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Q.

A cylinder containing water stands on a table of heightH . A small hole is punched in the side of cylinder at its horizontal distance R  from the table. Then, the depth of water in the cylinder is:

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a

H

b

R

c

RH

d

R2/4H

answer is D.

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Detailed Solution

Let h  be the height of liquid surface in the vessel. The velocity of efflux is given by veff.=(2gh) If H  be the height of table, thenH=12gt2  or t=(2H/g) ∴  R=veff.×t=2gh2H/g R2=4hH  or h=R24H
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A cylinder containing water stands on a table of heightH . A small hole is punched in the side of cylinder at its horizontal distance R  from the table. Then, the depth of water in the cylinder is: