-
question_answer1)
The length of an iron wire is L and area of cross-section is A. The increase in length is l on applying the force F on its two ends. Which of the statement is correct [NCERT 1976]
A)
Increase in length is inversely proportional to its length L done
clear
B)
Increase in length is proportional to area of cross-section A done
clear
C)
Increase in length is inversely proportional to A done
clear
D)
Increase in length is proportional to Young's modulus done
clear
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question_answer2)
The increase in length is l of a wire of length L by the longitudinal stress. Then the stress is proportional to [MP PET 1986]
A)
L/l done
clear
B)
l/L done
clear
C)
\[l\times L\] done
clear
D)
\[{{l}^{2}}\times L\] done
clear
View Solution play_arrow
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question_answer3)
The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied [IIT 1981; NCERT 1976; MP PET/PMT 1998; CPMT 1983, 90; MP PMT 1992, 94, 97; MP PET 1989, 90, 99]
A)
Length 100 cm, Diameter 1 mm done
clear
B)
Length 200 cm, Diameter 2 mm done
clear
C)
Length 300 cm, Diameter 3 mm done
clear
D)
Length 50 cm, Diameter 0.5 mm done
clear
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question_answer4)
The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same force, then the ratio of increase in length will be [MP PMT 1986; MP PET/PMT 1988]
A)
2 : 1 done
clear
B)
1 : 4 done
clear
C)
1 : 8 done
clear
D)
8 : 1 done
clear
View Solution play_arrow
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question_answer5)
The Young's modulus of a wire of length L and radius r is Y N/m2. If the length and radius are reduced to L/2 and r/2, then its Young's modulus will be [MP PMT 1985; MP PET 1997; KCET 1999]
A)
Y/2 done
clear
B)
Y done
clear
C)
2Y done
clear
D)
4Y done
clear
View Solution play_arrow
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question_answer6)
A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to [CPMT 1983, 84]
A)
\[{{Y}^{2}}\] done
clear
B)
Y done
clear
C)
1/Y done
clear
D)
\[1/{{Y}^{2}}\] done
clear
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question_answer7)
When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be [CPMT 1984, 90]
A)
0.5 cm done
clear
B)
2 cm done
clear
C)
4 cm done
clear
D)
8 cm done
clear
View Solution play_arrow
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question_answer8)
Hook's law defines [MP PMT/PET 1988]
A)
Stress done
clear
B)
Strain done
clear
C)
Modulus of elasticity done
clear
D)
Elastic limit done
clear
View Solution play_arrow
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question_answer9)
A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be [MP PMT 1987; AI SSCE 1982]
A)
6 mm done
clear
B)
3 mm done
clear
C)
24 mm done
clear
D)
48 mm done
clear
View Solution play_arrow
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question_answer10)
The area of cross-section of a wire of length 1.1 metre is 1 mm2. It is loaded with 1 kg. If Young's modulus of copper is \[1.1\times {{10}^{11}}\,N/{{m}^{2}}\], then the increase in length will be (If \[g=10\,m/{{s}^{2}})\] [MP PET 1989]
A)
0.01 mm done
clear
B)
0.075 mm done
clear
C)
0.1 mm done
clear
D)
0. 15 mm done
clear
View Solution play_arrow
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question_answer11)
On increasing the length by 0.5 mm in a steel wire of length 2 m and area of cross-section \[2\,m{{m}^{2}}\], the force required is [Y for steel\[=2.2\times {{10}^{11}}\,N/{{m}^{2}}]\]] [MP PET/PMT 1988]
A)
\[1.1\times {{10}^{5}}\,N\] done
clear
B)
\[1.1\times {{10}^{4}}\,N\] done
clear
C)
\[1.1\times {{10}^{3}}\,N\] done
clear
D)
\[1.1\times {{10}^{2}}\,N\] done
clear
View Solution play_arrow
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question_answer12)
If Young's modulus of iron is \[2\times {{10}^{11}}\,N/{{m}^{2}}\] and the interatomic spacing between two molecules is \[3\times {{10}^{-10}}\]metre, the interatomic force constant is [JIPMER 1978]
A)
60 N/m done
clear
B)
120 N/m done
clear
C)
30 N/m done
clear
D)
180 N/m done
clear
View Solution play_arrow
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question_answer13)
In CGS system, the Young's modulus of a steel wire is \[2\times {{10}^{12}}\]. To double the length of a wire of unit cross-section area, the force required is [MP PMT 1989]
A)
\[4\times {{10}^{6}}\]dynes done
clear
B)
\[2\times {{10}^{12}}\]dynes done
clear
C)
\[2\times {{10}^{12}}\]newtons done
clear
D)
\[2\times {{10}^{8}}\]dynes done
clear
View Solution play_arrow
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question_answer14)
The material which practically does not show elastic after effect is [JIPMER 1997; AMU (Engg.) 1999]
A)
Copper done
clear
B)
Rubber done
clear
C)
Steel done
clear
D)
Quartz done
clear
View Solution play_arrow
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question_answer15)
If the temperature increases, the modulus of elasticity
A)
Decreases done
clear
B)
Increases done
clear
C)
Remains constant done
clear
D)
Becomes zero done
clear
View Solution play_arrow
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question_answer16)
A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be [MP PET 1990]
A)
F/2 done
clear
B)
2F done
clear
C)
4F done
clear
D)
F/4 done
