From the given diagram, the speed with which water leaves the tube B of small diameter is-
1. | \(\sqrt{2 \left(gh\right)_{1}}\) | 2. | \(\sqrt{2 \left(gh\right)_{2}}\) |
3. | \(\sqrt{2 g \left(h_{1} + h_{2}\right)}\) | 4. | \(\sqrt{2 g \left(h_{2} - h_{1}\right)}\) |
An iron sphere is dropped into a viscous liquid. Which of the following represents its acceleration \((a)\) versus time \((t)\) graph?
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. \(0.2~\text{m}\)
A water tank is kept at a height H above the ground and the tank contains depth H of water as shown. Find the maximum possible range of water current, if there exists a small hole on the sidewall of the tank.
1. | 2H | 2. | |
3. | 4. | H |
Water flows through a frictionless tube with a varying cross-section as shown in the figure. Variation of pressure P at point x along the axis is roughly given by:
1. | 2. | ||
3. | 4. |
Two soap bubbles are connected by a tube as shown in the figure. Which of the following statement is true?
1. | The volume of A will increase. | 2. | The volume of A will remain constant. |
3. | The volume of B will increase. | 4. | The volume of B will decrease. |
Water flows through a horizontal tube as shown in figure. If the difference in heights of water column in vertical tubes is 80 cm and the area of cross-section at A and B are 5 cm2 and 3 cm2 respectively, then the rate of flow of water at A( in cc/sec) is:-
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1.
2.
3. 150
4. None of these
The velocity of a small ball of mass m and density when dropped in a container filled with glycerin of density becomes constant after sometime. The viscous force acting on the ball in the final stage is:-
1.
2.
3.
4. mg
Small droplets of liquid are usually more spherical in shape than the larger drops of the same liquid because:
1. | the force of surface tension is equal and opposite to the force of gravity. |
2. | the force of surface tension predominates the force of gravity. |
3. | the force of gravity predominates the force of surface tension. |
4. | the force of gravity and the force of surface tension act in the same direction and are equal. |
The speed of flow past the lower surface of a wing of an aeroplane is \(50\) m/s. What speed of flow over the upper surface will give a dynamic lift of \(1000\) Pa? (density of air \(1.3\) kg/m3)
1. \(25.55\) m/s
2. \(63.55\) m/s
3. \(13.25\) m/s
4. \(6.35\) m/s