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Fluid MechanicsA cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initiallyclosed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orificeat the bottom is opened. Some water comes out from the orifice and the water level in the vesselbecomes steady with height of water column being 200 mm. Find the fall in height (in mm) of waterlevel due t○opening of the orifice. [Take atmospheric pressure = 1.0 × 105 N/m2, density of water1000 ka/m and q 10 m/s2. Neglect any effect of surface tension]сеLIT-JEE 2009, 4160,-1 |
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Answer» Since, P = P0- ρgh = 98 × 103N/m2 P0V0= PV 105[A(500 - H)] = 98 × 103[A(500 - 200)] H = 206 mm Level fall = 206 - 200 = 6 mm Hence, level fall = 6 mm |
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