JEE Questions for Physics Mechanical Properties Of Solids Quiz 1

Which of the following relation is true?

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Y = 2η ( 1 – 2σ )
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Y = 2η ( 1 + 2σ )
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Y = 2η ( 1 – σ )
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( 1 + σ ) 2η = Y

Which of the following substances has the highest elasticity?

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Sponge
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Steel
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Rubber
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Copper

On stretching a wire, the elastic energy stored per unit volume is

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Fl/2 AL
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FA/2L
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FL/2 A
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FL/2

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?

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length = 50 cm , diameter = 0.5 mm
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length = 100 cm, diameter = 1 mm
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length = 200 cm, diameter = 2 mm
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length = 300 cm, diameter = 3 mm.

If Young's modulus of elasticity Y for a material is 1.5 times its rigidity coefficient η , the Poisson's ratio σ will be

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0%
2)
0%
0%

For a given material, the Young's modulus is 2.4 times that of rigidity modulus. Its Poisson's ratio is

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2.4
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1.2
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0.4
0%
0.2

The Poisson's ratio cannot have the value

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0.7
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0.2
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0.1
0%
0.3

A wire is stretched under a force. If the wire suddenly snaps, the temperature of the wire

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remains the same
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decreases
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increases
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first decreases then increases

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4 y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, R is equal to

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0%
2)
0%
0%

The hollow shaft is ... than a solid shaft of same mass, material and length.

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less stiff
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more stiff
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equally stiff
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None of these

Physics-Mechanical Properties of Solids-79687.png

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2 × 1011 N/m
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2 × 10–11 N/m
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3 × 10–12 N/m
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2 × 10–13 N/m

The Bulk modulus for an incompressible liquid is

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zero
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unity
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infinity
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between 0 and 1

According to Hooke's law of elasticity, if stress is increased, then the ratio of stress to strain

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becomes zero
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remains constant
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decreases
0%
increases

Young's modulus of perfectly rigid body material is

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infinite
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zero
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10 × 1010 Nm-2
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1 × 1010 Nm-2

There is no change in the volume of a wire due to the change in its length on stretching. The Poisson\'s ratio of the material of the wire is

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0%
2)
0%
0%

Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The elastic potential energy per unit volume for the wires when stretched by the same force will be in the ratio

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16 : 1
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1 : 1
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2 : 1
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4 : 1

The Young\'s modulus of the material of a wire is 2 ×10¹⁰ Nm^-2. If the elongation strain is 1%, then the energy stored in the wire per unit volume in Jm^-3 is

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108
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106
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2 ×106
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2 ×108
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0.5 ×106

If in a wire of Young\'s modulus Y, longitudinal strain X is produced, then the potential energy stored in its unit volume will be

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0.5YX2
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0.5Y2X
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2YX2
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YX2

A U-tube of uniform cross section (see Fig) is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by 2 cm. If the specific gravity of liquid I is 1.1, the specific gravity of liquid II must be
Physics-Mechanical Properties of Solids-79694.png

Physics-Mechanical Properties of Solids-79694.png

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1.12
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1.1
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1.05
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1.0

Energy stored in stretching a string per unit volume is

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0%
2)
0%
0%

A wire fixed at the upper end stretches by length l by applying a force F. The work done in stretching is

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0%
Fl
0%
2Fl
0%

If S is stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is

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0%
2)
0%
0%

The energy stored per unit volume in copper wire, which produces longitudinal strain of 0.1% is (Y = 1.1×10¹¹Nm^-2)

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11×103Jm-3
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5.5 ×103Jm-3
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5.5 ×104Jm-3
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11 ×104Jm-3

If in a wire of Young's modulus Y, longitudinal strain X is produced, then the value of potential energy stored in its unit volume will be

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0.5YX2
0%
0.5Y2X
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2YX2
0%
YX2

The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied?

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L = 400 cm, r = 0.8 mm
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L = 300 cm, r = 0.6 mm
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L = 200 cm, r = 0.4 mm
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L = 100 cm, r = 0.2 mm

Physics-Mechanical Properties of Solids-79706.png

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Mg
0%
2)
0%
0%

The increase in pressure required to decrease the 200 L volume of a liquid by 0.008% in kPa is (Bulk modulus of the liquid = 2100 MPa is)

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8.4
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84
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92.4
0%
168

Physics-Mechanical Properties of Solids-79710.png

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0%
2)
0%
0%

A wire of length L and radius r fixed at one end and a force F applied to the other end produces an extension l . The extension produced in another wire of the same material of length 2L and radius 2r by a force 2F, is

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0%
2)
0%
0%

Two wires of same material and radius have their lengths in ratio 1: 2. If these wires are stretched by the same force, the strain produced in the two wires will be in the ratio

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2 : 1
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1 : 1
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1 : 2
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1 : 4

JEE Questions for Physics Mechanical Properties Of Solids Quiz 1 - MCQExams.com

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JEE Questions for Physics Mechanical Properties Of Solids Quiz 1 - MCQExams.com

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