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A large vessel of height H, is filled with a liquid of density ρ, upto the brim. A small hole of radius r is made at the side vertical face, close to the base. The horizontal force is required to stop the gushing of liquid is

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Important Questions on Mechanical Properties of Fluids

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A vertical U-tube of uniform cross-section contains water in both the arms. A 10 cm glycerine column (R.D. =1.2) is added to one of the limbs. The level difference between the two free surfaces in the two limbs will be
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The pressure at the bottom of a water tank is 4 P, where P is atmospheric pressure. If water is drawn out till the water level decreases by 35th, then pressure at the bottom of the tank is
HARD
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An air bubble rises from the bottom of a lake to the surface. If its radius increases by 200% and atmospheric pressure are equal to the water column of height H, then the depth of the lake is, 
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A liquid mixture of volume V, has two liquids as its ingredients with densities α and β. If density of the mixture is σ, then mass of the first liquid in mixture is
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A barometer kept in an elevator reads 76 cm when the elevator is accelerating upwards. The most likely pressure inside the elevator (in cm of Hg) is
EASY
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A beaker containing a liquid of density ρ moves up with an acceleration 'a'. The pressure due to the liquid at a depth h below free surface of the liquid is
MEDIUM
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A barometer kept in an elevator reads 76 cm when it is at rest. If the elevator goes up with some acceleration, the reading will be
MEDIUM
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A piece of gold weighs 10 g in air and 9 g in water. What is the volume of cavity?
(Density of gold =19.3 g cm-3)