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JEE Advanced2009PhysicsMechanical Properties of FluidsActual

A cylindrical vessel of height 500 ~mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it upto height H . Now the top is completely sealed with a cap and the orifice at the bottom is opened. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200 mm . Find the fall in height (in mm ) of water level d

Correct answer

6

Step-by-step solution

In this question we will have to assume that temperature of enclosed air about water is constant (or p V= constant) gathered p=p₀- g h p₀[A(500-H)]=p[A(200)] gathered Solving these two equations, we get aligned H & =206 ~mm Level fall & =(206-200) mm & =6 ~mm aligned

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