Question

An ideal fluid is flowing in two pipes of same cross-sectional pipes area. Both the pipes are connected with two vertical tubes, of length h₁ and h₂ as shown in figure. The flow is stream line in both pipes. If velocity of fluid at A, B, and C are 2 m/s, 4 m/s and 4 m/s respectively, the velocity of fluid at D (in m/s) is ______.

Options

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Answer 1

An ideal fluid is flowing in two pipes of same cross-sectional pipes area. Both the pipes are connected with two vertical tubes, of length h₁ and h₂ as shown in figure. The flow is stream line in both pipes. If velocity of fluid at A, B, and C are 2 m/s, 4 m/s and 4 m/s respectively, the velocity of fluid at D (in m/s) is 2.

Explanation:

Equation of continuity ⇒ v_A + v_B = v_C + v_D  

⇒ v_D = 2 m/s