clear
View Solution play_arrow
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question_answer17)
The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity \[\eta \] is [MP PET 1991; MP PMT 1997]
A)
\[Y=\frac{9\eta K}{\eta +3K}\] done
clear
B)
\[\frac{9YK}{Y+3K}\] done
clear
C)
\[Y=\frac{9\eta K}{3+K}\] done
clear
D)
\[Y=\frac{3\eta K}{9\eta +K}\] done
clear
View Solution play_arrow
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question_answer18)
The diameter of a brass rod is 4 mm and Young's modulus of brass is \[9\times {{10}^{10}}\,N/{{m}^{2}}\]. The force required to stretch by 0.1% of its length is [MP PET 1991; BVP 2003]
A)
\[360\,\pi N\] done
clear
B)
36 N done
clear
C)
\[144\pi \times {{10}^{3}}N\] done
clear
D)
\[36\pi \times {{10}^{5}}N\] done
clear
View Solution play_arrow
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question_answer19)
If x longitudinal strain is produced in a wire of Young's modulus y, then energy stored in the material of the wire per unit volume is [MP PMT 1987, 89, 92; CPMT 1997; Pb. PMT 1999; KCET 2000; AIIMS 2001]
A)
\[y{{x}^{2}}\] done
clear
B)
\[2\,y{{x}^{2}}\] done
clear
C)
\[\frac{1}{2}{{y}^{2}}x\] done
clear
D)
\[\frac{1}{2}y{{x}^{2}}\] done
clear
View Solution play_arrow
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question_answer20)
In a wire of length L, the increase in its length is l. If the length is reduced to half, the increase in its length will be
A)
l done
clear
B)
2l done
clear
C)
\[\frac{l}{2}\] done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer21)
The Young's modulus of a rubber string 8 cm long and density \[1.5\,kg/{{m}^{3}}\] is \[5\times {{10}^{8}}\,N/{{m}^{2}}\], is suspended on the ceiling in a room. The increase in length due to its own weight will be [AIIMS 1986]
A)
\[9.6\times {{10}^{-5}}\,m\] done
clear
B)
\[9.6\times {{10}^{-11}}\,m\] done
clear
C)
\[9.6\times {{10}^{-3}}\,m\] done
clear
D)
9.6 m done
clear
View Solution play_arrow
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question_answer22)
A and B are two wires. The radius of A is twice that of B. They are stretched by the some load. Then the stress on B is [MP PMT 1993]
A)
Equal to that on A done
clear
B)
Four times that on A done
clear
C)
Two times that on A done
clear
D)
Half that on A done
clear
View Solution play_arrow
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question_answer23)
If the length of a wire is reduced to half, then it can hold the ......... load
A)
Half done
clear
B)
Same done
clear
C)
Double done
clear
D)
One fourth done
clear
View Solution play_arrow
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question_answer24)
To double the length of a iron wire having \[0.5\,c{{m}^{2}}\] area of cross-section, the required force will be \[(Y={{10}^{12}}\,dyne/c{{m}^{2}})\] [MP PMT 1987]
A)
\[1.0\times {{10}^{-7}}N\] done
clear
B)
\[1.0\times {{10}^{7}}N\] done
clear
C)
\[0.5\times {{10}^{-7}}N\] done
clear
D)
\[0.5\times {{10}^{12}}\]dyne done
clear
View Solution play_arrow
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question_answer25)
The spring balance does not read properly after its long use, because
A)
The elasticity of spring increases done
clear
B)
The elasticity decreases done
clear
C)
Its plastic power decreases done
clear
D)
Its plastic power increases done
clear
View Solution play_arrow
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question_answer26)
Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is [EAMCET 1983; MP PMT 1990; MP PET 1995]
A)
Four times for wire A as for wire B done
clear
B)
Twice for wire A as for wire B done
clear
C)
Half for wire A as for wire B done
clear
D)
One-fourth for wire A as for wire B done
clear
View Solution play_arrow
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question_answer27)
Why the spring is made up of steel in comparison of copper
A)
Copper is more costly than steel done
clear
B)
Copper is more elastic than steel done
clear
C)
Steel is more elastic than copper done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer28)
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 \[2\times {{10}^{11}}\,N/{{m}^{2}}\] and \[1.2\times {{10}^{11}}\,N/{{m}^{2}}\]. The ratio of increase in length [MP PET 1984]
A)
\[\frac{2}{5}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{5}{4}\] done
clear
D)
\[\frac{5}{2}\] done
clear
View Solution play_arrow
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question_answer29)
An area of cross-section of rubber string is \[2\,c{{m}^{2}}\]. Its length is doubled when stretched with a linear force of \[2\times {{10}^{5}}\]dynes. The Young's modulus of the rubber in \[dyne/c{{m}^{2}}\] will be [MP PET 1985]
A)
\[4\times {{10}^{5}}\] done
clear
B)
\[1\times {{10}^{5}}\] done
clear
C)
\[2\times {{10}^{5}}\] done
clear
D)
\[1\times {{10}^{4}}\] done
clear
View Solution play_arrow
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question_answer30)
Increase in length of a wire is 1 mm when suspended by a weight. If the same weight is suspended on a wire of double its length and double its radius, the increase in length will be [CPMT 1976]
A)
2 mm done
clear
B)
0.5 mm done
clear
C)
4 mm done
clear
D)
0.25 mm done
clear
View Solution play_arrow
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question_answer31)
