Q. A beaker of height 10 cm is half-filled with water (Sw = 1) and half-filled with oil (S₀ = 1). At what distance (in cm) from the base will the pressure be half the pressure at the base of the beaker?

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Q. The arm of a teapot is 10 cm long and inclined at an angle of 60° to the vertical. The center of the arm base is 2 cm above the base of the beaker. Water is poured into the beaker such that half the arm is filled with it. What will be the pressure at the base of the beaker if the atmospheric pressure is 101.3 kPa?

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Q. A beaker is filled with a liquid of specific gravity S = 1:2 as shown. What will be the pressure difference (in kN/m²) between the two points A and B, 30 cm below and 10 cm to the right of point A?

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Q. Three beakers 1, 2 and 3 of different shapes are kept on a horizontal table and filled with water up to a height h. If the pressure at the base of the beakers are P₁, P₂ and P₃ respectively, which one of the following will be the relation connecting the three?

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Q. The pressure gauges 1, 2 and 3 are installed on the system as shown. If the readings of the gauges be P₁ = 1 bar, P₂ = 2 bar and P₃ = 3 bar, what will be the value of P? (Take Pₐₜₘ = 1.01 bar)

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Q. A closed tank (of height 5 m) is Partially filled with a liquid as shown. If the pressure of the air above the fluid is 2 bar, find the pressure at the bottom of the tank. Assume the density of the liquid to vary according to the following relation: (where y is the height from the base)

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Q. A cuboidal container (each side of 30 cm) is completely filled with water. A is a point, 25 cm above the base such that the pressure at point A is P. At what height (in cm) from the base will the pressure be 2P?

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Q. A beaker is filled with a liquid of density ρ up to a height h. If half the liquid is replaced by equal volume of another liquid of twice the density, what will be the change in the base pressure?

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Q. A beaker is filled with a liquid of density ρ1 up to a certain height. A is a point, h m downwards from the free surface such that the pressure at A is P. If the liquid is replaced by equal volume of another liquid of density ρ2, at what distance from the free surface will the pressure be P now?

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Q. A beaker is filled with a liquid of density ρ1 up to a certain height. A is a point, h m downwards from the free surface of the liquid as shown. The liquid is replaced by equal volume of another liquid of density ρ2. If ρ1 > ρ2, how will the pressure at point A change?

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Q. A beaker is filled with a liquid of density ρ₁ up to a certain height. The pressure at the base of the beaker id Pb. If the liquid is replaced by an equal volume of another liquid of density ρ₂, what will be the pressure at the base of the beaker now?

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Q. An arm of a teapot is completely filled with tea (density=ρ). If the arm has a length of l and is inclined at 30° to the horizontal, what will be the pressure difference between the two points, C at the mouth and D at the base of the arm?

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Q. A beaker of height h is filled with a liquid of density ρ up to a certain limit. The beaker is rotated by an angle θ such that further increase in the angle will result in over flow of the liquid. If the liquid surface is exposed to the atmosphere, what will be the gauge pressure at point B?

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Q. A beaker is filled with a liquid up to a height h. If A and B are two points, one on the free surface and one at the base as shown, such that the minimum distance between the two is l, what will be the pressure at point B?

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Q. A beaker half-filled with water is exposed to the atmosphere. If the pressure at points A, B and C as shown are Pa, Pb and Pc respectively, which one of the following will be the relation connecting the three?

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Q. A simple U tube manometer connected to a pipe in which liquid is flowing with uniform speed will give which kind of pressure?

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Q. For dynamic fluid motion in a pipe, the pressure measurement cannot be carried out accurately by manometer.

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Q. As we go upwards, at height there is slight decrease in pressure variation.

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Q. What is the variation observed in temperature in atmosphere with respect to elevation?

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Q. Why can’t the density be assumed as constant for compressible fluids?

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