A large tank filled with water to a height 'h'is to be emptied through a small hole at the bottom.Wh

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let A be area of vessel.

a be area of hole

at any time let H be level of water in the vessel.

Time taken for water level to get reduced from H to 0 is given by

Time taken for water level to get reduced from H/2 to 0 is given by

therefore Time taken for water level to get reduced from H to H/2 is given by (T1)=

--- ---------------------1

and Time taken for water level to get reduced from H/2 to 0 is given by (T2) = -------------2

on dividing eqn 1 by 2 we get. T1/T2 =

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