Question

Calculate the velocity with which the liquid gushes out of the 4 cm² outlet, if the liquid flowing in the tube is water and liquid in U tube has a specific gravity 12. Velocity of liquid at point A is $\sqrt{20.2}$ m/s –

• A. 2.5 m/s
• B. 5.5 m/s
• C. 8 m/s
• D. 10 m/s

Answer 1

Answer: (B)

5.5 m/s

Answer 2

P_A + $\frac{1}{2}\rho v_{A}^{2} = P_{B} + \frac{1}{2}\rho v_{B}^{2}$

$P_{A} - P_{B} = \frac{1}{2}\rho(v_{B}^{2} - v_{A}^{2})$

0.02 × 12000 × 10 = $\frac{1}{2}$ × 1000 $(v_{B}^{2} - 20.2)$

4.8 = $v_{B}^{2}$ – 20.2 Ž v_B = 5m/s

Ž A₃.v_B = A₁v₁ + A₂v₂

Ž 30 = 4v₁ + 8

Ž 4v₁ = 22 Ž v₁ = $\frac{22}{4}$ = 5.5 m/s