In the given figure,the velocity of the fluid | vedclass

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(C) According to the equation of continuity for an incompressible fluid,the total mass flow rate entering the junction must equal the total mass flow

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(C) According to the equation of continuity for an incompressible fluid,the total mass flow rate entering the junction must equal the total mass flow rate leaving the junction.Since the fluid is incompressible,the volume flow rate is conserved:$A_1 v_1 = A_2 v_2 + A_3 v_3$From the figure,the inlet area is $A$ with velocity $v_1 = 3 \ m/s$.The outlet areas are $A$ with velocity $v_2 = 1.5 \ m/s$ and $1.5A$ with velocity $v$.Substituting these values into the equation:$A 	imes 3 = A 	imes 1.5 + 1.5A 	imes v$Dividing both sides by $A$:$3 = 1.5 + 1.5v$$1.5 = 1.5v$$v = 1 \ m/s$

In the given figure,the velocity of the fluid $v = $ . . . . . . $m/s$.

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