The temperature of a wire of length 1 metre and area of cross-section \[1\,c{{m}^{2}}\] is increased from 0°C to 100°C. If the rod is not allowed to increase in length, the force required will be \[(\alpha ={{10}^{-5}}/{}^\circ C\] and \[Y={{10}^{11}}\,N/{{m}^{2}})\] [NCERT 1976; CPMT 1982, 91]
A)
\[{{10}^{3}}N\] done
clear
B)
\[{{10}^{4}}N\] done
clear
C)
\[{{10}^{5}}N\] done
clear
D)
\[{{10}^{9}}N\] done
clear
View Solution play_arrow
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question_answer32)
A rod of length l and area of cross-section A is heated from 0°C to 100°C. The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to [NCERT 1976]
A)
l done
clear
B)
\[{{l}^{-1}}\] done
clear
C)
A done
clear
D)
\[{{A}^{-1}}\] done
clear
View Solution play_arrow
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question_answer33)
An aluminum rod (Young's modulus \[=7\times {{10}^{9}}\,N/{{m}^{2}})\] 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 [MP PMT 1991]
A)
\[1\times {{10}^{-2}}\,{{m}^{2}}\] done
clear
B)
\[1.4\times {{10}^{-3}}\,{{m}^{2}}\] done
clear
C)
\[3.5\times {{10}^{-3}}\,{{m}^{2}}\] done
clear
D)
\[7.1\times {{10}^{-4}}\,{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer34)
Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be
A)
1 : 16 done
clear
B)
16 : 1 done
clear
C)
1 : 64 done
clear
D)
64 : 1 done
clear
View Solution play_arrow
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question_answer35)
A weight of 200 kg is suspended by vertical wire of length 600.5 cm. The area of cross-section of wire is \[1\,m{{m}^{2}}\]. When the load is removed, the wire contracts by 0.5 cm. The Young's modulus of the material of wire will be
A)
\[2.35\times {{10}^{12}}\,N/{{m}^{2}}\] done
clear
B)
\[1.35\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
C)
\[13.5\times {{10}^{11}}\,N/{{m}^{2}}\] done
clear
D)
\[23.5\times {{10}^{9}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer36)
If a load of 9 kg is suspended on a wire, the increase in length is 4.5 mm. The force constant of the wire is
A)
\[0.49\times {{10}^{4}}\,N/m\] done
clear
B)
\[1.96\times {{10}^{4}}\,N/m\] done
clear
C)
\[4.9\times {{10}^{4}}\,N/m\] done
clear
D)
\[0.196\times {{10}^{4}}\,N/m\] done
clear
View Solution play_arrow
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question_answer37)
The ratio of diameters of two wires of same material is n : 1. The length of wires are 4 m each. On applying the same load, the increase in length of thin wire will be
A)
\[{{n}^{2}}\] times done
clear
B)
n times done
clear
C)
2n times done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer38)
Longitudinal stress of \[1\,kg/m{{m}^{2}}\] is applied on a wire. The percentage increase in length is \[(Y={{10}^{11}}\,N/{{m}^{2}})\]
A)
0.002 done
clear
B)
0.001 done
clear
C)
0.003 done
clear
D)
0.01 done
clear
View Solution play_arrow
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question_answer39)
A steel wire is stretched with a definite load. If the Young's modulus of the wire is Y. For decreasing the value of Y
A)
Radius is to be decreased done
clear
B)
Radius is to be increased done
clear
C)
Length is to be increased done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer40)
The interatomic distance for a metal is \[3\times {{10}^{-10}}\,m\]. If the interatomic force constant is \[3.6\times {{10}^{-9}}\,N/{\AA}\], then the Young's modulus in \[N/{{m}^{2}}\] will be
A)
\[1.2\times {{10}^{11}}\] done
clear
B)
\[4.2\times {{10}^{11}}\] done
clear
C)
\[10.8\times {{10}^{-19}}\] done
clear
D)
\[2.4\times {{10}^{10}}\] done
clear
View Solution play_arrow
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question_answer41)
Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be [DPMT 1999]
A)
Equal to that of rubber done
clear
B)
Less than that of the rubber done
clear
C)
More than that of the rubber done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer42)
The force constant of a wire does not depend on
A)
Nature of the material done
clear
B)
Radius of the wire done
clear
C)
Length of the wire done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer43)
The elasticity of invar
A)
Increases with temperature rise done
clear
B)
Decreases with temperature rise done
clear
C)
Does not depend on temperature done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer44)
After effects of elasticity are maximum for
A)
Glass done
clear
B)
Quartz done
clear
C)
Rubber done
clear
D)
Metal done
clear
View Solution play_arrow
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question_answer45)
In suspended type moving coil galvanometer, quartz suspension is used because
A)
It is good conductor of electricity done
clear
B)
Elastic after effects are negligible done
clear
C)
Young's modulus is greater done
clear
D)
There is no elastic limit done
clear
View Solution play_arrow
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question_answer46)
A force of 200 N is applied at one end of a wire of length 2 m and having area of cross-section \[{{10}^{-2}}\,c{{m}^{2}}\]. The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire \[\alpha =8\times {{10}^{-6}}/{}^\circ C\] and Young's modulus \[Y=2.2\times {{10}^{11}}\,N/{{m}^{2}}\] and its temperature is increased by 5°C, then the increase in the tension of the wire will be
A)
4.2 N done
clear
B)
4.4 N done
