JEE Questions for Physics Mechanical Properties Of Solids Quiz 2 - MCQExams.com

If the volume of a block of aluminium is decreased by 1%, the pressure (stress) on its surface is increased by (Bulk modulus of Al = 7.5 × 1010 Nm-2 )
  • 7.5 × 1010 Nm-2
  • 7.5 × 108 Nm-2
  • 7.5 × 106 Nm-2
  • 7.5 × 104 Nm-2
  • 7.5 × 102 Nm-2
Two wires of length l, radius r and length 2l, radius 2r respectively having same Young\'s modulus are hung with a weight mg. Net elongation is

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    Physics-Mechanical Properties of Solids-79722.png

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Which of the following rods of same material undergoes maximum elongation when subjected to a given force?
  • L=1 m, d= 2 mm
  • L = 1 m, d = 1 mm
  • L = 2 m, d = 1 mm
  • L = 2 m, d = 2 mm
A particular force (F )applied on a wire increases its length by 2 ×10-3 m. To increase the wire\'s length by 4 ×10-3 m the applied force will be
  • 4F
  • 3F
  • 2F
  • F
A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2%, the Bulk strain is
  • 0.02
  • 0.03
  • 0.04
  • 0.06
A wire elongates by l 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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    Physics-Mechanical Properties of Solids-79728.png
  • zero

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A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is
  • 200 N
  • 400 N
  • 600 N
  • 800 N
A gas has Bulk modulus K and natural density ρ. If pressure p is applied, what is change in density?

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    Physics-Mechanical Properties of Solids-79733.png

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    Physics-Mechanical Properties of Solids-79738.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
  • 0.2 J
  • 10 J
  • 20 J
  • 0.1 J
A wire of natural length l , Young\'s modulus Y and area of cross-section A is extended by x . Then, the energy stored in the wire is given by

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    Physics-Mechanical Properties of Solids-79743.png

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A work of 2×10 -2 J is done on a wire of length 50 cm and area of cross-section 0.5 mm2. If the Young\'s modulus of the material of the wire is 2 ×1010 Nm-2 ,then the wire must be
  • elongated to 50.1414 cm
  • contracted by 2.0 mm
  • stretched by 0.707 mm
  • of length changed to 49.293 cm
  • of length changed to 50.2 cm
A steel wire of length 4.7 m and cross-section 3.0 × 10-5 m2 stretches by the same amount as a copper wire of length 3.5 m and cross-section 4.0 × 10-5 m2 under a given load. What is the ratio of the Young\'s modulus of steel to that of copper?
  • 1.5 : 2
  • 1.8 : 2
  • 1.5 : 1
  • 1.8 : 1
A homogeneous solid cylinder of length L (L < H/2), crosssectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by
Physics-Mechanical Properties of Solids-79747.png

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    Physics-Mechanical Properties of Solids-79749.png
  • 4d

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A steel rod has a radius R = 9.5 mm and length L = 81 cm. A force F = 6.2 × 104 N stretches it along its length. What is the stress in the rod?
  • 0.95 ×108 N/m2
  • 1.1 ×108 N/m2
  • 2.2 ×108 N/m2
  • 3.2 ×108 N/m2
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 larger values of Young's modulus than elastomers.
  • Stress is not a vector quantity.
Two wires are made of the same material and have the same volume. However, wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by ∆x on applying force F, how much force is needed to stretch wire 2 by the same amount?
  • F
  • 4F
  • 6F
  • 9F
A 5 m long aluminium wire (Y = 7 ×1010 Nm-2) of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in the copper wire (Y = 12 × 102 Nm-2 ) of the same length under the same weight, the diameter should now be (in mm)
  • 2.3
  • 5.0
  • 1.75
  • 1.5
A steel wire of cross-sectional area 3 ×10-6 m2 can withstand a maximum strain of 10-3. Young\'s modulus of steel is 2 × 1011 Nm-2. The maximum mass the wire can hold is (take, g 10 ms-2 )
  • 40 kg
  • 60 kg
  • 80 kg
  • 100 kg
A copper rod of length L and radius r is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when ρ and Y are the density and Young's modulus of the copper respectively?

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The length of a rubber cord is l1 metre when the tension is 4 N and l2 metre when the tension is 6 N. The length when the tension is 9 N, is
  • ( 2.5l2 – 1.5l1 ) m
  • ( 6l2 – 1.5l1 ) m
  • ( 3l2 – 2l1 ) m
  • ( 3.5l2 – 2.5l1 ) m
  • ( 2.5l2 + 1.5l1 ) m
When a wire of length 10 m is subjected to a force of 100 N along its length, the lateral strain produced is 0.01× 10-3m. The Poisson\'s ratio was found to be 0.4. If the area of cross-section of wire is 0.025 m2 , its Young\'s modulus is
  • 1.6 × 108 Nm -2
  • 2.5 × 1010 Nm -2
  • 1.25 ×1011 Nm -2
  • 16 ×109 Nm -2
A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN. The shearing modulus of cube is
  • 2 × 109 Nm-2
  • 4 × 109 Nm-2
  • 8 × 109 Nm-2
  • 16 × 109 Nm-2
Assertion (A) Ductile metals are used to prepare thin wires.
Reason (R) In the stress – strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.
  • Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is not the correct explanation of A
  • A is true but R is false
  • A is false but R is true
The pressure of a medium is changed from 1.01 × 105 Pa to 1.165 × 105 Pa and change in volume is 10% keeping temperature constant. The Bulk modulus of the medium is
  • 204.8 × 105 Pa
  • 102.4 × 105 Pa
  • 51.2 × 105 Pa
  • 1.55 × 105 Pa
The radii and Young\'s modulii of two uniform wires A and B are in the ratio 2 : 1 and 1 : 2, respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire A is one percent, the percentage increase in length of the wire B is
  • 1.0
  • 1.5
  • 2.0
  • 3.0
The increase in length is l of a wire of length L by the longitudinal stress. Then the stress is proportional to
  • L/l
  • l/L
  • l × L
  • l2 × L
Which is the most elastic ?
  • Iron
  • Copper
  • Quartz
  • Wood
The material which practically does not show elastic effect is
  • Copper
  • Rubber
  • Steel
  • Quartz
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
  • F/2
  • 2F
  • 4F
  • F/4
0:0:1


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