equation of continuity and bornullie theorem questions with solutions

Showing 1–10 of 72 questions

• Multi-correctmediumFluid Mechanicsequation of continuity and bornullie theorem

  A large open tank has a small orifice at depth h below the free surface. Neglect viscosity. Which statements are correct?

  Select all that apply

  • Option A

    Efflux speed is √(2gh)

  • Option B

    The result follows from Bernoulli between the free surface and orifice

  • Option C

    If the tank is in free fall, the efflux relative to the tank tends to vanish

  • Option D

    For the same h, increasing liquid density increases ideal efflux speed

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• A/RmediumFluid Mechanicsequation of continuity and bornullie theorem

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

  Assertion

  A loosely fixed light roof sheet can be lifted upward during a strong storm.

  Reason

  Fast-moving air above the roof may have lower static pressure than the relatively slow air below it, producing a net upward pressure force.

  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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• MCQmediumFluid Mechanicsequation of continuity and bornullie theorem

  Air of density 1.2 kg/m³ flows steadily through a horizontal Venturimeter. The inlet cross-sectional area is twice the throat area. The pressure at the inlet exceeds the throat pressure by 180 Pa. Treat the air density as approximately constant over the meter. What is the air speed at the throat?

  Options

  • Option A

    10 m/s

  • Option B

    15 m/s

  • Option C

    20 m/s

  • Option D

    30 m/s

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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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• MCQmediumFluid Mechanicsequation of continuity and bornullie theorem

  A completely full cylindrical water tank has height 1.6 m and cross-sectional area 0.5 m². A small hole is present in its side at a height 0.9 m from the bottom. A load of 50 kg is applied on the top surface of water. Take g = 10 m/s² and water density ρ = 1000 kg/m³. The speed of efflux immediately after opening the hole is:

  Options

  • Option A

    5 m/s

  • Option B

    4 m/s

  • Option C

    3 m/s

  • Option D

    2 m/s

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• A/RmediumFluid Mechanicsequation of continuity and bornullie theorem

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

  Assertion

  A tank draining through a small hole does not lose equal heights of liquid in equal time intervals.

  Reason

  As the liquid level falls, the hydrostatic head decreases and therefore the speed of efflux decreases.

  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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• Multi-correctmediumFluid Mechanicsequation of continuity and bornullie theorem

  Which statements are correct for the idealized Magnus effect on a spinning ball moving through a fluid?

  Select all that apply

  • Option A

    Rotation can make the fluid speed different on the two sides of the ball.

  • Option B

    Different fluid speeds can create different static pressures on opposite sides.

  • Option C

    The resulting Magnus force can have a component perpendicular to the translational velocity of the ball.

  • Option D

    Reversing the direction of spin reverses the direction of the Magnus force.

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• NumericmediumFluid Mechanicsequation of continuity and bornullie theorem

  A cylindrical tank has constant cross-sectional area A and a small bottom orifice of area a. The ratio A/a is 100. Initially the water depth above the orifice is 5 m. Neglecting viscosity and taking g = 10 m/s², the total time required to empty the tank is N s. Find N.

  Your answer

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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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• Multi-correctmediumFluid Mechanicsequation of continuity and bornullie theorem

  A large open tank contains an ideal liquid and has a small side hole. Which statements about the efflux jet are correct?

  Select all that apply

  • Option A

    The efflux speed depends on the vertical depth of the hole below the free surface.

  • Option B

    For a large tank, v = √(2gh), where h is the depth below the free surface.

  • Option C

    Two holes whose heights above the ground add to the total free-surface height can produce equal horizontal ranges.

  • Option D

    For fixed water-surface height above the ground, maximum range occurs when the hole is halfway between the ground and the free surface.

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