 mm in a thread of radius r. Now, if the load is made 4W and radius is made 2r all other things remaining same, the extension will become
  • 4 mm
  • 16 mm
  • 1 mm
  • 0.25 mm
The modulus of elasticity is dimensionally equivalent to
  • Surface tension
  • Stress
  • Strain
  • None of these
Under elastic limit the stress is
  • Inversely proportional to strain
  • Directly proportional to strain
  • Square root of strain
  • Independent of strain
Young\'s modulus of the wire depends on
  • Length of the wire
  • Diameter of the wire
  • Material of the wire
  • Mass hanging from the wire
A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses M1 and M2 are suspended respectively from its free end. Then L is equal to

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    Physics-Mechanical Properties of Solids-79966.png

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Which of the following substances has the highest elasticity
  • Sponge
  • Steel
  • Rubber
  • Copper
Which one of the following statements is correct? In the case of
  • Shearing stress there is change in volume
  • Tensile stress there is no change in volume
  • Shearing stress there is no change in shape
  • Tensile stress there is no change in shape
Identify the incorrect statement
  • Young's modulus and shear modulus are relevant only for solids
  • Bulk modulus is relevant for solids, liquids and gases
  • Alloys have larger values of Young's modulus than metals
  • Metals have large values of Young's modulus than elastomers
A metalic rod of length 1 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

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    Physics-Mechanical Properties of Solids-79971.png

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The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is
  • Stress × Strain
  • 1/2 × Stress × Strain
  • 2 × Strain × Stress
  • Stress/Strain
Two wires of same diameter of the same material having the length 1 and 21. If the force F is applied on each, the ratio of the work done in the two wires will be
  • 1 : 2
  • 1 : 4
  • 2 : 1
  • 1 : 1
A 5 m long wire is fixed to the ceiling. A weight of 10 kg is hung at the lower end and is 1 m above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretching is
  • Zero
  • 0.05 J
  • 100 J
  • 500 J
If the forces constant of a wire is K, the work done in increasing the length of the wire by 1 is
  • Kl/2
  • Kl
  • Kl2/2
  • Kl2
An elastic material of Young\'s modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is

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    Physics-Mechanical Properties of Solids-79979.png

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A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is
  • 0.1 J
  • 0.2 J
  • 10 J
  • 20 J
Young\'s modulus of the material of a wire is Y. On pulling the wire by a force F, the increase in its length is x. The potential energy of the stretched wire is

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    Physics-Mechanical Properties of Solids-79985.png

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  • None of these
Which of the following is true for elastic potential energy density?
  • Energy density =1/2 × Strain × Stress
  • Energy density = (Strain)2 × Volume
  • Energy density = (Strain) × Volume
  • Energy density = (Stress) × Volume
0:0:1


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