viscosity and terminal velocity questions with solutions

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• Multi-correctmediumProperties of solid and fluidviscosity and terminal velocity

  N identical spherical drops of radius r and terminal speed v coalesce into one drop in the same viscous medium. Assuming Stokes' law remains valid, which statements are correct?

  Select all that apply

  • Option A

    The final radius is r∛N.

  • Option B

    The final terminal speed is v(∛N)².

  • Option C

    For N = 8, the final terminal speed is 4v.

  • Option D

    For N = 27, the final terminal speed is 9v.

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  A small metallic sphere of diameter 2 mm and density 10.5 g/cm³ is dropped in glycerine having viscosity 10 Poise and density 1.5 g/cm³ respectively. The terminal velocity attained by the sphere is ________ cm/s.

  (π = 22/7 and g = 10 m/s²)

  Options

  • Option A

    2.0

  • Option B

    1.0

  • Option C

    3.0

  • Option D

    1.5

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• NumericmediumProperties of solid and fluidviscosity and terminal velocity

  A flat-bottomed body is driven by a constant horizontal force of 100 N. Its contact area is 10 m² and it moves over a fixed surface with a Newtonian liquid layer of effective thickness 10 m and viscosity 2 Pa·s between them. Assume a linear velocity profile and neglect all other resistance. If its limiting speed is N m/s, find N.

  Your answer

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• NumericmediumProperties of solid and fluidviscosity and terminal velocity

  Small water droplets of radius 0.01 mm are formed in the upper atmosphere and falling with a terminal velocity of 10 cm/s. Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new terminal velocity will be ______ cm/s.

  Your answer

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• MCQeasyProperties of solid and fluidviscosity and terminal velocity

  Given below are two statements : Statement (I) : Viscosity of gases is greater than that of liquids. Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below :

  Options

  • Option A

    Statement I is correct but statement II is incorrect

  • Option B

    Statement I is incorrect but Statement II is correct

  • Option C

    Both Statement I and Statement II are incorrect

  • Option D

    Both Statement I and Statement II are correct

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  A solid sphere of radius r and density ρₛ falls through a liquid of density ρₗ and viscosity η, where ρₛ > ρₗ. Assuming Stokes' law is valid, what is the terminal speed?

  Options

  • Option A

    2r(ρₛ-ρₗ)g/(9η)

  • Option B

    2r²(ρₛ-ρₗ)g/(9η)

  • Option C

    9η/[2r²(ρₛ-ρₗ)g]

  • Option D

    6πηr(ρₛ-ρₗ)g

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  A cubical block of side a and density ρ slides down an inclined plane of angle θ with constant speed v. A uniform thin Newtonian liquid film of thickness d and viscosity η separates the block from the plane. Assuming a linear velocity gradient in the film and neglecting all other resistive forces, what is d?

  Options

  • Option A

    ηv/[ρag sinθ]

  • Option B

    ρagv sinθ/η

  • Option C

    ηa/[ρgv sinθ]

  • Option D

    ρa²g sinθ/[ηv]

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  A spherical ball of radius 1 × 10⁻⁴ m and density 10⁵ kg/m³ falls freely under gravity through a distance h before entering a tank of water. If after entering in water the velocity of the ball does not change, then the value of h is approximately : (The coefficient of viscosity of water is 9.8 × 10⁻⁶ N s/m²)

  Options

  • Option A

    2296 m

  • Option B

    2249 m

  • Option C

    2518 m

  • Option D

    2396 m

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• MCQeasyProperties of solid and fluidviscosity and terminal velocity

  Eight equal water drops fall through air with terminal speed 10 cm s⁻¹. If they coalespe into one drop, the new terminal speed is:

  Options

  • Option A

    10 cm s⁻¹

  • Option B

    40 cm s⁻¹

  • Option C

    16 cm s⁻¹

  • Option D

    5 cm s⁻¹

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• MCQeasyProperties of solid and fluidviscosity and terminal velocity

  Which statement is generally correct about the dependence of viscosity on temperature?

  Options

  • Option A

    The viscosity of both liquids and gases generally decreases as temperature increases.

  • Option B

    The viscosity of liquids generally decreases, while the viscosity of gases generally increases as temperature increases.

  • Option C

    The viscosity of liquids generally increases, while that of gases generally decreases as temperature increases.

  • Option D

    Viscosity is independent of temperature.

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