
A cylinder of height \(20~\text{m}\) is completely filled with water. The velocity of efflux of water (in \(\text{ms}^{-1}\)) through a small hole on the side wall of the cylinder near its bottom, is:
1. \(10~\text{m/s}\)
2. \(20~\text{m/s}\)
3. \(25.5~\text{m/s}\)
4. \(5~\text{m/s}\)
The speed of water stream at which velocity head is \(10\text{ cm}\) of water will be: (take \(g = 1000\text{ cm/s}^2\))
1. \(121.2\text{ cm/s}\)
2. \(173.1\text{ cm/s}\)
3. \(141.4\text{ cm/s}\)
4. \(135.5\text{ cm/s}\)
| 1. | \(\sqrt{gH}\) | 2. | \(\sqrt{2gH}\) |
| 3. | \(\large\sqrt\frac{gH}{2}\) | 4. | \(2\sqrt{gH}\) |
The speed of flow past the lower surface of a wing of an aeroplane is \(50\text{ m/s}.\) What speed of flow over the upper surface will give a dynamic lift of \(1000\text{ Pa}~\)? (density of air = \(1.3\text{ kg/m}^3\)):

1. \(25.55\text{ m/s}\)
2. \(63.55\text{ m/s}\)
3. \(13.25\text{ m/s}\)
4. \(6.355\text{ m/s}\)
| 1. | \(20~\text{kJ/m}^3\) | 2. | \(10~\text{kJ/m}^3\) |
| 3. | \(40~\text{kJ/m}^3\) | 4. | \(30~\text{kJ/m}^3\) |
| 1. | \(500~\text{J/m}^3\) | 2. | \(1000~\text{J/m}^3\) |
| 3. | \(1500~\text{J/m}^3\) | 4. | \(2000~\text{J/m}^3\) |