question based on variation of pressure questions with solutions

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• MCQmediumFluid Mechanicsquestion based on variation of pressure

  An air bubble of volume 1 cm³ rises from the bottom of a lake 40 m deep to the surface at a temperature of 12°C. The atmospheric pressure is 1 × 10⁵ Pa, the density of water is 1000 kg/m³ and g = 10 m s⁻². There is no difference of the temperature of water at the depth of 40 m and on the surface. The volume of air bubble when it reaches the surface will be:

  Options

  • Option A

    3 cm³

  • Option B

    4 cm³

  • Option C

    2 cm³

  • Option D

    5 cm³

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• NumericmediumFluid Mechanicsquestion based on variation of pressure

  An open rectangular tank of length 1.2 m initially contains water to a uniform depth of 0.50 m. The tank is accelerated horizontally toward the right with 5 m/s² and no water spills. Taking g = 10 m/s², the water depth at the left wall is N cm. Find N.

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• MCQeasyFluid Mechanicsquestion based on variation of pressure

  A U-tube contains mercury of density 13.6ρ. Water of density ρ is poured into one arm to form a column of height h. The difference between mercury levels in the two arms is:

  Options

  • Option A

    h/13.6

  • Option B

    h/12.6

  • Option C

    h/14.6

  • Option D

    13.6h

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• 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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• IntegermediumFluid Mechanicsquestion based on variation of pressure

  A vessel of square cross-section and height 6 m is vertically partitioned. A small window of area 100 cm² with a hinged door is fitted at a depth of 3 m in the partition wall. One side is filled completely with water and the other side with a liquid of density 1.5×10³ kg/m³. Take g = 10 m/s². Find the force in newtons required to keep the hinged door from opening.

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• MCQeasyFluid Mechanicsquestion based on variation of pressure

  Three open vessels of different shapes have equal base areas and contain the same liquid up to the same vertical height. Which statement about the pressure at the centre of the base of each vessel is correct?

  Options

  • Option A

    The pressure is greatest in the vessel containing the largest volume of liquid.

  • Option B

    The pressure is greatest in the vessel whose side walls diverge outward.

  • Option C

    The pressure is the same in all three vessels.

  • Option D

    The pressure is proportional to the total weight of liquid present in each vessel.

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• MCQmediumFluid Mechanicsquestion based on variation of pressure

  A U-tube of uniform cross-section contains a liquid and is accelerated horizontally with acceleration a. The horizontal separation between the two vertical arms is l. The difference in liquid levels is:

  Options

  • Option A

    al/g

  • Option B

    gl/a

  • Option C

    a²l/g²

  • Option D

    l√(g²+a²)/g

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• MCQmediumFluid Mechanicsquestion based on variation of pressure

  A closed vessel containing oil of density 800 kg/m³ is accelerating vertically downward with acceleration 6 m/s². Two points in the oil are vertically separated by 0.50 m. Taking g = 10 m/s², what is the magnitude of the pressure difference between these points?

  Options

  • Option A

    1.6 kPa

  • Option B

    3.2 kPa

  • Option C

    4.0 kPa

  • Option D

    6.4 kPa

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• MCQmediumFluid Mechanicsquestion based on variation of pressure

  A rectangular tank of length 2.0 m contains water and is accelerated horizontally toward the right with constant acceleration 7.5 m/s². No liquid spills out. Taking g = 10 m/s², what is the difference between the free-surface heights at the two ends of the tank?

  Options

  • Option A

    0.75 m

  • Option B

    1.0 m

  • Option C

    1.5 m

  • Option D

    2.0 m

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• MCQeasyFluid Mechanicsquestion based on variation of pressure

  An open vessel contains a 40 cm deep layer of water above a 20 cm deep layer of mercury. The densities of water and mercury are 1000 kg/m³ and 13600 kg/m³, respectively. Taking g = 10 m/s², what is the gauge pressure at the bottom of the vessel?

  Options

  • Option A

    27.2 kPa

  • Option B

    31.2 kPa

  • Option C

    35.2 kPa

  • Option D

    40.8 kPa

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