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Q.

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in m/s) through a small hole on the side of the cylinder near its bottom is

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a

10

b

20

c

25.5

d

5

answer is B.

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Detailed Solution

Let P0 be the atmospheric pressure, p the density of liquid and v the velocity at which water is coming out. Now, we havePinside +ρgh+0=Poutside +ρV22 or P0+ρgh=P0+ρv22 ∴ V=(2gh)=2×10×20=20m/s
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A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in m/s) through a small hole on the side of the cylinder near its bottom is