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JEE Questions for Physics Mechanical Properties Of Solids Quiz 9 - MCQExams.com
JEE
Physics
Mechanical Properties Of Solids
Quiz 9
The work per unit volume to stretch the length by 1% of a wire with cross-sectional area of 1 mm
2
will be. [Y = 9 × 10
11
N/m
2
]
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0%
9 × 1011 J
0%
4.5 × 107 J
0%
9 × 107 J
0%
4.5 × 1011 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 × 10
10
Nm
–2
)
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0%
6 × 10–2 J
0%
4 × 10–2 J
0%
2 × 10–2 J
0%
1 × 10–2 J
When a force is applied on a wire of uniform cross-sectional area 3 × 10
–6
m
2
and length 4 m, the increase in length is 1 mm. Energy stored in it will be (Y = 2 x 10
11
N/m
2
)
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0%
0.075 J
0%
6250 J
0%
0.177 J
0%
0.150 J
K is the force constant of a spring. The work done in increasing its extension from
l
1
to
l
2
will be
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0%
0%
2)
0%
0%
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/sec
2
)
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0%
4.900 J
0%
2.450 J
0%
0.495 J
0%
0.245 J
The elastic energy stored per unit volume in a stretched wire is
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0%
0%
2)
0%
0%
If the volume of a block of aluminum is decreased by 1%, the pressure (stress) on its surface is increased by (Bulk modulus of Al = 7.5 x 10
10
Nm
–2
)
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0%
7.5 × 1010 Nm–2
0%
7.5 × 108 Nm–2
0%
7.5 × 106 Nm–2
0%
7.5 × 104 Nm–2
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0%
0%
2)
0%
0%
The only elastic modulus that applies to fluids is
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0%
Young's modulus
0%
Shear modulus
0%
Modulus of rigidity
0%
Bulk modulus
The compressibility of water is 4 × 10
-5
per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of
Report Question
0%
0.4 cc
0%
4 × 10-5 cc
0%
0.025 cc
0%
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 × 10
3
kg/m
3
and g = 10 m/s
2
, then the volume elasticity in N/m
2
will be
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0%
108
0%
2 × 108
0%
109
0%
2 × 109
For a constant hydraulic stress on an object, the fractional change in the object\'s volume (ΔV/V) and its bulk modulus (B) are related as
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0%
0%
2)
0%
0%
The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume? The volume elasticity of the cube is β and the coefficient of volume expansion is α
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0%
0%
2)
0%
0%
Bulk modulus was first defined by
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0%
Young
0%
Bulk
0%
Maxwell
0%
None of these
The ratio of two specific heats of gas C
p
/C
v
for argon is 1.6 and for hydrogen is 1.4. Adiabatic elasticity of argon at pressure P is E. Adiabatic elasticity of hydrogen will also be equal to E at the pressure
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0%
P
0%
2)
0%
0%
1.4P
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0%
0%
2)
0%
0%
108. The compressibility of water is 6 × 10
–10
N
–1
m
2
. If one litre is subjected to a pressure of 4 × 10
7
Nm
–2
, the decrease in its volume is
Report Question
0%
2.4 cc
0%
10 cc
0%
24 cc
0%
15 cc
0%
12 cc
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0%
0.82%
0%
0.91%
0%
1.36%
0%
1.24%
0%
1.52%
A material has Poisson\'s ratio 0.50. If a uniform rod of it suffers a longitudinal strain of 2 x 10
-3
then the percentage change in volume is
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0%
0.6
0%
0.4
0%
0.2
0%
Zero
There is no change in the volume of a wire due to change in its length on stretching. The Poisson\'s ratio of the material of the wire is
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0%
+ 0.50
0%
– 0.50
0%
+ 0.25
0%
– 0.25
Which of the following relations is true?
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0%
0%
2)
0%
0%
Two wires A and B of same length and of the same material have the respective radii r
1
and r
2
. Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then, the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be
Report Question
0%
0%
2)
0%
0%
The Poisson\'s ratio can not have the value
Report Question
0%
0.7
0%
0.2
0%
0.1
0%
0.5
Modulus of rigidity of a liquid
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0%
Non-zero constant
0%
Infinite
0%
Zero
0%
Can not be predicted
For a given material, the Young\'s modulus is 2.4 times that of rigidity modulus. Its Poisson\'s ratio is
Report Question
0%
2.4
0%
1.2
0%
0.4
0%
0.2
Minimum and maximum values of Poisson\'s ratio for a metal lies between
Report Question
0%
–∞ to +∞
0%
0 to 1
0%
–∞ to 1
0%
0 to 0.5
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30°. Then, angle of shear is
Report Question
0%
12°
0%
0.12°
0%
1.2°
0%
0.012°
A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be
Report Question
0%
0.002
0%
0.004
0%
0.008
0%
0.016
A rod of length land radius r is joined to a rod of length 1/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of 0°, the twist angle at the joint will be
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0%
0/4
0%
0/2
0%
50/6
0%
80/9
Shearing stress causes change in
Report Question
0%
Length
0%
Breadth
0%
Shape
0%
Volume
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