A large open tank has n holes. The ith hole is of area Ai and is situated at a depth yi from the free surface (i = 1, 2, 3, ...., n). When the tank is completely filled with water, the quantities of water flowing out per unit time from all holes are equal. If y1, y2, y3, ... are in A.P. then

Engineering

Physics

Liquid Pressure

Calculus

BernoulIis Equation and Equation of Continuity

Question

A large open tank has n holes. The i^th hole is of area A_i and is situated at a depth y_i from the free surface (i = 1, 2, 3, ...., n). When the tank is completely filled with water, the quantities of water flowing out per unit time from all holes are equal. If y₁, y₂, y₃, ... are in A.P. then

None of these.

A₁, A₂, A₃, .... are in HP

A₁², A₂², A₃², ... are in G.P.

A₁², A₂², A₃², .... are in HP

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Ai $\sqrt{2 gyi} = c$
y_i = $\frac{c^{2}}{A_{i}^{2}}$
$A_{i}^{2}$ = c_i²