
An ideal incompressible fluid flows steadily through a pipe of varying cross-sectional diameter. The maximum and minimum diameters of the pipe are \(6.4~\text{cm}\) and \(4.8~\text{cm},\) respectively. What is the ratio of the minimum fluid speed to the maximum fluid speed?
1. \(\dfrac{3}{4}\)
2. \(\dfrac{81}{256}\)
3. \(\dfrac{\sqrt{3}}{2}\)
4. \( \dfrac{9}{16}\)
| 1. | \({x=r}\left({H\over H+h}\right)^2\) | 2. | \({x=r}\left({H\over H+h}\right)\) |
| 3. | \(x=r\left(\frac{H}{H+h}\right) ^\frac{1}{4}\) | 4. | \(x=r\left(\frac{H}{H+h}\right) ^\frac{1}{2}\) |