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9A cube with a mass 'm' completely wettable by water floats on the surface of water. Each side of the cube is 'a'. What is the distance h between the lower face of cube and the surface of the water if surface tension is S. Take density of water as ρw. Take angle of contact is zero.

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Important Questions on Fluid Mechanics

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A crown made of gold and copper weights 210 g in air and 198 g in water. The weight of gold in crown is:[Given : Density of gold =19.3 g cm-3 and Density of copper =8.5 g cm-3
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To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the liquid force on the vertical surface of the vessel be equal to the force on the bottom?
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Two vessels A and B have the same base area and contain water to the same height, but the mass of water in A is four times that in B. The ratio of the liquid thrust at the base of A to that at the base of B is :-

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Water stands upto a height h behind the vertical wall of a dam. What is the net horizontal force pushing the dam down by the stream, if width of the dam is σ?(ρ= density of water) :-
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A U-tube is partially filled with water. Oil which does not mix with water is next poured into one side, until water rises by 25 cm on the other side. If the density of the oil is 0.8 g cc-1, the oil level will stand higher than the water level by:-
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The side wall of glass aquarium is 1 m high and 2 m long. When the aquarium is filled to the top with water. what is the net force against the side-
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The gauge pressure of 3×105 N m-2 must be maintained in the main water pipes of a city. How much work must be done to pump 50,000 m3 of water at a pressure of 1.0×105 N m-2-
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The barometric pressure and height on the earth are 105 Pa and 760 mm respectively. If it is taken to moon, then barometric height will be :-