Question

A 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 low 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

Answer: (B)

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