Properties of solid and fluid questions with solutions

Showing 1–10 of 354 questions

• MCQmediumProperties of solid and fluid

  Consider a long steel bar under tensile stress due to vector forces F⃗ applied at the ends along the bar. For a plane making angle θ with the bar, find the tensile and shear stresses on that plane. (a) At what angle is tensile stress maximum? (b) At what angle is shear stress maximum?

  Options

  • Option A

    θ(t)=π/2; θₛ=π/4

  • Option B

    θ(t)=π/4; θₛ=π/2

  • Option C

    both π/4

  • Option D

    both π/2

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  A wetting liquid rises through height h₀ in a capillary tube when the apparatus is stationary. The apparatus is then accelerated vertically downward with acceleration a, where a is smaller than g. What is the new capillary rise?

  Options

  • Option A

    h₀g / (g-a)

  • Option B

    h₀(g-a) / g

  • Option C

    h₀g / (g+a)

  • Option D

    h₀a / g

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  Surface tension of two liquids (having same densities), T₁ and T₂, are measured using capillary rise method utilizing two tubes with inner radii of r₁ and r₂ where r₁ > r₂. The measured liquid heights in these tubes are h₁ and h₂ respectively. [Ignore the weight of the liquid about the lowest point of miniscus]. The heights h₁ and h₂ and surface tensions T₁ and T₂ satisfy the relation :

  Options

  • Option A

    h₁ < h₂ and T₁ = T₂

  • Option B

    h₁ = h₂ and T₁ = T₂

  • Option C

    h₁ > h₂ and T₁ = T₂

  • Option D

    h₁ > h₂ and T₁ < T₂

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• MCQmediumProperties of solid and fluid

  The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, 5 cm. If the tube is dipped in a similar manner in another liquid B of surface tension and density double the values of liquid A, the height of liquid column raised in liquid B would

  Options

  • Option A

    0.20 m

  • Option B

    0.5 m

  • Option C

    0.05 m

  • Option D

    0.10 m

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• Multi-correctmediumProperties of solid and fluidproperties of fluid and surface tension

  Which statements correctly describe the molecular origin and basic properties of surface tension?

  Select all that apply

  • Option A

    Molecules at a liquid surface generally possess greater potential energy than molecules well inside the liquid.

  • Option B

    Surface tension tends to reduce the free surface area of a liquid.

  • Option C

    Surface tension has dimensions of force per unit length.

  • Option D

    For a single liquid surface under reversible isothermal conditions, surface tension is numerically equal to surface energy per unit area.

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• MCQeasyProperties of solid and fluidviscosity and terminal velocity

  A heavy sphere has attained terminal speed while falling through a viscous liquid. Which statement is correct?

  Options

  • Option A

    The weight of the sphere becomes zero.

  • Option B

    The viscous drag becomes zero.

  • Option C

    The weight equals the sum of buoyant force and viscous drag.

  • Option D

    The buoyant force must always equal the viscous drag.

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• MCQeasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  The strain-stress plot for materials A,B,C and D is shown in the figure. Which material has the largest Young's modulus ?

  

  Options

  • Option A

    C

  • Option B

    D

  • Option C

    A

  • Option D

    B

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• MCQmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  The diameter of a wire is measured with a screw gauge of least count 0.001 cm and is found to be 0.08 cm. Its length, measured with a scale of least count 0.1 cm, is 150 cm. When a load of 100 N is applied, the extension is 0.5 cm, measured with an instrument of least count 0.001 cm. Ignoring any uncertainty in the applied load, the absolute error in the calculated Young's modulus is α×10⁹ N·m⁻². What is α?

  Options

  • Option A

    1.3

  • Option B

    1.65

  • Option C

    0.13

  • Option D

    0.25

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• NumericmediumProperties of solid and fluidviscosity and terminal velocity

  A sphere of radius 1 mm and density 5500 kg/m³ falls at terminal speed through a liquid of density 1000 kg/m³ and viscosity 1 Pa·s. Take g = 10 m/s². If the rate of heat generation by viscous dissipation is Nπ × 10⁻⁷ W, find N.

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• NumericmediumProperties of solid and fluidproperties of solid stress ,strain and modulus of elasticity

  A thin elastic circular ring of radius 1 m is made from a material of density 8000 kg/m³ and Young's modulus 2 × 10¹¹ Pa. It rotates in its own plane with angular speed 50 rad/s. If its circumferential strain is N × 10⁻⁴, find N.

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