JEE Questions for Physics Mechanical Properties Of Solids Quiz 10 - MCQExams.com

The relationship between Young\'s modulus Y, Bulk modulus K and modulus of rigidity η is

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  • 2)
    Physics-Mechanical Properties of Solids-80064.png

  • Physics-Mechanical Properties of Solids-80065.png

  • Physics-Mechanical Properties of Solids-80066.png
Which is correct relation?
  • Y < σ
  • Y > σ
  • Y = σ
  • σ = + 1
The relation between γ, η and K for a elastic material is

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  • 2)
    Physics-Mechanical Properties of Solids-80070.png

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A light rod of length 2 m suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight W is hung from a light rod as shown in figure. The rod hung by means of a steel wire of cross-sectional area A1 = 0.1 cm2 and brass wire of cross-sectional area A2 = 0.2 cm2. To have equal stress in both wires, T1/T1 is equal to
Physics-Mechanical Properties of Solids-80073.png
  • 1/3
  • 1/4
  • 4/3
  • 1/2
Two rods of different materials having coefficients of linear expansion a1, a2 and Young\'s moduli Y1 and Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If a1 : a2 = 2 : 3, the thermal stresses developed in the two rods are equally provided Y1: Y2 is equal to
  • 2: 3
  • 1: 1
  • 3: 2
  • 4: 9
The extension in a string obeying Hooke\'s law is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5 x, the speed of sound will be
  • 1.22v
  • 0.61v
  • 1.50v
  • 0.75 v
One end of a uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height 3L/4 from its lower end is

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  • 2)
    Physics-Mechanical Properties of Solids-80078.png

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A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation F = –kx + F0 in which k and F0 are constants. The particle when disturbed will oscillate

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  • 2)
    Physics-Mechanical Properties of Solids-80083.png

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A student performs an experiment to determine the Young\'s modulus of a wire, exactly 2 m long, by Searle\'s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s2 (exact). The Young\'s modulus obtained from the reading is
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 ± 0.× 1011 N/m2
  • (2.0 + 0.× 1011 N/m2
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 0.7 s. The extension caused by the additional weight is approximately given by
  • 1.38 cm
  • 3.5 cm
  • 1.75 cm
  • 2.45 cm
If the ratio of lengths, radii and Young\'s modulus of steel and brass wires shown in the figure are a, b and c, respectively. The ratio between the increase in lengths of brass and steel wires would be
Physics-Mechanical Properties of Solids-80088.png

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  • 2)
    Physics-Mechanical Properties of Solids-80090.png

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A wire of length 2L and radius r is stretched between A and B without the application of any tension. If Y is the Young\'s modulus of the wire and it is stretched like ACB, then the tension in the wire will be
Physics-Mechanical Properties of Solids-80094.png

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  • 2)
    Physics-Mechanical Properties of Solids-80096.png

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A wooden wheel of radius R is made of two semicircular parts (see figure). The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less then 2TER. To fit the ring on the wheel, it is heated so that its temperature rises by AT and it just steps over the wheel. As it cools down to surrounding temperature, it presses the semicircular parts together. If the coefficient of linear expansion of the metal is a, and its Young\'s modulus is Y, the force that one part of the wheel applies on the other part is
Physics-Mechanical Properties of Solids-80100.png

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  • 2)
    Physics-Mechanical Properties of Solids-80102.png

