If an incompressible liquid is flowing through a horizontal pipe having branches of area \(\mathrm{A},\) \(0.4\mathrm{A},\) and \(0.5\mathrm{A}\) as shown in the figure, then the value of \(\mathrm{v}\) is:
1. 3.2 m/s
2. 6.4 m/s
3. 1.6 m/s
4. 0.8 m/s
In a horizontal pipe of non-uniform cross-section, water flows with a velocity of 1 m s at a point where the diameter of the pipe is 20 cm. The velocity of water (m s) at a point where the diameter of the pipe is 5 cm is:
1. 8
2. 16
3. 24
4. 32
From the given diagram, what is the velocity \(v_3?\)
1. \(4\) m/s
2. \(3\) m/s
3. \(1\) m/s
4. \(2\) m/s
An incompressible fluid flows steadily through a cylindrical pipe which has a radius 2r at point A and a radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is:
1. 2v
2. v
3. v/2
4. 4v
The cylindrical tube of a spray pump has radius R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is v, then the speed of ejection of the liquid through the holes will be:
1. vR2/n2r2
2. vR2/nr2
3. vR2/n3r2
4. v2R/nr
Equation of continuity is based on:
1. | Conservation of mass |
2. | Conservation of energy |
3. | Conservation of angular momentum |
4. | None of these |
Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure p at points along the axis is represented by:
1. | 2. | ||
3. | 4. |
The diameter of a syringe is \(4~\text{mm}\) and the diameter of its nozzle (opening) is \(1~\text{mm}\). The syringe is placed on the table horizontally at a height of \(1.25~\text{m}\). If the piston is moved at a speed of \(0.5~\text{m/s}\), then considering the liquid in the syringe to be ideal, the horizontal range of liquid is: \(\left(g = 10~\text{m/s}^2 \right)\)
1. \(4~\text{m}\)
2. \(8~\text{m}\)
3. \(0.4~\text{m}\)
4. \(0.2~\text{m}\)