JEE Questions for Physics Mechanical Properties Of Solids Quiz 11 - MCQExams.com

Assertion: Steel is more elastic than rubber.
Reason: Under given deforming force, steel is deformed less than rubber.
  • 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: Glassy solids have sharp melting point.
Reason: The bonds between the atoms of glassy solids get broken at the same temperature.
  • 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: A hollow shaft is found to be stronger than a solid shaft made of same material.
Reason: The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.
  • 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: Bulk modulus of elasticity (K) represents incompressibility of the material.
Reason: Bulk modulus of elasticity is proportional to change in pressure.
  • 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: Stress is the internal force per unit area of a body.
Reason: Rubber is less elastic than steel.
  • 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: The bridges are declared unsafe after a long use.
Reason: Elastic strength of bridges decreases with time.
  • If Assertion is true but Reason is false
  • 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 the Assertion and Reason both are false
  • If Assertion is false but Reason is true
Assertion: Two identical solid balls, one of ivory and the other of wet-clay are dropped from the same height on the floor. Both the balls will rise to same height after bouncing.
Reason: Ivory and wet-clay have same elasticity.
  • 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: Young\'s modulus for a perfectly plastic body is zero.
Reason: For a perfectly plastic body, restoring force is zero.
  • 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: Identical springs of steel and copper are equally stretched. More work will be done on the steel spring.
Reason: Steel is more elastic than copper.
  • 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
Two wires A and B of same length, same area of cross-section having the same Young\'s modulus are heated to the same range of temperature. If the coefficient of linear expansion of A is 3/2 times of that of wire B. The ratio of the force produced in two wires will be
  • 2/3
  • 9/4
  • 4/9
  • 3/2
A wire of area of cross-section 10-6m2 is increased in length by 0.1%. The tension produced is 1000 N. The Young\'s modulus of wire is
  • 1012 N/m2
  • 1011 N/m2
  • 1010 N/m2
  • 109 N/m2
To break a wire of one metre length, minimum 40 kg wt. is required. Then, the wire of the same material of double radius and 6 m length will required breaking weight
  • 80 kg-wt
  • 240 kg-wt
  • 200 kg-wt
  • 160 kg-wt

Physics-Mechanical Properties of Solids-80141.png
  • First term represents the attractive part of the potential
  • Second term represents the attractive part to the potential
  • Both terms represents the attractive part of the potential
  • Second term represents the repulsive part of the potential
The increase in length on stretching a wire is 0.05%. If its Poisson\'s ratio is 0.4, then its diameter
  • Reduce by 0.02%
  • Reduce by 0.1%
  • Increase by 0.02%
  • Decrease by 0.4%
If Poisson\'s ratio σ is –1/2 for a material, then the material is
  • Uncompressible
  • Elastic fatigue
  • Compressible
  • None of these
If the thickness of the wire is doubled, then the breaking force in the above questions will be
  • 6F
  • 4F
  • 8F
  • F
On all the six surface of a unit cube, equal tensile force of F is applied. The increases in length of each side will be (Y = Young\'s modulus, σ = Poisson\'s ratio)

  • Physics-Mechanical Properties of Solids-80146.png
  • 2)
    Physics-Mechanical Properties of Solids-80147.png

  • Physics-Mechanical Properties of Solids-80148.png

  • Physics-Mechanical Properties of Solids-80149.png
The mass and length of a wire are M and L respectively. The density of the material of the wire is d. On applying the force F on the wire, the increase in length is 1, then the Young\'s modulus of the material of the wire will be

  • Physics-Mechanical Properties of Solids-80151.png
  • 2)
    Physics-Mechanical Properties of Solids-80152.png

  • Physics-Mechanical Properties of Solids-80153.png

  • Physics-Mechanical Properties of Solids-80154.png
Two exactly similar wires of steel and copper are stretched by equal forces. If the difference in their elongations is 0.5 cm, the elongation (of each wire is Ys(steel) = 2.0 × 1011 N/m2 Yc(copper) = 1.2 × 1011 N/m2
  • Is = 75 cm, lc = 1.25 cm
  • Is = 1.25 cm, lc = 0.75 cm
  • Is = 0.25 cm, lc = 0.75 cm
  • Is = 0.75 cm, lc = 0.25 cm
If the compressibility of water is a per unit atmospheric pressure, then the decrease in volume V due to P atmospheric pressure will be
  • σP/V
  • σPV
  • σ/PV
  • σV/P
A rectangular block of size 10 cm × 8 cm × 5 cm is kept in three different positions P, Q and R in turn as shown in the figure. In each case, the shaded area is rigidly fixed and a definite force F is applied tangentially to the opposite face to deform the block. The displacement of the upper face will be
Physics-Mechanical Properties of Solids-80158.png
  • Same in all the three cases
  • Maximum in P position
  • Maximum in Q position
  • Maximum in R position
Which one of the following statements is wrong ?
  • Young's modulus for a perfectly rigid body is zero
  • Bulk modulus is relevant for solids, liquids and gases
  • Rubber is less elastic than steel
  • The Young's modulus and shear modulus are relevant for solids
  • The stretching of a coil spring is determined by its shear modulus
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

  • Physics-Mechanical Properties of Solids-80160.png
  • 2)
    Physics-Mechanical Properties of Solids-80161.png

  • Physics-Mechanical Properties of Solids-80162.png

  • Physics-Mechanical Properties of Solids-80163.png
A 5 m long aluminum wire (Y = 7 × 1010 N/m2) of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire (Y = 12 × 1010 N/m2) of the same length under the same weight, the diameter should now be, in mm
  • 1.75
  • 1.5
  • 2.3
  • 5.0
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-80166.png
  • 2)
    Physics-Mechanical Properties of Solids-80167.png

  • Physics-Mechanical Properties of Solids-80168.png

  • Physics-Mechanical Properties of Solids-80169.png
The specific heat at constant pressure and at constant volume for an ideal gas are Cp and Cv and its adiabatic and isothermal elasticities are Eϕ and Eθ respectively. The ratio of Eϕ, to Eθ is
  • Cv /Cp
  • Cp /Cv
  • CpCv
  • 1/ CpCv
The ratio of two specific heats of gas Cp /Cv 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
  • P
  • 8/7 p
  • 7/8 p
  • 1.45 P
Two wires A and B of same length and of the same material have the respective radii r1 and r2. 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

  • Physics-Mechanical Properties of Solids-80173.png
  • 2)
    Physics-Mechanical Properties of Solids-80174.png

  • Physics-Mechanical Properties of Solids-80175.png

  • Physics-Mechanical Properties of Solids-80176.png
Mark the wrong statement
  • Sliding of molecular layer is much easier than compression or expansion
  • Reciprocal of bulk modulus of elasticity is called compressibility
  • It is difficult to twist a long rod as compared to small rod
  • Hollow shaft is much stronger than a solid rod of same length and same mass
The relationship between Young\'s modulus Y, Bulk modulus K and modulus of rigidity η is

  • Physics-Mechanical Properties of Solids-80179.png
  • 2)
    Physics-Mechanical Properties of Solids-80180.png

  • Physics-Mechanical Properties of Solids-80181.png

  • Physics-Mechanical Properties of Solids-80182.png
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