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Q.

A cylindrical vessel of height hand base area S is filled with water. An orifice of area s < < S is opened in the bottom of the vessel. Neglecting the viscosity of water determine how soon all the water will flow out of the vessel?

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a

Time = Ss2hg

b

Time=sSg2h

c

Time =Ss2gh

d

Time =2hgSs

answer is A.

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Detailed Solution

When the depth of liquid is y ,applying equation of continuity we can write ,          -S dy = s2gy dt        ⇒∫0tdt = - Ss2g∫0hy-12dy           ⇒t = Ss2hg
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