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Q.

A cylinder of height 20m is completely filled with water. The velocity of efflux of water (in ms^-1) through a small hole on the side wall of the cylinder near its bottom is

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a

10 ms^-1

b

20 ms^-1

c

5 ms^-1

d

25.5 ms^-1

answer is B.

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Detailed Solution

Just inside and outside of the hole, applying Bernoulli's theorem,

$P_{inside} + ρgh + 0 = p_{outside} + \frac{{ρV}^{2}}{2}$

$ρ \times 10 \times 20 = ρ \times \frac{v^{2}}{2} \Rightarrow v^{2} = 400 \Rightarrow v = 20$

Hence the correct answer is 20m/s.

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A cylinder of height 20m is completely filled with water. The velocity of efflux of water (in ms-1) through a small hole on the side wall of the cylinder near its bottom is