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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 and some water is allowed to comes out slowly from the orifice. Eventually, the water level in the vessel becomes steady with a height of water column being 200 mm . Find the fall i

Correct answer

6

Step-by-step solution

In this question, we will have to assume that temperature is constant for enclosed air above water (or pV = constant) (∵ Boyle's Law) p = p 0 - ρgh ...(i) p 0 [A(500 - H)] = p[A(300)] ...(ii) Solving these two equations, we get H = 206 mm . Therefore, Level fall = (206 - 200) mm = 6 mm

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