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 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 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. 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 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. 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. 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 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 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 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. 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. 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. 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. 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 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. A beaker of height 30 cm is filled with water (Sw = 1) up to a height of 10 cm. Now oil (S₀ = 0:9) is poured into the beaker till it is completely filled. At what distance (in cm) from the base will the pressure be one-third the pressure at the base of the beaker?

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Q. An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the relation given below. What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?

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Q. If a gas X be confined inside a bulb as shown, by what percent will the pressure of the gas be higher or lower than the atmospheric pressure? (Take the atmospheric pressure equal to 101.3 kPa)

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Q. A tank of height 3 m is completely filled with water. Now two-third of the liquid is taken out and an equal amount of two other immiscible liquids of specific gravities 0.8 and 1.2 are poured into the tank. By what percent will the pressure at the base of the tank change?

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Q. A beaker of height 15 cm is completely filled with water. Now two-third of the liquid is taken out and an equal amount of two other immiscible liquids of specific gravities 0.8 and 1.2 are poured into the tank. What will be the pressure (in kPa) at a point situated at a height, half the height of the beaker?

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