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A cylindrical tank of cross sectional ar...

A cylindrical tank of cross sectional area `a_(1)` is filled with water to a height h. A hole of cross sectional area `a_(2)` is made at the bottom. If `a_(1)=5a_(2)`, then find the
(i) initial velocity with which the water falls in tank.
(ii) initial velocity with which water emerges out from hole.
(iii) time taken to make the tank empty.

Text Solution

AI Generated Solution

To solve the problem step by step, we will break down each part of the question systematically. ### Given: - Cross-sectional area of the tank, \( A_1 = 5A_2 \) - Height of water in the tank, \( h \) - Cross-sectional area of the hole, \( A_2 \) ### (i) Initial velocity with which the water falls in the tank (\( V_1 \)) ...
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