clear
C)
2.4 N done
clear
D)
8.8 N done
clear
View Solution play_arrow
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question_answer47)
When compared with solids and liquids, the gases have
A)
Minimum volume elasticity done
clear
B)
Maximum volume elasticity done
clear
C)
Maximum Young's modulus done
clear
D)
Maximum modulus of rigidity done
clear
View Solution play_arrow
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question_answer48)
The length of a wire is 1.0 m and the area of cross-section is \[1.0\times {{10}^{-2}}\,c{{m}^{2}}\]. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is
A)
\[2.0\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
B)
\[4\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
C)
\[2.0\times {{10}^{11}}\,N/{{m}^{2}}\] done
clear
D)
\[2\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer49)
The quality of the material which opposes the change in shape, volume or length is called
A)
Intermolecular repulsion done
clear
B)
Intermolecular behaviour done
clear
C)
Viscosity done
clear
D)
Elasticity done
clear
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question_answer50)
For silver, Young's modulus is \[7.25\times {{10}^{10}}\,N/{{m}^{2}}\] and Bulk modulus is \[11\times {{10}^{10}}\,N/{{m}^{2}}\]. Its Poisson's ratio will be
A)
? 1 done
clear
B)
0.5 done
clear
C)
0.39 done
clear
D)
0.25 done
clear
View Solution play_arrow
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question_answer51)
The longitudinal strain is only possible in
A)
Gases done
clear
B)
Fluids done
clear
C)
Solids done
clear
D)
Liquids done
clear
View Solution play_arrow
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question_answer52)
If the density of the material increases, the value of Young's modulus
A)
Increases done
clear
B)
Decreases done
clear
C)
First increases then decreases done
clear
D)
First decreases then increases done
clear
View Solution play_arrow
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question_answer53)
Young's modulus of rubber is \[{{10}^{4}}\,N/{{m}^{2}}\] and area of cross-section is \[2\,c{{m}^{2}}\]. If force of \[2\times {{10}^{5}}\]dynes is applied along its length, then its initial length l becomes
A)
3L done
clear
B)
4L done
clear
C)
2L done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer54)
The elastic limit for a gas
A)
Exists done
clear
B)
Exists only at absolute zero done
clear
C)
Exists for a perfect gas done
clear
D)
Does not exist done
clear
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question_answer55)
If Young's modulus for a material is zero, then the state of material should be
A)
Solid done
clear
B)
Solid but powder done
clear
C)
Gas done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer56)
Liquids have no Poisson's ratio, because
A)
It has no definite shape done
clear
B)
It has greater volume done
clear
C)
It has lesser density than solid done
clear
D)
None of the above done
clear
View Solution play_arrow
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question_answer57)
A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be [NCERT 1980; AIIMS 1980; MP PET 1989, 92; MP PET/PMT 1988; MP PMT 1996, 2002; UPSEAT 2002]
A)
l done
clear
B)
2l done
clear
C)
\[\frac{l}{2}\] done
clear
D)
\[\frac{l}{4}\] done
clear
View Solution play_arrow
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question_answer58)
In steel, the Young's modulus and the strain at the breaking point are \[2\times {{10}^{11}}\,N{{m}^{-2}}\] and 0.15 respectively. The stress at the breaking point for steel is therefore [MP PET 1990; MP PMT 1992; DPMT 2001]
A)
\[1.33\times {{10}^{11}}\,N{{m}^{-2}}\] done
clear
B)
\[1.33\times {{10}^{12}}\,N{{m}^{-2}}\] done
clear
C)
\[7.5\times {{10}^{-13}}\,N{{m}^{-2}}\] done
clear
D)
\[3\times {{10}^{10}}\,N{{m}^{-2}}\] done
clear
View Solution play_arrow
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question_answer59)
Which of the following statements is correct [MP PET 1992]
A)
Hooke's law is applicable only within elastic limit done
clear
B)
The adiabatic and isothermal elastic constants of a gas are equal done
clear
C)
Young's modulus is dimensionless done
clear
D)
Stress multiplied by strain is equal to the stored energy done
clear
View Solution play_arrow
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question_answer60)
The force required to stretch a steel wire of \[1\,c{{m}^{2}}\] cross-section to 1.1 times its length would be \[(Y=2\times {{10}^{11}}\,N{{m}^{-2}})\] [MP PET 1992]
A)
\[2\times {{10}^{6}}\,N\] done
clear
B)
\[2\times {{10}^{3}}\,N\] done
clear
C)
\[2\times {{10}^{-6}}N\] done
clear
D)
\[2\times {{10}^{-7}}\,N\] done
clear
View Solution play_arrow
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question_answer61)
Which one of the following substances possesses the highest elasticity [MP PMT 1992; RPMT 1999; RPET 2000; MH CET (Med.) 2001]
A)
Rubber done
clear
B)
Glass done
clear
C)
Steel done
clear
D)
Copper done
clear
View Solution play_arrow
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question_answer62)
Which one of the following quantities does not have the unit of force per unit area [MP PMT 1992]
A)
Stress done
clear
B)
Strain done
clear
C)
Young's modulus of elasticity done
clear
D)
Pressure done
clear
View Solution play_arrow
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question_answer63)
