Question

An ideal fluid with pressure $p$ flows through a horizontal pipe with radius $r$. If the radius of the pipe is increased by a factor of 2, which of the following most likely gives the new pressure?

• A. $p$
• B. $4p$
• C. $16p$
• D. The new pressure cannot be determined without more information

Hint:

In fluid dynamics, the pressure change depends on the flow rate, fluid velocity, and other parameters.

Answer 1

The Correct Option is D

The pressure change depends on the flow rate and other factors like the velocity of the fluid, which cannot be determined just from the change in radius. Therefore, more information is needed to determine the new pressure.