A cylindrical tank is filled with water to level of 3 m. A hole is opened atheight of 52.5 cm from bottom. The ratio of the area of the hole to that ofcross-sectional area of the cylinder is 0.1. The square of the speed with whichwater is coming out from the orifice is (Take g = 10 ms^{-2}) (a) 50 m^2s^{-2} (b) 40 m^2s^{-2} (c) 51.5 m^2s^{-2} (d) 50.5 m^2s^-

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Q. A cylindrical tank is filled with water to a level of 3 m. A hole is opened at a height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross sectional area of the cylinder is 0.1. Find the square of the velocity (in

m^{2} / {sec}^{2}

) with which water is coming out.

(g = 10 m / {sec}^{2})

Q. A cylindrical tank is filled with water to level of 3

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The square of the speed with which water is coming out from the orifice is (Take g= 10

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Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-section area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is

Q. A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity

0.8

). The height of water is

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and that of kerosene

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Q. 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. Some water comes out from the orifice and the water level in the vessel becomes steady with height of water column being 200 mm. Find the fall in height (in mm) of water level due to opening of the orifice.
(IIT-JEE-2009)
[Take atmospheric pressure =

1.0 \times 10^{5} N / m 2,

density of water =

1000 k g / m^{3}

and g

= 10 m / s^{2} .

Neglect any effect of surface tension.]

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