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JEE Questions for Physics Mechanical Properties Of Solids Quiz 7 - MCQExams.com
JEE
Physics
Mechanical Properties Of Solids
Quiz 7
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0%
E
0%
2E
0%
E/8
0%
E/4
0%
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/m
3
, Y = 5 × 10
8
N/m 2, g = 10 m/s
2
)
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0%
15 × 10–4 m
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7.5 × 10–4 m
0%
12 × 10–4 m
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25 × 10–4 m
A steel wire of cross-sectional area 3 × 10
–6
m
2
can withstand a maximum strain of 10
–3
. Young\'s modulus of steel is 2 × 10
11
N/m
2
. The maximum mass the wire can hold is (Take g = 10 m/s
2
)
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0%
40 kg
0%
60 kg
0%
80 kg
0%
100 kg
The Young\'s modulus of a rubber string 8 cm long and density 1.5 kg/m
3
is 5 × 10
8
N/m
2
, is suspended on the ceiling in a room. The increase in length due to its own weight will be
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9.6 × le m
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9.6 × 10–11 m
0%
9.6 × le m
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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
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0.25
0%
0.50
0%
2.00
0%
4.00
If the length of a wire is reduced to half, then it can hold the load
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0%
Half
0%
Same
0%
Double
0%
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
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0%
1 : 1
0%
2 : 1
0%
1 : 2
0%
4 : 1
When the length of a wire having cross-section area 10
–6
m
2
is stretched by 0.1%, then tension in it is 100 N. Young\'s modulus of material of the wire is
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0%
1012 N/m2
0%
102 N/m2
0%
1010 N/m2
0%
1011 N/m2
Why the spring is made up of steel in comparison of copper?
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Copper is more costly than steel
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Copper is more elastic than steel
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Steel is more elastic than copper
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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 × 10
11
N/m
2
and 1.2 × 10
11
N/m
2
. The ratio of increase in length
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0%
2/5
0%
3/5
0%
5/4
0%
5/2
An area of cross-section of rubber string is 2 cm
2
. Its length is doubled when stretched with a linear force of 2 × 10
5
dynes. The Young\'s modulus of the rubber in dyne/cm
2
will be
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0%
4 × 105
0%
1 × 105
0%
2 × 105
0%
1 × 104
The temperature of a wire of length 1 m
2
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 = 10
11
wm
2
)
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0%
103 N
0%
104 N
0%
105 N
0%
109 N
If longitudinal strain for a wire is 0.03 and its Poisson\'s ratio is 0.5, then its lateral strain is
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0%
0.003
0%
0.0075
0%
0.015
0%
0.4
An aluminium rod (Young\'s modulus = 7 × 10
9
N/m
2
) has a breaking strain of 0.2%. The minimum cross-sectional area of the rod in order to support a load of 10
4
Newton\'s is
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0%
1 × 10–2 m2
0%
1.4 × 10–3 m2
0%
3.5 × 10–3 m2
0%
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 mm
2
. When the load is removed, the wire contracts by 0.5 cm. The Young\'s modulus of the material of wire will be
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0%
2.35 × 1012 N/m2
0%
1.35 × 1010 N/m2
0%
13.5 × 1011 N/m2
0%
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)
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0%
21
0%
Zero
0%
1/2
0%
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
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0%
n2 times
0%
n times
0%
2n times
0%
None of these
Longitudinal stress of 1 N/mm
2
is applied on a wire. The percentage increase in length is (Y = 10
11
wm
2
)
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0%
0.002
0%
0.001
0%
0.003
0%
0.01
The area of cross-section of a steel wire (Y = 2.0 × 10
11
N/m
2
) is 0.1 cm
2
. The force required to double its length will be
Report Question
0%
2 × 1012 N
0%
2 × 1011 N
0%
2 × 1010 N
0%
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 F
A
and F
B
respectively they get equal increase in their lengths. Then the ratio F
A
/F
B
should be
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0%
1 : 2
0%
1 : 1
0%
2 : 1
0%
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 10
2
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 × 10
11
N/m
2
and its temperature is increased by 5°C, then the increase in the tension of the wire will be
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0%
4.2 N
0%
4.4 N
0%
2.4 N
0%
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
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0%
F/AY
0%
2F/AY
0%
1/2 (F/AY)
0%
3F/AY
The length of a wire is 1.0 m and the area of cross-section is 1.0 × 10
–2
cm
2
. 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
Report Question
0%
2.0 × 1010 N/m2
0%
4.0 × 1010 N/m2
0%
2.0 × 1011 N/m2
0%
4.0 × 1011 N/m2
The elastic energy stored in a wire of Young\'s modulus Y is
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0%
0%
2)
0%
0%
If the interatomic spacing in a steel wire is 3.0 A and Y
steel
= 20 × 10
10
N/m
2
, then force constant is
Report Question
0%
6 × 10–2 N/Å
0%
6 × 10–9 N/Å
0%
4 × 10–5 N/Å
0%
6 × 10–5 N/Å
A wire of length 2 m is made from 10 cm
3
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
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0%
0.8 cm
0%
1.6 cm
0%
2.4 cm
0%
3.2 cm
Which of the following statements is correct?
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Hooke's law is applicable only within elastic limit
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The adiabatic and isothermal elastic constants of a gas are equal
0%
Young's modulus is dimensionless
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Stress multiplied by strain is equal to the stored energy
Explanation
In accordance with Hooke’s law.
The force required to stretch a steel wire of 1 cm
2
cross- section to 1.1 times its length would be (Y = 2 × 10
11
Nm
–2
)
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0%
2 × 106 N
0%
2 × 103 N
0%
2 × 10–6 N
0%
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
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0%
0%
2)
0%
0%
According to Hooke\'s law force is proportional to
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0%
2)
0%
0%
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