Q. An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity $v$ of the fluid is
A) $3.0\ m/s$
B) $1.5\ m/s$
C) $1.0\ m/s$
D) $2.25\ m/s$
Explanation
(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
$\therefore M = m_{1} + m_{2} \Rightarrow Av_{1} = Av_{2} + 1.5A.v$
$\Rightarrow A \times 3 = A \times 1.5 + 1.5A.v \Rightarrow v = 1\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.