In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by \(v\; = \;u_o\left( {1 + \frac{{3{\rm{x}}}}{L}} \right){\rm{}},\) where x is the distance along the axis of the nozzle from its inlet plane and L is the length of the nozzle. The time required for a fluid particle on the axis to travel from the inlet to the exit plane of the nozzle is

In a steady flow through a nozzle, the flow velocity on the nozzle axi

1.	In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by \(v\; = \;u_o\left( {1 + \frac{{3{\rm{x}}}}{L}} \right){\rm{}},\) where x is the distance along the axis of the nozzle from its inlet plane and L is the length of the nozzle. The time required for a fluid particle on the axis to travel from the inlet to the exit plane of the nozzle is
A.	\(\frac{L}{{{u_0}}}\)
B.	\(\frac{L}{{3{u_0}}}ln4\)
C.	\(\frac{L}{{4{u_0}}}\)
D.	\(\frac{L}{{2.5{u_0}}}\)
Answer» C. \(\frac{L}{{4{u_0}}}\)