properties of fluid and surface tension questions with solutions

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• NumericmediumProperties of solid and fluidproperties of fluid and surface tension

  Two vertical capillary limbs are connected at the bottom to form a U-shaped arrangement and contain the same perfectly wetting liquid. Their radii are 0.50 mm and 1.50 mm. For the liquid, S = 0.075 N/m, ρ = 1000 kg/m³ and g = 10 m/s². If the difference between the two capillary levels is N cm, find N.

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  If 1000 droplets of water of surface tension 0.07 N m⁻¹, having same radius 1 mm each, combine to form a single drop, the released surface energy is: [Take π = 22/7]

  Options

  • Option A

    7.92 × 10⁻⁶ J

  • Option B

    7.92 × 10⁻⁴ J

  • Option C

    9.68 × 10⁻⁴ J

  • Option D

    8.8 × 10⁻⁵ J

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  JEE Mains31 January 2023Shift 1Morning Shift

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• MCQeasyProperties of solid and fluidproperties of fluid and surface tension

  Given below are two statements:

  Statement I : Pressure of fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid.

  Statement II: Excess potential energy of the molecules on the surface of a liquid, when compared to interior, results in surface tension.

  In the light of the above statements, choose the correct answer from the options given below.

  Options

  • Option A

    Statement I is true but Statement II is false

  • Option B

    Both Statement I and Statement II are false

  • Option C

    Both Statement I and Statement II are true

  • Option D

    Statement I is false but Statement II is true

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  JEE Mains 202622 January Morning Shift

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T, then the work done in the process will be :

  Options

  • Option A

    8πR²T

  • Option B

    3πR²T

  • Option C

    (1/8)πR²T

  • Option D

    4πR²T

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  JEE Mains 2024 29 Jan Evening Shift

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• NumericeasyProperties of solid and fluidproperties of fluid and surface tension

  A soap bubble has radius 2 mm and surface tension 0.05 N/m. If its excess internal pressure is N Pa, find N.

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  Two soap bubbles of radii R₁ and R₂, with R₁ smaller than R₂, are connected by a narrow tube. Both bubbles are made from the same soap solution and are initially at the same temperature. What happens immediately after the connection is opened?

  Options

  • Option A

    Air flows from the larger bubble to the smaller bubble.

  • Option B

    Air flows from the smaller bubble to the larger bubble.

  • Option C

    No air flows because both objects are soap bubbles.

  • Option D

    The larger bubble has the greater excess pressure.

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

  Which statements about contact angle and capillary behaviour are correct?

  Select all that apply

  • Option A

    For a wetting liquid, the contact angle is usually less than 90°.

  • Option B

    A non-wetting liquid can show capillary depression.

  • Option C

    For a given liquid under fixed effective gravity, capillary height varies as cosθ/r.

  • Option D

    At contact angle 90°, the ideal capillary rise or depression is zero.

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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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• NumericmediumProperties of solid and fluidproperties of fluid and surface tension

  A spherical drop of liquid splits into 1000 identical spherical drops. If uᵢ is the surface energy of the original drop and uᶠ is the total surface energy of the resulting drops, ignoring evaporation, uᶠ/uᵢ = 10/x. Then value of x is _____ :

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  JEE Mains25 January 2023Shift 2Evening Shift

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• MCQmediumProperties of solid and fluidproperties of fluid and surface tension

  A number of identical liquid drops and an equal number of identical soap bubbles are separately combined. The liquid drops coalesce with conservation of liquid volume, while the soap bubbles combine isothermally in vacuum without gas loss. Which statement correctly compares the radius relations?

  Options

  • Option A

    Both processes satisfy R² = sum of the squares of the initial radii.

  • Option B

    Both processes satisfy R³ = sum of the cubes of the initial radii.

  • Option C

    Liquid drops satisfy R³ = sum of initial radius cubes, whereas soap bubbles in vacuum satisfy R² = sum of initial radius squares.

  • Option D

    Liquid drops satisfy R² = sum of initial radius squares, whereas soap bubbles satisfy R³ = sum of initial radius cubes.

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