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 [MP PMT 1992]
A)
Different stresses and strains done
clear
B)
The same stress and strain done
clear
C)
The same strain but different stresses done
clear
D)
The same stress but different strains done
clear
View Solution play_arrow
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question_answer64)
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 [EAMCET 1986]
A)
\[AE\frac{R}{r}\] done
clear
B)
\[AE\left( \frac{R-r}{r} \right)\] done
clear
C)
\[\frac{E}{A}\left( \frac{R-r}{A} \right)\] done
clear
D)
\[\frac{Er}{AR}\] done
clear
View Solution play_arrow
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question_answer65)
A wire extends by 1 mm when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be [EAMCET 1986]
A)
8 done
clear
B)
4 done
clear
C)
2 done
clear
D)
1 done
clear
View Solution play_arrow
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question_answer66)
Two wires of the same material have lengths in the ratio 1 : 2 and their radii are in the ratio \[1:\sqrt{2}\]. If they are stretched by applying equal forces, the increase in their lengths will be in the ratio [MP PET 1994]
A)
\[2:\sqrt{2}\] done
clear
B)
\[\sqrt{2}:2\] done
clear
C)
1 : 1 done
clear
D)
1 : 2 done
clear
View Solution play_arrow
-
question_answer67)
When a weight of 10 kg is suspended from a copper wire of length 3 metres 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 [MP PMT 1994]
A)
9.6 cm done
clear
B)
4.8 cm done
clear
C)
1.2 cm done
clear
D)
0.6 cm done
clear
View Solution play_arrow
-
question_answer68)
A force of \[{{10}^{3}}\] 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 [MP PMT 1995]
A)
\[4\times {{10}^{3}}\]N done
clear
B)
\[16\times {{10}^{3}}\]N done
clear
C)
\[\frac{1}{4}\times {{10}^{3}}\]N done
clear
D)
\[\frac{1}{16}\times {{10}^{3}}\]N done
clear
View Solution play_arrow
-
question_answer69)
Two wires ?A? and ?B? of the same material have radii in the ratio 2 : 1 and lengths in the ratio 4 : 1. The ratio of the normal forces required to produce the same change in the lengths of these two wires is [Haryana CEE 1996]
A)
1 : 1 done
clear
B)
2 : 1 done
clear
C)
1 : 4 done
clear
D)
1 : 2 done
clear
View Solution play_arrow
-
question_answer70)
Density of rubber is d. A thick rubber cord of length L and cross-section area A undergoes elongation under its own weight on suspending it. This elongation is proportional to
A)
dL done
clear
B)
Ad/L done
clear
C)
\[Ad/{{L}^{2}}\] done
clear
D)
\[d{{L}^{2}}\] done
clear
View Solution play_arrow
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question_answer71)
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
A)
P done
clear
B)
\[\frac{8}{7}P\] done
clear
C)
\[\frac{7}{8}P\] done
clear
D)
1.4 P done
clear
View Solution play_arrow
-
question_answer72)
The relation between \[\gamma ,\,\eta \] and K for a elastic material is
A)
\[\frac{1}{\eta }=\frac{1}{3\gamma }+\frac{1}{9K}\] done
clear
B)
\[\frac{1}{K}=\frac{1}{3\gamma }+\frac{1}{9\eta }\] done
clear
C)
\[\frac{1}{\gamma }=\frac{1}{3K}+\frac{1}{9\eta }\] done
clear
D)
\[\frac{1}{\gamma }=\frac{1}{3\eta }+\frac{1}{9K}\] done
clear
View Solution play_arrow
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question_answer73)
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 [MP PMT 1999]
A)
\[\frac{1}{{{L}^{2}}}\] done
clear
B)
\[\frac{1}{L}\] done
clear
C)
\[{{L}^{2}}\] done
clear
D)
L done
clear
View Solution play_arrow
-
question_answer74)
A wire of cross-sectional area \[3\,m{{m}^{2}}\] is first stretched between two fixed points at a temperature of 20°C. Determine the tension when the temperature falls to 10°C. Coefficient of linear expansion \[\alpha ={{10}^{-5}}{}^\circ {{C}^{-1}}\] and \[Y=2\times {{10}^{11}}\,N/{{m}^{2}}\] [EAMCET 1994]
A)
20 N done
clear
B)
30 N done
clear
C)
60 N done
clear
D)
120 N done
clear
View Solution play_arrow
-
question_answer75)
To keep constant time, watches are fitted with balance wheel made of [EAMCET 1994]
A)
Invar done
clear
B)
Stainless steel done
clear
C)
Tungsten done
clear
D)
Platinum done
clear
View Solution play_arrow
-
question_answer76)
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 [EAMCET (Engg.) 1995; CPMT 2001]
A)
0.005 m done
clear
B)
0.01 m done
clear
C)
0.02 m done
clear
D)
0.002 m done
clear
View Solution play_arrow
-
question_answer77)
The possible value of Poisson's ratio is [EAMCET (Med.) 1995]
A)
1 done
clear
B)
0.9 done
clear
C)
0.8 done
clear
D)
0.4 done
clear
View Solution play_arrow
-
question_answer78)
The coefficient of linear expansion of brass and steel are \[{{\alpha }_{1}}\] and \[{{\alpha }_{2}}\]. If we take a brass rod of length \[{{l}_{1}}\] and steel rod of length \[{{l}_{2}}\] at 0°C, their difference in length \[({{l}_{2}}-{{l}_{1}})\] will remain the same at a temperature if [EAMCET (Med.) 1995]
A)
\[{{\alpha }_{1}}{{l}_{2}}={{\alpha }_{2}}{{l}_{1}}\] done
clear
B)
\[{{\alpha }_{1}}l_{2}^{2}={{\alpha }_{2}}l_{1}^{2}\] done
clear
C)
\[\alpha _{1}^{2}{{l}_{1}}=\alpha _{2}^{2}{{l}_{2}}\] done
clear
D)
\[{{\alpha }_{1}}{{l}_{1}}={{\alpha }_{2}}{{l}_{2}}\] done
clear
View Solution play_arrow
-
question_answer79)
