Question

The liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.

• A. The speed is high at the wider end and high at the narrow end.
• B. The speed is low at the wider end and high at the narrow end.
• C. The speed is same at both ends in a stream line flow.
• D. The liquid flows with uniform velocity in the tube.

Answer 1

The correct option is B The speed is low at the wider end and high at the narrow end.

The theorem of continuity is valid.
$\therefore A_1{v}_1\rho =A_2{v}_2\rho$ as the density of the liquid can be taken as uniform.
$\therefore A_1{v}_1=A_2{v}_2$
$\Rightarrow$ Smaller the area, greater the velocity.