Question types

Mechanical Properties of Solids question types

29 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

29
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4
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5
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Sample Questions

Mechanical Properties of Solids questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A mild steel wire of length $2L$ and cross $-$ sectional area $A$ isstretched, well within elastic limit, horizontally between two pillars. A mass $m$ is suspended from the mid point of the wire.Strain in the wire is
  • $\frac{\text{x}^2}{2\text{L}^2}$
  • B
    $\frac{\text{x}}{\text{L}}$
  • C
    $\frac{\text{x}^2}{\text{L}}$
  • D
    $\frac{\text{x}^2}{\text{2L}}$

Answer: A.

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A spring is stretched by applying a load to its free end. The strain produced in the spring is
  • A
    Volumetric.
  • B
    Shear.
  • Longitudinal and shear.
  • D
    Longitudinal.

Answer: C.

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The stress - strain graphs for two materials are shown in $($assume same scale$).$
  1. Material $(ii)$ is more elastic than material $(i)$ and hence material $(ii)$ is more brittle.
  2. Material $(i)$ and $(ii)$ have the same elasticity and the same brittleness.
  3. Material $(ii)$ is elastic over a larger region of strain as compared to $(i).$
  4. Material $(ii)$ is more brittle than material $(i).$
  • A
    $a$ and $b$
  • B
    $b$ and $c$
  • $c$ and $d$
  • D
    All of the above

Answer: C.

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The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will
  • A
    Be double.
  • B
    Be half.
  • C
    Be four times.
  • Remain same.

Answer: D.

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Q 103 Marks Question3 Marks
To what depth must a rubber ball be taken in deep sea so that its volume is decreased by $0.1\%$.
(The bulk modulus of rubber is $9.8 \times 10^8N m^{-2}$, and the density of sea water is $10^3kg m^{-3}$.)
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Q 113 Marks Question3 Marks
Two identical solid balls, one of ivory and the other of wet-clay, are dropped from the same height on the floor. Which one will rise to a greater height after striking the floor and why?
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A truck is pulling a car out of a ditch by means of a steel cable that is $9.1m$ long and has a radius of $5mm$. When the car just begins to move, the tension in the cable is $800N$. How much has the cable stretched?
(Young’s modulus for steel is $2 \times 10^{11}N m^{–2}$.)
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A steel rod ($Y = 2.0 \times 10^{11}N m^{-2}$, and $\alpha = 10^{-50} C^{-1}$) of length $1m$ and area of cross-section $1cm$ 2 is heated from $0°C$ to $200°C$, without being allowed to extend or bend. What is the tension produced in the rod?
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An equilateral triangle ABC is formed by two Cu rods AB and BC and one Al rod. It is heated in such a way that temperature of each rod increases by $\Delta\text{T}$. Find change in the angle ABC. $[$Coeff. of linear expansion for 1 Cu is $\alpha_1$ Coeff. of linear expansion for 2Al is $\alpha_2]$
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In nature, the failure of structural members usually result from large torque because of twisting or bending rather than due to tensile or compressive strains. This process of structural breakdown is called buckling and in cases of tall cylindrical structures like trees, the torque is caused by its own weight bending the structure. Thus the vertical through the centre of gravity does not fall within the base. The elastic torque caused because of this bending about the central axis of the tree is given by $\frac{\text{Y}\pi\text{r}^4}{4\text{R}}.$ Y is the Young’s modulus, r is the radius of the trunk and R is the radius of curvature of the bent surface along the height of the tree containing the centre of gravity (the neutral surface). Estimate the critical height of a tree for a given radius of the trunk.
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