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CBSE Questions for Class 11 Engineering Physics Mechanical Properties Of Solids Quiz 8 - MCQExams.com

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1%
(Take density of sea water 103kgm3, bulk modulus of rubber =9×108Nm2,g=10ms2)
  • 9m
  • 18m
  • 90m
  • 180m
A copper wire of length 2.4m and a steel wire of length 1.6m, both the diameter 3mm, are connected end to end. When stretched by a load, the net elongation is found to be 0.7mm. The load applied is
(Ycopper=1.2×1011Nm2,Ysteel=2×1011Nm2)
  • 1.2×102N
  • 1.8×102N
  • 2.4×102N
  • 3.2×102N
The volume change of a solid copper cube 10cm on an edge, when subjected to a pressure of 7MPa is then
(Bulk modulus of copper =140GPa)
  • 5×102cm3.
  • 10×102cm3
  • 15×102cm3
  • 20×102cm3
Which of the following apparatus is used to determine the Young's modulus of the material of a given wire?
  • Searle
  • sonometer
  • Metre bridge
  • Resonance tube
A copper wire of length 2.4m and a steel wire of length 1.6m, both the diameter 3mm, are connected end to end. The ratio fo elongation of steel to the copper wires is then
(Ycopper=1.2×1011Nm2,Ysteel=2×1011Nm2)
  • 52
  • 25
  • 32
  • 23
The relation between Y,η and B where Y,η,B are Young's Modulus, Shear modulus and bulk modulus respectively.
  • 1Y=13η+19B
  • 9Y=13η+3B
  • 1η=1B+1Y
  • 9Y=3η+1B
If in the above question, the Young's modulus of the material is Y, the value of extension x is:
  • (ElYA)1/3
  • (YAWl)1/3
  • 1l[WAY]1/3
  • l[WYA]1/3
A metal wire of length L1 and area of cross section A is attached to a rigid support. Another metal wire of length L2 and of the same cross-sectional area is attached to the free end of the first wire. A body of mass M is then suspended from the free end of the second wire. If Y1 and Y2 are the Young's moduli of the wires respectively, the effective force constant of the system of two wires is
  • Y1Y2A2(Y1L2+Y2L1)
  • Y1Y2A2(L1L2)1/2
  • Y1Y2A(Y1L2+Y2L1)
  • (Y1Y2)1/2A2(L1L2)1/2
The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will
  • be double
  • be half
  • be four times
  • remains same
A steel bar ABCD 40cm long is made up of three parts AB,BC and CD, as shown in the figure The rod is subjected to a pull of 25kN. The total extension of the rod is (Young's modulus for steel 2×1011Nm2:
937129_3313c973251549d08a44bfd84cbcd489.png
  • 0.0637mm
  • 0.0647mm
  • 0.0657mm
  • 0.0667mm
The mean distance between the atoms of iron is 3×1010m and interatomic force constant for iron is 7Nm1. The Young's modulus of electricity for iron is 
  • 2.33×105Nm2
  • 23.3×1010Nm2
  • 2.33×109Nm2
  • 2.33×1010Nm2
Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of 57oC is drunk. (Take temperature of tooth to be 37oC,α=1.7×105/oC and bulk modulus for copper =140×109Nm2
  • 1.43×108Nm2
  • 4.13×108Nm2
  • 2.12×104Nm2
  • 3.12×104Nm2
The adjacent graph shows the extension (Δl) of a wire of length 1m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is 106m2, the Young's modulus of the material of the wire is
937214_48e2987e0eec45bf9a5bdc9eb1ead15a.png
  • 2×1011Nm2
  • 2×1011Nm2
  • 3×1012Nm2
  • 2×1013Nm2
The ratio of diameters of two wires of same material is n:The length of  each wire is 4 m. On applying the same load, the increases in the length of the thin wire will be (n > l) 
  • n2 times
  • n times
  • 2n times
  • (2n + 1) times
The dimensions of four wires of the same material are given below. In which wire the increase in the length will be maximum?
  • Length 100 cm, diameter 1 mm
  • Length 200 cm, diameter 2 mm
  • Length 300 cm. diameter 3 mm
  • Length 50 cm, diameter 0.5 mm
A rubber ball of bulk modulus B is taken to a depth h of a liquid of density p. Find the fractional change in the radius of the ball. 

