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(C) For an incompressible fluid,the equation of continuity states that the volume flow rate entering the junction must equal the volume flow rate leav

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$1$

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(C) For an incompressible fluid,the equation of continuity states that the volume flow rate entering the junction must equal the volume flow rate leaving the junction.Let $A_1$ be the cross-sectional area and $v_1$ be the velocity at the inlet.Let $A_2$ and $v_2$ be the area and velocity of the first branch,and $A_3$ and $v$ be the area and velocity of the second branch.According to the figure:$A_1 = A, v_1 = 3.0 \ m/s$$A_2 = A, v_2 = 1.5 \ m/s$$A_3 = 1.5A, v = v$Applying the continuity equation:$A_1 v_1 = A_2 v_2 + A_3 v$$A 	imes 3.0 = A 	imes 1.5 + 1.5A 	imes v$Dividing both sides by $A$:$3.0 = 1.5 + 1.5v$$1.5 = 1.5v$$v = 1 \ m/s$Thus,the velocity $v$ of the fluid is $1 \ m/s$.

An incompressible liquid flows through a horizontal tube as shown in the figure. Then,the velocity $v$ of the fluid is ......... $m/s$.

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