An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity v of the fluid is

Options

A. 3.0 m/s
B. 1.5 m/s
C. 1.0 m/s
D. 2.25 m/s

Answer

C

Explanation

Volume flowing per second on the left side = volume flowing per second in `1^(st)` branch + volume flowing per second in `2^(nd)` branch
i.e, `Av_(1) = Av_(2) + 1.5Av`
or `A xx 3 = A xx 1.5 + 1.5 Av or v= 1 m//s`