  • ρgh4B

  • ρgh3B

  • ρgh2B

  • ρgh5B
A wire is stretched 1 mm by a force of 1 kN. How far would a wire of the same  material and length but of four times that diameter he stretched by the same  force?
  • 12mm
  • 14mm
  • 18mm
  • 116mm
A steel wire is stretched by 1 kg wt. If the radius of the wire is doubled,  its Young's modulus will:

  • remain unchanged
  • become half
  • become double
  • become four times
 Plastic deformation results from the following 
  • Slip
  • Twinning
  • Both slip and twinning
  • creep
A gas undergoes a process in which its pressure p and value v are related as Vp2= constant. The bulk modulus for the gas in this process is:
  • p2
  • 2p
  • 2pv
  • 3p
A wire has a tensile strength of 70MPa, and breaks under 100N of force. What is the cross-sectional area of the wire just before breaking?
  • 14.2×106m2
  • 1.42×106m2
  • 1.42×103m2
  • 1.42×102m2
A thin metal sheet is being bent by or pounded in to a new shape. The process of being elastic to plastic behaviour is known as 
  • Yield
  • Creep
  • Welding
  • Tinkering
An elastic spring is given a force of 1000 N over an area of 0.2m2.
  • 3000Nm2
  • 5000Nm2
  • 500Nm2
  • 2500Nm2
The plasticity behaviour of a material determines the 
  • elastic behavior of the material
  • resistance of the material to electric fields
  • viscous behavior of the material and is irrecoverable.
  • resistance of the material to magnetic fields
Substances that elongate considerably and undergo plastic deformation before they break are known as
  • brittle substances
  • breakable substances
  • ductile substances
  • all of these
Plastic deformation in a material begins at
  • Q point
  • Yield point
  • Proportionality limit
  • Elastic limit
At yield point, Hooke's law doesn't hold good
  • True
  • False
Elasticity is defined as the ability of a body to 
  • Resist linear motion in a hard surface
  • Resist rolling motion in a hard surface
  • Resist a distorting influence and to return to its original size and shape when that influence or force is removed.
  • Resist electric current in a magnetic field
Which of the following is the dimension of Bulk Modulus?
  • [M1L1T1]
  • [M1L1T2]
  • [M1L1T2]
  • [M1L1T1]
Longitudinal strain is calculated using the formula
  • Change in length/ original length
  • Original length/Change in length
  • Original length × Change in length
  • Original length - Change in length
Poisson' ratio is defined as the ratio of 
  • longitudinal stress and longitudinal strain
  • longitudinal stress and lateral stress
  • lateral stress and longitudinal stress
  • lateral stress and lateral strain
The difference between pressure and stress is 
  • pressure and stress have different units
  • pressure and stress have different dimensions
  • Force cannot be determined using stress, but in pressure it can be done
  • Pressured is applied to a body, while stress is induced
Which one of the following is true about Bulk Modulus of elasticity?
  • It is the ratio of compressive stress to volumetric strain
  • It is the ratio of compressive stress to linear strain
  • It is the ratio of tensile stress to volumetric strain
  • It is the ratio of tensile stress to linear strain
A force of 10 N is applied to an object, whose area is 5cm2 at an angle of 30 degrees with the vertical. What kind of stress can be found from this data
  • Normal and areal stress can be found
  • only normal stress can be found
  • only areal stress can be found
  • Stress cannot be found from this data, since applied force is neither along the horizontal or vertical
A steel wire is suspended from a fixed end, while the other end is loaded with a weight W. This produced an extension x. As the weight is increased, the extension was also increased. A plot of extension vs load within elastic limits will give rise to 
  • a curve
  • an ellipse
  • a straight line
  • a hyperbola
The radius of a copper wire is 4 mm. What force is required to stretch the wire by 20% of its length, assuming that the elastic limit is not exceeded (Y=12×1010N/m2
  • 7.23×105N
  • 7.23×107N
  • 7.23×106N
  • 7.23×108N

A wire of length L can support a load W. If the wire is broken in to two equal parts , then how much load can be suspended by one of those cut wires?