A rod is fixed between two points at 20°C. The coefficient of linear expansion of material of rod is \[1.1\times {{10}^{-5}}/{}^\circ C\] and Young's modulus is \[1.2\times {{10}^{11}}\,N/m\]. Find the stress developed in the rod if temperature of rod becomes 10°C [RPET 1997]
A)
\[1.32\times {{10}^{7}}\,N/{{m}^{2}}\] done
clear
B)
\[1.10\times {{10}^{15}}\,N/{{m}^{2}}\] done
clear
C)
\[1.32\times {{10}^{8}}\,N/{{m}^{2}}\] done
clear
D)
\[1.10\times {{10}^{6}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer80)
The extension of a wire by the application of load is 3 mm. The extension in a wire of the same material and length but half the radius by the same load is [CMEET Bihar 1995]
A)
12 mm done
clear
B)
0.75 mm done
clear
C)
15 mm done
clear
D)
6 mm done
clear
View Solution play_arrow
-
question_answer81)
A rubber pipe of density \[1.5\times {{10}^{3}}\,N/{{m}^{2}}\] and Young's modulus \[5\times {{10}^{6}}\,N/{{m}^{2}}\] is suspended from the roof. The length of the pipe is 8 m. What will be the change in length due to its own weight [RPET 1996]
A)
9.6 m done
clear
B)
\[9.6\times {{10}^{3}}\,m\] done
clear
C)
\[19.2\times {{10}^{-2}}\,m\] done
clear
D)
\[9.6\times {{10}^{-2}}\,m\] done
clear
View Solution play_arrow
-
question_answer82)
In which case there is maximum extension in the wire, if same force is applied on each wire [AFMC 1997]
A)
L = 500 cm, d = 0.05 mm done
clear
B)
L = 200 cm, d = 0.02 mm done
clear
C)
L = 300 cm, d = 0.03 mm done
clear
D)
L = 400 cm, d = 0.01 mm done
clear
View Solution play_arrow
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question_answer83)
If a spring is extended to length l, then according to Hook's law [CPMT 1997]
A)
\[F=kl\] done
clear
B)
\[F=\frac{k}{l}\] done
clear
C)
\[F={{k}^{2}}l\] done
clear
D)
\[F=\frac{{{k}^{2}}}{l}\] done
clear
View Solution play_arrow
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question_answer84)
Which of the following affects the elasticity of a substance [AIIMS 1999]
A)
Hammering and annealing done
clear
B)
Change in temperature done
clear
C)
Impurity in substance done
clear
D)
All of these done
clear
View Solution play_arrow
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question_answer85)
An iron rod of length 2m and cross section area of \[50\,m{{m}^{2}}\], 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 [AFMC 1999]
A)
\[19.6\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
B)
\[19.6\times {{10}^{15}}\,N/{{m}^{2}}\] done
clear
C)
\[19.6\times {{10}^{18}}\,N/{{m}^{2}}\] done
clear
D)
\[19.6\times {{10}^{20}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer86)
In solids, inter-atomic forces are [DCE 1999]
A)
Totally repulsive done
clear
B)
Totally attractive done
clear
C)
Combination of and done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer87)
A force F is applied on the wire of radius r and length L and change in the length of wire is l. If the same force F is applied on the wire of the same material and radius 2r and length 2L, Then the change in length of the other wire is [RPMT 1999]
A)
l done
clear
B)
2l done
clear
C)
l/2 done
clear
D)
4l done
clear
View Solution play_arrow
-
question_answer88)
The modulus of elasticity is dimensionally equivalent to [MH CET (Med.) 1999]
A)
Surface tension done
clear
B)
Stress done
clear
C)
Strain done
clear
D)
None of these done
clear
View Solution play_arrow
-
question_answer89)
Under elastic limit the stress is [MH CET 1999; KCET 1999]
A)
Inversely, proportional to strain done
clear
B)
Directly proportional to strain done
clear
C)
Square root of strain done
clear
D)
Independent of strain done
clear
View Solution play_arrow
-
question_answer90)
A steel wire of lm long and \[1\,m{{m}^{2}}\] cross section area is hang from rigid end. When weight of 1kg is hung from it then change in length will be (given \[Y=2\times {{10}^{11}}N/{{m}^{2}})\] [RPMT 2000]
A)
0.5 mm done
clear
B)
0.25 mm done
clear
C)
0.05 mm done
clear
D)
5 mm done
clear
View Solution play_arrow
-
question_answer91)
A load W produces an extension of 1mm 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 [RPET 2000]
A)
4 mm done
clear
B)
16 mm done
clear
C)
1 mm done
clear
D)
0.25 mm done
clear
View Solution play_arrow
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question_answer92)
The units of Young ?s modulus of elasticity are [CPMT 2000; KCET 2000]
A)
\[N{{m}^{-1}}\] done
clear
B)
N-m done
clear
C)
\[N{{m}^{-2}}\] done
clear
D)
\[N\text{-}{{m}^{2}}\] done
clear
View Solution play_arrow
-
question_answer93)
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 \[4m{{m}^{2}},\] then the area of cross section of the second wire is [CPMT 2000; Pb. PET 2002]
A)
\[6m{{m}^{2}}\] done
clear
B)
\[8m{{m}^{2}}\] done
clear
C)
\[10\,m{{m}^{2}}\] done
clear
D)
\[12\,m{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer94)
A 5 m long aluminium wire (\[Y=7\times {{10}^{10}}N/{{m}^{2}})\] of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire \[(Y=12\times {{10}^{10}}N/{{m}^{2}})\] of the same length under the same weight, the diameter should now be, in mm. [AMU 2000]
A)
1.75 done
clear
B)
1.5 done
clear
C)
2.5 done
clear
D)
5.0 done
clear
View Solution play_arrow
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question_answer95)
How much force is required to produce an increase of 0.2% in the length of a brass wire of diameter 0.6 mm [MP PMT 2000] (Young?s modulus for brass = \[0.9\times {{10}^{11}}N/{{m}^{2}}\])
A)
