pascal law and buoyant force questions with solutions

Showing 1–10 of 45 questions

• Multi-correctmediumFluid Mechanicspascal law and buoyant force

  A hollow body floats partially submerged in water. Some water is slowly poured into the hollow body without spilling outside. Until the body becomes completely submerged, which statements are correct?

  Select all that apply

  • Option A

    The displaced water volume increases

  • Option B

    The buoyant force increases

  • Option C

    The centre of buoyancy may shift

  • Option D

    The fraction submerged must remain constant

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• MCQeasyFluid Mechanicspascal law and buoyant force

  The small and large pistons of an ideal hydraulic machine have areas 10 cm² and 250 cm², respectively. If the small piston is pushed downward through 50 cm, through what distance does the large piston rise?

  Options

  • Option A

    1 cm

  • Option B

    2 cm

  • Option C

    5 cm

  • Option D

    20 cm

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• A/RmediumFluid Mechanicspascal law and buoyant force

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

  Assertion

  If a dense iron piece is embedded in floating ice and the iron sinks after the ice melts, the final water level is lower than the initial water level.

  Reason

  While the composite is floating, the iron contributes to displacement equal to m(iron)/ρ(water), whereas after sinking it displaces only its own volume m(iron)/ρ(iron).

  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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• A/RmediumFluid Mechanicspascal law and buoyant force

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

  Assertion

  An ideal hydraulic lift can produce an output force much larger than the input force.

  Reason

  In an ideal hydraulic lift, the smaller piston moves through a greater distance than the larger piston when the smaller piston has the smaller area.

  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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• A/RmediumFluid Mechanicspascal law and buoyant force

  Evaluate the following statements.

  Assertion

  Assertion (A): A completely submerged incompressible body experiences the same buoyant force at all depths in an incompressible liquid at rest.

  Reason

  Reason (R): Pressure at every point on the body is independent of depth.

  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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• NumericmediumFluid Mechanicspascal law and buoyant force

  A cube of density 3ρ/5 floats in a liquid of density ρ. It is pushed down until it is just completely submerged and released. Neglect drag. If its initial upward acceleration is ng/3, find n.

  Your answer

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• A/RmediumFluid Mechanicspascal law and buoyant force

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

  Assertion

  A submarine lying tightly against a flat sea bed may be difficult to lift merely by increasing its buoyancy.

  Reason

  If water cannot reach the lower surface of the submarine, the upward hydrostatic pressure force on that surface is absent or greatly reduced.

  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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• NumericmediumFluid Mechanicspascal law and buoyant force

  A solid body of volume 1000 cm³ and density 600 kg/m³ is completely immersed in water and tied to the bottom of the vessel by a light string. Taking g = 10 m/s², the string tension is N N. Find N.

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• Multi-correctmediumFluid Mechanicspascal law and buoyant force

  A solid sphere of density ρ_s is completely immersed in a liquid of density ρ_l and released from rest, neglecting drag. Which statements are correct?

  Select all that apply

  • Option A

    If ρ_s<ρ_l, initial acceleration is upward

  • Option B

    Its acceleration magnitude is g|ρ_l-ρ_s|/ρ_s

  • Option C

    For ρ_s=ρ_l it remains in neutral equilibrium

  • Option D

    Buoyant force depends on depth in an incompressible liquid

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• IntegereasyFluid Mechanicspascal law and buoyant force

  In a hydraulic lift, piston areas are A₁=25 cm² and A₂=100 cm². If 100 N is applied normally on A₁, the force on A₂ is:

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