  • Half
  • Same
  • Double
  • One fourth

A rubber cord 10 m long is suspended vertically. How much does it stretch under its own weight. ( [Density of rubber is 1500(kg/m3),Y=5×108N/m2)

  • 0.3 mm
  • 0.15 mm
  • 0.015 mm
  • 0.03 mm
When the temperature of a gas is 200C and pressure is changed from P1=1.01×105Pa to P2=1.165×105Pa, then the volume changes by 10%. The bulk modulus is
  • 1.55×105Pa
  • 1.05×105Pa
  • 1.4×105Pa
  • 0.115×105Pa
A student measures the poisson's ratio to be greater than 1 in an experiment. The meaning of this statement would be
  • An increase in length would also result in decrease in area of cross section of the wire
  • An increase in length would also result in increase in area of cross section of the wire
  • An decrease in length would also result in decrease in area of cross section of the wire
  • An increase in length will not change the area of cross section of the wire
The theoretical limits of poisson's ratio lies between -1 to 0.5 because
  • Shear modulus and bulk's modulus should be positive
  • Bulk's modulus is negative during compression
  • Shear modulus is negative during compression
  • Young's modulus should be always positive
A 1m long metal wire of cross sectional area 106m2 is fixed at one end from a rigid support and a weight W is hanging at its other end. The graph shows the observed extension of length Δl of the wire as a function of W. Young's modulus of material of the wire in SI units is?
1010213_a399a32c8ad148bd828780acd9113058.png
  • 5×104
  • 2×105
  • 2×1011
  • 5×1011
A uniform wire (Young's modulus 2×1011Nm2 ) is subjected to longitudinal tensile stress of 5×107 Nm2. If the overall volume change in the wire is 0.02%,  the frictional decrease in the radius of the wire is close to  
  • 1.0×104
  • 1.5×104
  • 0.25×104
  • 5×104
The ratio of the coefficient of volume expansion of glass container to that of a viscous liquid kept inside the container is 1:4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all the temperature?
  • 2/5
  • 1/4
  • 1/64
  • 1/8
A metal rod of Young's modulus Y and coefficient of thermal expansion α is held at its two ends such that its length remains invariant. If its temperature is raised by toC, the linear stress developed in it is:
  • 1/(Yαt)
  • αt/Y
  • Y/αt
  • YαT
For which material the poisson's ratio is greater than 1
  • Steel
  • Copper
  • Aluminium
  • None of the above
The maximum strain energy that can be stored in a body is known as:
  • impact energy
  • toughness
  • proof resilience
  • none of the above
A rubber ball is taken to depth 1 km inside water so that its volume reduces by 0.05%.What is the bulk modulus of the rubber:
  • 2×1010N/m2
  • 2×109N/m2
  • 2×107N/m2
  • 2×1011N/m2
The proportional limit of steel is 8×108N/m2 and its Young's modulus is 2×1011N/m2. The maximum elongation, a one metre long steel wire can be given without exceeding the proportional limit is 
  • 2 mm
  • 4 mm
  • 1 mm
  • 8 mm
Overall changes in volume and radii of a uniform cylindrical steel sire are 0.2% and 0.002% respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is :-
(Y=2.0×1011 NM2)
  • 3.2×109 Nm2
  • 3.2×107 Nm2
  • 3.6×109 Nm2
  • 3.9×108 Nm2
0:0:3


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