Question

An incompressible liquid is flowing through a horizontal pipe as shown in figure. The value of speed $v$ is

• A. $1.1{ms}^{-1}$
• B. $2.1{ms}^{-1}$
• C. $1.67{ms}^{-1}$
• D. $5.1{ms}^{-1}$

Answer 1

The correct option is A $1.1{ms}^{-1}$

By equation of continuity

$A_1{V}_1=A_2{V}_2+A_3{V}_3$

hence $8\times A=0.8A\times 6+3A\times V$

$8=4.8+3V$

$\frac{3.2}{3}=V\Rightarrow V=1.1m/s$