Q.

A tank has a small hole in its side at a heighty y1. It is filled with a liquid (density ρ) to a height y2. If the absolute pressure at the top of the fluid is Pt, find the velocity with which it leaves the tank. Assume that the cross- sectional area of the tank is larger as compared to that of the hole.

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a

2(pt-p0)ρ+2g(y2-y1)

b

(pt-po)ρ+2g(y2-y1)

c

(pt-p0)ρ-2g(y2-y1)

d

2ptρ+2g(y2-y1)

answer is A.

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Detailed Solution

From equation of continuity, v2 = A1A2v1Since, A1<
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A tank has a small hole in its side at a heighty y1. It is filled with a liquid (density ρ) to a height y2. If the absolute pressure at the top of the fluid is Pt, find the velocity with which it leaves the tank. Assume that the cross- sectional area of the tank is larger as compared to that of the hole.