Nearly 17 N done
clear
B)
Nearly 34 N done
clear
C)
Nearly 51 N done
clear
D)
Nearly 68 N done
clear
View Solution play_arrow
-
question_answer96)
On applying a stress of \[20\times {{10}^{8}}\] N/\[{{m}^{2}}\] the length of a perfectly elastic wire is doubled. Its Young?s modulus will be [MP PET 2000]
A)
\[40\times {{10}^{8}}N/{{m}^{2}}\] done
clear
B)
\[20\times {{10}^{8}}N/{{m}^{2}}\] done
clear
C)
\[10\times {{10}^{8}}N/{{m}^{2}}\] done
clear
D)
\[5\times {{10}^{8}}N/{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer97)
When a uniform wire of radius r is stretched by a 2kg weight, the increase in its length is 2.00 mm. If the radius of the wire is r/2 and other conditions remain the same, the increase in its length is [EAMCET (Engg.) 2000]
A)
2.00 mm done
clear
B)
4.00 mm done
clear
C)
6.00mm done
clear
D)
8.00 mm done
clear
View Solution play_arrow
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question_answer98)
The length of an elastic string is a metre when the longitudinal tension is 4 N and b metre when the longitudinal tension is 5 N. The length of the string in metre when the longitudinal tension is 9 N is [EAMCET 2001]
A)
\[a-b\] done
clear
B)
\[5b-4a\] done
clear
C)
\[2b-\frac{1}{4}a\] done
clear
D)
\[4a-3b\] done
clear
View Solution play_arrow
-
question_answer99)
Stress to strain ratio is equivalent to [RPET 2001]
A)
Modulus of elasticity done
clear
B)
Poission?s Ratio done
clear
C)
Reyhold number done
clear
D)
Fund number done
clear
View Solution play_arrow
-
question_answer100)
Which is correct relation [RPET 2001]
A)
\[Y<\sigma \] done
clear
B)
\[Y>\sigma \] done
clear
C)
\[Y=\sigma \] done
clear
D)
\[\sigma =+1\] done
clear
View Solution play_arrow
-
question_answer101)
If the interatomic spacing in a steel wire is 3.0Å and \[{{Y}_{steel}}\]= \[20\times {{10}^{10}}N/{{m}^{2}}\] then force constant is [RPET 2001]
A)
\[6\times {{10}^{-2}}\,N/{\AA}\] done
clear
B)
\[6\times {{10}^{-9}}N/{\AA}\] done
clear
C)
\[4\times {{10}^{-5}}\,N/{\AA}\] done
clear
D)
\[6\times {{10}^{-5}}N/{\AA}\] done
clear
View Solution play_arrow
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question_answer102)
A copper wire of length 4.0m and area of cross-section \[1.2\,c{{m}^{2}}\] is stretched with a force of \[4.8\times {{10}^{3}}\] N. If Young?s modulus for copper is \[1.2\times {{10}^{11}}\,N/{{m}^{2}},\] the increase in the length of the wire will be [MP PET 2001]
A)
1.33 mm done
clear
B)
1.33 cm done
clear
C)
2.66 mm done
clear
D)
2.66 cm done
clear
View Solution play_arrow
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question_answer103)
A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young?s modulus is Y and coefficient of linear expansion is \[\alpha \]. If the temperature of the rod is increased by \[\Delta {{t}^{o}}C,\] the force exerted by the rod on the supports is [MP PMT 2001]
A)
\[Y\,A\,L\,\Delta t\] done
clear
B)
\[Y\ A\ \alpha \,\Delta t\] done
clear
C)
\[\frac{YL\alpha \Delta t}{A}\] done
clear
D)
\[Y\alpha \,A\,L\,\Delta t\] done
clear
View Solution play_arrow
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question_answer104)
According to Hook?s law of elasticity, if stress is increased, the ratio of stress to strain [KCET 2000 AIIMS 2001]
A)
Increases done
clear
B)
Decreases done
clear
C)
Becomes zero done
clear
D)
Remains constant done
clear
View Solution play_arrow
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question_answer105)
A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6 s. When some additional weights are added then time period is 0.7s. The extension caused by the additional weights is approximately given by [UPSEAT 2002]
A)
1.38 cm done
clear
B)
3.5 cm done
clear
C)
1.75 cm done
clear
D)
2.45 cm done
clear
View Solution play_arrow
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question_answer106)
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 [Kerala PET 2002]
A)
\[F/AY\] done
clear
B)
\[2F/AY\] done
clear
C)
\[\frac{1}{2}(F/AY)\] done
clear
D)
\[3F/AY\] done
clear
View Solution play_arrow
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question_answer107)
The mean distance between the atoms of iron is \[3\times {{10}^{-10}}m\] and interatomic force constant for iron is \[7\,N\,/m\]The Young?s modulus of elasticity for iron is [JIPMER 2002]
A)
\[2.33\times {{10}^{5}}\,N/{{m}^{2}}\] done
clear
B)
\[23.3\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
C)
\[233\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
D)
\[2.33\times {{10}^{10}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer108)
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 [Orissa JEE 2002]
A)
1 : 2 done
clear
B)
1 : 1 done
clear
C)
2 : 1 done
clear
D)
8 : 1 done
clear
View Solution play_arrow
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question_answer109)
The breaking stress of a wire depends upon [AIIMS 2002]
A)
Length of the wire done
clear
B)
Radius of the wire done
clear
C)
Material of the wire done
clear
D)
Shape of the cross section done
clear
View Solution play_arrow
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question_answer110)
The area of cross section of a steel wire \[(Y=2.0\times {{10}^{11}}N/{{m}^{2}})\]is \[0.1\ c{{m}^{2}}\]. The force required to double its length will be [MP PET 2002]
A)
\[2\times {{10}^{12}}N\] done
clear
B)
