Fluid Mechanics questions with solutions

Showing 1–10 of 157 questions

• NumericmediumFluid Mechanicsquestion based on variation of pressure

  A vertical rectangular wall of width 2.0 m retains water to a depth of 3.0 m, with the upper edge of the wetted part at the free surface. Taking ρ = 1000 kg/m³ and g = 10 m/s², the hydrostatic torque about the upper edge is N kN·m. Find N.

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• 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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• NumericmediumFluid Mechanicsequation of continuity and bornullie theorem

  In a simplified aeroplane-wing model, air moves at 70 m/s over the upper surface and 50 m/s below the wing. The air density is 1.2 kg/m³ and effective wing area is 25 m². If the lift force is N kN, find N.

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• MCQmediumFluid Mechanicsequation of continuity and bornullie theorem

  The radius of a tube decreases from 2R to R. An ideal liquid flows through it at the same level. If the speed at the wider end is 2 m/s, the speed v at the narrower end is:

  

  Options

  • Option A

    4 m/s

  • Option B

    1 m/s

  • Option C

    2 m/s

  • Option D

    8 m/s

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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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• Multi-correctmediumFluid Mechanicsquestion based on variation of pressure

  A liquid rotates as a rigid body with constant angular speed ω about a vertical axis. Which statements are correct?

  Select all that apply

  • Option A

    The free surface is a paraboloid of revolution.

  • Option B

    At the same height, pressure increases with radial distance from the rotation axis.

  • Option C

    The free surface is lower at the axis than at the rim.

  • Option D

    At equal height, P₂ - P₁ = ρω²(r₂² - r₁²)/2.

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• MCQeasyFluid Mechanicsequation of continuity and bornullie theorem

  A liquid of density 600 kg·m⁻³ flows steadily through a horizontal tube of varying cross-section. At point A, the cross-sectional area is 1.0 cm² and the liquid speed is 10 cm·s⁻¹. At point B, the cross-sectional area is 20 mm². What is the pressure difference P(A)-P(B)?

  Options

  • Option A

    18 Pa

  • Option B

    144 Pa

  • Option C

    36 Pa

  • Option D

    72 Pa

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• NumericmediumFluid Mechanicspascal law and buoyant force

  A wooden block of density 600 kg m⁻³ floats in water of density 1000 kg m⁻³. If 40% of its volume is pushed additionally below the original waterline and released, the restoring force is kx for small vertical displacement x. If k=ρ_water g A/n, where A is horizontal area, find n.

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• MCQeasyFluid Mechanicsequation of continuity and bornullie theorem

  A fluid flows steadily through a pipe whose cross-sectional area varies from one section to another. Which fundamental conservation law leads to the equation of continuity for this flow?

  Options

  • Option A

    Conservation of mechanical energy

  • Option B

    Conservation of linear momentum

  • Option C

    Conservation of mass

  • Option D

    Conservation of angular momentum

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• MCQmediumFluid Mechanicsquestion based on variation of pressure

  The two vertical limbs of a U-tube are separated horizontally by 0.50 m. The tube contains water and is accelerated horizontally with 4 m/s². Taking g = 10 m/s², what is the difference between the liquid levels in the two limbs?

  Options

  • Option A

    5 cm

  • Option B

    10 cm

  • Option C

    20 cm

  • Option D

    40 cm

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