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Consider steady flow of water in a situation where two pipe lines (pipe 1 and pipe 2) combine into a single pipe line (pie-3) as shown in the figure. The cross-sectional areas of all three pipelines are constant. The following data is given:                                                              

     

Pipe number

Area (m2)

Velocity (m/s)

     1

     1

    1

      2

     2

     2

       3

   2.5

      ?

 

Assuming the water properties and the velocities to be uniform across the cross section of the inlets and the outlet, the exit velocity (in ms) in pipe 3 is

      (a) 1                                (b) 1.5                          (c) 2                                (d) 2.5

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