Properties of solid and fluid questions with solutions

Showing 1–10 of 241 questions

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

  A force of magnitude F acts on a plane surface of area A and makes an angle θ with the normal to the surface. Which option correctly gives the normal stress and tangential stress produced on the surface?

  Options

  • Option A

    [F cosθ] / A , [F sinθ] / A

  • Option B

    [F sinθ] / A , [F cosθ] / A

  • Option C

    F / A , 0

  • Option D

    [F cos²θ] / A , [F sin²θ] / A

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  A sphere starts from rest in a viscous liquid under Stokes drag. Its time constant is τ = m/(6πηr) and its terminal speed is vₜ. What time is required for its speed to become vₜ/2?

  Options

  • Option A

    τ/2

  • Option B

    τ ln2

  • Option C

    2τ

  • Option D

    τ/e

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• NumericmediumProperties of solid and fluidviscosity and terminal velocity

  A spherical ball of radius 1 cm and density 5500 kg/m³ is released from rest at a height 1.25 m above the surface of a liquid of density 1000 kg/m³. Immediately after entering the liquid, it continues with constant speed. Take g = 10 m/s² and assume Stokes' law. If the liquid viscosity is N/10 Pa·s, find N.

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• NumericmediumProperties of solid and fluidviscosity and terminal velocity

  Sixty-four identical spherical drops fall through a viscous gas with terminal speed 5 cm/s. They coalesce into one spherical drop of the same material. Assuming Stokes' law remains valid, the new terminal speed is N cm/s. Find N.

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• MCQeasyProperties of solid and fluidviscosity and terminal velocity

  A small rigid sphere of radius r moves with speed v through a viscous liquid in the creeping-flow regime where Stokes' law is valid. What is the magnitude of the viscous drag?

  Options

  • Option A

    6πηrv

  • Option B

    6πηr²v

  • Option C

    4πηrv²

  • Option D

    ηv/(6πr)

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  Two spherical soap bubbles of radii R₁ and R₂ exist in vacuum. They contain the same gas at the same temperature and are made from the same soap solution of surface tension S. They combine isothermally without loss of gas to form one spherical soap bubble of radius R. Which relation is correct?

  Options

  • Option A

    R = R₁+R₂

  • Option B

    R = √(R₁²+R₂²)

  • Option C

    R = ∛(R₁³+R₂³)

  • Option D

    R = R₁R₂/(R₁+R₂)

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

  Young's modulus is determined by the equation given by Y = 49000(m/ℓ) dyne/cm² where m is the mass and ℓ is the extension of wire used in the experiment. Now error in Young modules (Y) is estimated by taking data from m-ℓ plot in graph paper. The smallest scale divisions are 5 g and 0.02 cm along load axis and extension axis respectively. If the value of m and ℓ are 500 g and 2 cm respectively then percentage error of Y is :

  Options

  • Option A

    0.2 %

  • Option B

    0.02 %

  • Option C

    2 %

  • Option D

    0.5 %

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• A/RmediumProperties of solid and fluidviscosity and terminal velocity

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  Terminal velocity is a stable limiting velocity for a sphere falling through a viscous liquid under Stokes' law.

  Reason

  Stokes drag increases linearly with speed, so a speed below terminal value gives a net force in the direction of motion, whereas a speed above terminal value gives a restoring deceleration.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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

  If average depth of an ocean is 4000 m and the bulk modulus of water is 2 × 10⁹ Nm⁻², then fractional compression ΔV/V of water at the bottom of ocean is α × 10⁻². The value of α is _____ (Given, g = 10 ms⁻², ρ = 1000 kg m⁻³)

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• MCQmediumProperties of solid and fluidviscousity and terminal velocity

  An air bubble of diameter 2 mm rises through a liquid of density 2000 kg·m⁻³ with a constant terminal speed of 0.5 cm·s⁻¹. Neglect the density of air and take g = 10 m·s⁻². What is the coefficient of viscosity of the liquid in poise?

  Options

  • Option A

    0.88 P

  • Option B

    8.8 P

  • Option C

    88.8 P

  • Option D

    0.088 P

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