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 the same at both ends in a stream line flow.
• D. The liquid flows with uniform velocity in the tube.

Hint:

In fluid flow, according to the continuity equation, the speed of flow increases when the cross-sectional area decreases.

Answer 1

The Correct Option is A

In a pipe with varying cross-sectional area (like a truncated cone), the speed of the fluid is inversely proportional to the cross-sectional area. At the wider end, the area is larger, and the speed is lower. At the narrow end, the area is smaller, so the speed increases.
Final Answer: \[ \boxed{\text{The speed is high at the wider end and low at the narrow end.}} \]