properties of fluid and surface tension questions with solutions

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• NumericmediumProperties of solid and fluidproperties of fluid and surface tension

  Three soap bubbles of radii 1 cm, 2 cm and 2 cm exist in vacuum. They contain the same gas at the same temperature and combine isothermally without loss of gas to form one soap bubble. If the final radius is N cm, find N.

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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 complete apparatus is then placed in an elevator accelerating vertically upward with acceleration a. Neglect changes in surface tension and density. What is the new capillary rise?

  Options

  • Option A

    h₀(g+a) / g

  • Option B

    h₀g / (g+a)

  • Option C

    h₀g / (g-a)

  • Option D

    h₀

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• NumericeasyProperties of solid and fluidproperties of fluid and surface tension

  A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is 10/x. The value of x is _________.

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• MCQeasyProperties of solid and fluidproperties of fluid and surface tension

  The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is :

  Options

  • Option A

    1 : 9

  • Option B

    1 : 3

  • Option C

    1 : 81

  • Option D

    1 : 27

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

  Which excess-pressure relations are correct for interfaces of surface tension S?

  Select all that apply

  • Option A

    For a spherical liquid drop, ΔP = 2S/R.

  • Option B

    For a spherical air bubble inside a liquid, ΔP = 2S/R.

  • Option C

    For a spherical soap bubble, ΔP = 4S/R.

  • Option D

    For a single curved interface, ΔP = S(1/R₁ + 1/R₂).

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• NumericmediumProperties of solid and fluidproperties of fluid and surface tension

  A soap bubble of surface tension 0.04 N/m is blown to a diameter of 7 cm. If (15000 - x) μJ of work is done in blowing it further to make its diameter 14 cm, then the value of x is ____.

  (π = 22/7)

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  An air bubble of radius R is located at depth h below the free surface of water. Atmospheric pressure is P₀, water density is ρ and surface tension is S. What is the pressure inside the bubble?

  Options

  • Option A

    P₀ + ρgh + 4S/R

  • Option B

    P₀ + ρgh + 2S/R

  • Option C

    P₀ + 2S/R

  • Option D

    P₀ + ρgh - 2S/R

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• NumericeasyProperties of solid and fluidproperties of fluid and surface tension

  Water of surface tension 0.075 N/m rises in a capillary tube of radius 0.50 mm. Take contact angle 0°, density 1000 kg/m³ and g = 10 m/s². If the capillary rise is N cm, find N.

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• NumericmediumProperties of solid and fluidproperties of fluid and surface tension

  A large soap bubble in vacuum is produced by combining N identical soap bubbles, each of radius 2 mm. The final bubble radius is 10 mm. The process is isothermal and no gas is lost. Find N.

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  The surface tension of a soap solution is 0.03 N·m⁻¹. A soap bubble is expanded so that its diameter increases from 2 cm to 6 cm. If the work required is απ×10⁻⁴ J, what is α?

  Options

  • Option A

    0.86

  • Option B

    0.64

  • Option C

    1.92

  • Option D

    7.68

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