Question

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

• A. $3.0ms^{- 1}$
• B. $1.5ms^{- 1}$
• C. $1.0ms^{- 1}$
• D. $2.25ms^{- 1}$

Answer 1

Answer: (C)

If the liquid is incompressible then mass of liquid entering through left end, should be equal to mass of liquid coming out from the right end.
$\therefore M=m_{1}+m_{2}\Rightarrow Av_{1}=Av_{2}+1.5A.v$
$\Rightarrow A\times 3=A\times 1.5+1.5A.v\Rightarrow v=1ms^{- 1}$