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The graph shown was obtained from experimental measurements of the period of oscillations T for different masses M placed in the scale pan on the lower end of the spring balance. The most likely reason for the line not passing through the origin is that the
Physics-Mechanical Properties of Solids-80106.png
  • Spring did not obey Hooke's Law
  • Amplitude of the oscillations was too large
  • Clock used needed regulating
  • Mass of the pan was neglected
A graph is shown between stress and strain for a metal. The part in which Hooke\'s law holds good is
Physics-Mechanical Properties of Solids-80108.png
  • OA
  • AB
  • BC
  • CD
The strain-stress curves of three wires of different materials are shown in the figure. P, Q and R are the elastic limits of the wires. The figure shows that
Physics-Mechanical Properties of Solids-80110.png
  • Elasticity of wire P is maximum
  • Elasticity of wire Q is maximum
  • Tensile strength of R is maximum
  • None of the above is true
The diagram shows a force-extension graph for a rubber band. Consider the following statements
I. It will be easier to compress this rubber than expand it
II. Rubber does not return to its original length after it is stretched
III. The rubber band get heated if it is stretched and released
Which of these can be deduced from the graph?
Physics-Mechanical Properties of Solids-80112.png
  • Only III
  • II and III
  • I and III
  • Only I
The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If YA and YB are the Young\'s modulii of the materials, then
Physics-Mechanical Properties of Solids-80113.png
  • YB = 2 YA
  • YA — YB
  • YB = 3YA
  • YA = 3 YB
The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line
Physics-Mechanical Properties of Solids-80115.png
  • OD
  • OC
  • OB
  • OA
The graph is drawn between the applied force F and the strain (x) for a thin uniform wire. The wire behaves as a liquid in the part
Physics-Mechanical Properties of Solids-80117.png
  • ab
  • be
  • cd
  • oa
The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke\'s law. P and Q represent
Physics-Mechanical Properties of Solids-80118.png
  • P = Applied force, Q = Extension
  • P = Extension, Q = Applied force
  • P = Extension, Q = Stored elastic energy
  • P = Stored elastic energy, Q = Extension
The potential energy U between two molecules as a function of the distance X between them has been shown in the figure. The two molecules are
Physics-Mechanical Properties of Solids-80120.png
  • Attracted when x lies between A and B and are repelled when X lies between B and C
  • Attracted when x lies between B and C and are repelled when X lies between A and B
  • Attracted when they reach B
  • Repelled when they reach B
The value of force constant between the applied elastic force F and displacement will be Y
Physics-Mechanical Properties of Solids-80122.png

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    Physics-Mechanical Properties of Solids-80124.png

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Which one of the following is the Young\'s modulus (in N/m2) for the wire having the stress-strain curve shown in the figure?
Physics-Mechanical Properties of Solids-80128.png
  • 24 × 1011
  • 8 × 1011
  • 10 × 1011
  • 2 × 1011
The diagram shows the change x in the length of a thin uniform wire caused by the application of stress F at two different temperatures T1 and T2. The variations shown suggest
Physics-Mechanical Properties of Solids-80130.png
  • T1 > T2
  • T1 < T2
  • T1 = T2
  • None of these
A student plots a graph from his reading on the determination of Young\'s modulus of a metal wire but forgets to label. The quantities on X and Y axes may be respectively.
Physics-Mechanical Properties of Solids-80131.png
  • Weight hung and length increased
  • Stress applied and length increased
  • Stress applied and strain developed
  • Length increased and weight hung
The points of maximum and minimum attraction in the curve between potential u energy (U) and distance diatomic are
Physics-Mechanical Properties of Solids-80132.png
  • S and R
  • T and S
  • R and S
  • S and T
Steel wire of length I at 40°C is suspended from the ceiling and then a mass \'m\' is hung from its free end. The wire is cooled down from 40°C to 30°C to regain its original length I\'. The coefficient of linear thermal expansion of the steel is 10-5/ °C, Young\'s modulus of steel is 1011 N/m2 and radius of the wire is 1 mm. Assume that L>>diameter of the wire. Then, the value of \'m\' in kg is nearly
  • 5
  • 4
  • 3
  • 6
Assertion: The stretching of a coil is determined by its shear modulus.
Reason Shear modulus change only shape of a body keeping its dimensions unchanged.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true
Assertion: Spring balances show correct readings even after they had been used for a long time interval.
Reason: On using for long time, spring balances losses its elastic strength.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false
  • If Assertion is false but Reason is true
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