\[2\times {{10}^{11}}N\] done
clear
C)
\[2\times {{10}^{10}}N\] done
clear
D)
\[2\times {{10}^{6}}N\] done
clear
View Solution play_arrow
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question_answer111)
A rubber cord catapult has cross-sectional area \[25m{{m}^{2}}\]and initial length of rubber cord is \[10cm.\] It is stretched to \[5\,cm.\] and then released to project a missile of mass \[5gm.\] Taking \[{{Y}_{rubber}}=5\times {{10}^{8}}N/{{m}^{2}}\] velocity of projected missile is [CPMT 2002]
A)
\[20\,m{{s}^{-1}}\] done
clear
B)
\[100\,m{{s}^{-1}}\] done
clear
C)
\[250\,m{{s}^{-1}}\] done
clear
D)
\[200\,m{{s}^{-1}}\] done
clear
View Solution play_arrow
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question_answer112)
According to Hook?s law force is proportional to [RPET 2003]
A)
\[\frac{1}{x}\] done
clear
B)
\[\frac{1}{{{x}^{2}}}\] done
clear
C)
x done
clear
D)
\[{{x}^{2}}\] done
clear
View Solution play_arrow
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question_answer113)
In the Young?s experiment, If length of wire and radius both are doubled then the value of \[Y\] will become [RPET 2003]
A)
2 times done
clear
B)
4 times done
clear
C)
Remains same done
clear
D)
Half done
clear
View Solution play_arrow
-
question_answer114)
Minimum and maximum values of Poisson?s ratio for a metal lies between [Orissa JEE 2003]
A)
\[-\infty \] to +\[\infty \] done
clear
B)
0 to 1 done
clear
C)
\[-\infty \,\]to 1 done
clear
D)
0 to 0.5 done
clear
View Solution play_arrow
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question_answer115)
A wire of diameter 1mm 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 [Orissa JEE 2003]
A)
500 N done
clear
B)
1000 N done
clear
C)
10000 N done
clear
D)
4000 N done
clear
View Solution play_arrow
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question_answer116)
Young?s modulus of perfectly rigid body material is [KCET 2003]
A)
Zero done
clear
B)
Infinity done
clear
C)
\[\text{1}\times \text{1}{{\text{0}}^{\text{10}}}\,N/{{m}^{2}}\] done
clear
D)
\[\text{10}\times \text{1}{{\text{0}}^{\text{10}}}\,N/{{m}^{2}}\] done
clear
View Solution play_arrow
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question_answer117)
A wire of length 2 m is made from \[10\ c{{m}^{3}}\] of copper. A force F is applied so that its length increases 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 [MP PET 2003]
A)
0.8 cm done
clear
B)
1.6 cm done
clear
C)
2.4 cm done
clear
D)
3.2 cm done
clear
View Solution play_arrow
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question_answer118)
A wire of cross section 4 mm2 is stretched by 0.1 mm by a certain weight. How far (length) will be wire of same material and length but of area 8 mm2 stretch under the action of same force [Kerala PMT 2004]
A)
0.05 mm done
clear
B)
0.10 mm done
clear
C)
0.15 mm done
clear
D)
0.20 mm done
clear
E)
0.25 mm done
clear
View Solution play_arrow
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question_answer119)
A substance breaks down by a stress of 106 N/m2. If the density of the material of the wire is 3×103 kg/m3, then the length of the wire of the substance which will break under its own weight when suspended vertically, is [DPMT 2004]
A)
66.6 m done
clear
B)
60.0 m done
clear
C)
33.3 m done
clear
D)
30.0 m done
clear
View Solution play_arrow
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question_answer120)
A rubber cord 10 m long is suspended vertically. How much does it stretch under its own weight (Density of rubber is\[1500kg/{{m}^{3}},Y=\text{ }5\times {{10}^{8}}N/{{m}^{2}},\text{ }g\text{ }=\text{ }10m/{{s}^{2}}\]) [Pb. PET 2001]
A)
\[15\times {{10}^{4}}m\] done
clear
B)
\[7.5\times {{10}^{4}}m\] done
clear
C)
\[12\times {{10}^{4}}m\] done
clear
D)
\[25\times {{10}^{4}}m\] done
clear
View Solution play_arrow
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question_answer121)
The value of Poisson's ratio lies between [AIIMS 1985; MP PET 1986; DPMT 2002]
A)
?1 to \[\frac{1}{2}\] done
clear
B)
\[-\frac{3}{4}\] to \[-\frac{1}{2}\] done
clear
C)
\[-\frac{1}{2}\] to 1 done
clear
D)
1 to 2 done
clear
View Solution play_arrow
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question_answer122)
The Poisson's ratio cannot have the value [EAMCET 1989]
A)
0.7 done
clear
B)
0.2 done
clear
C)
0.1 done
clear
D)
0.5 done
clear
View Solution play_arrow
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question_answer123)
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 [MH CET 2004]
A)
+ 0.50 done
clear
B)
? 0.50 done
clear
C)
0.25 done
clear
D)
? 0.25 done
clear
View Solution play_arrow
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question_answer124)
A material has Poisson's ratio 0.50. If a uniform rod of it suffers a longitudinal strain of \[2\times {{10}^{-3}}\], then the percentage change in volume is [EAMCET 1987]
A)
0.6 done
clear
B)
0.4 done
clear
C)
0.2 done
clear
D)
Zero done
clear
View Solution play_arrow
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question_answer125)
Four identical rods are stretched by same force. Maximum extension is produced in
A)
\[L=10cm,\,\,D=1\,mm\] done
clear
B)
\[L=100\,cm,\,D=\,2mm\] done
clear
C)
\[L=200\,cm,\,D=\,3mm\] done
clear
D)
\[L=300\,cm,\,D=\,4\,mm\] done
clear
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