pascal law and buoyant force questions with solutions

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• MCQmediumFluid Mechanicspascal law and buoyant force

  A body of density 0.8ρ floats in a liquid of density ρ. The vessel is accelerated vertically upward with constant acceleration a. The fraction of the body's volume submerged is:

  Options

  • Option A

    0.8

  • Option B

    0.8g/(g+a)

  • Option C

    0.8(g+a)/g

  • Option D

    Depends on a

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• A/ReasyFluid Mechanicspascal law and buoyant force

  Evaluate the following statements.

  Assertion

  Assertion (A): A hydraulic press can multiply force.

  Reason

  Reason (R): In an ideal hydraulic press, the work output can exceed the work input because pressure is transmitted equally throughout the liquid.

  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 1.1 kg block of ice floats in a salt solution of density 1100 kg/m³. After the ice melts completely, the meltwater has density 1000 kg/m³ and remains in a vessel of uniform horizontal cross-sectional area 1000 cm². Ignoring mixing-volume changes, the liquid level rises by N mm. Find N.

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• MCQmediumFluid Mechanicspascal law and buoyant force

  A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm². The maximum pressure the smaller piston would have to bear is [Assume g = 10 m s⁻²]:

  Options

  • Option A

    2 × 10⁵ Pa

  • Option B

    20 × 10⁶ Pa

  • Option C

    200 × 10⁶ Pa

  • Option D

    2 × 10⁶ Pa

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  JEE Mains8 April 2023Shift 2Evening Shift

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• Multi-correctmediumFluid Mechanicspascal law and buoyant force

  A vessel containing water is placed on a weighing machine. Which statements are correct?

  Select all that apply

  • Option A

    If a body is immersed while suspended from an external support without touching the vessel, the scale reading increases by an amount corresponding to the buoyant force.

  • Option B

    The spring-balance reading of an immersed body decreases by the buoyant force.

  • Option C

    If a body is tied to the bottom and the entire body-liquid-vessel system is on the weighing machine, the final scale reading includes the full weight of the body.

  • Option D

    The buoyant force on an immersed body and the downward force exerted by that body on the liquid form an action-reaction pair.

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• MCQeasyFluid Mechanicspascal law and buoyant force

  A hydraulic lift has piston areas A and 9A. The smaller piston is pushed down by distance x quasistatically. Neglect losses. The larger piston rises by:

  Options

  • Option A

    x/9

  • Option B

    x/3

  • Option C

    3x

  • Option D

    9x

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• NumericmediumFluid Mechanicspascal law and buoyant force

  A body of volume 500 cm³ is suspended from an external support and is fully immersed in water contained in a vessel placed on a weighing machine. The body does not touch the vessel. The weighing-machine reading increases by an amount equivalent to N grams. Find N.

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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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• MCQeasyFluid Mechanicspascal law and buoyant force

  A hydraulic lift has a small piston of area 5 cm² and a large piston of area 500 cm². A car of mass 1000 kg rests on the large piston. Neglecting piston masses and friction, what minimum downward force must be applied to the small piston to support the car? Take g = 10 m/s².

  Options

  • Option A

    50 N

  • Option B

    100 N

  • Option C

    500 N

  • Option D

    1000 N

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• A/RmediumFluid Mechanicspascal law and buoyant force

  Given below are two statements: one is labelled as Assertion A and the other as Reason R.

  Assertion

  When you squeeze one end of a tube to get toothpaste out from the other end. Pascal's principle is observed.

  Reason

  A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

  Options

  • Option A

    A is correct but R is not correct

  • Option B

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

  • Option C

    A is not correct but R is correct

  • Option D

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

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  JEE Mains6 April 2023Shift 2Evening Shift

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