# The flow rate of water from a tap of diameter $$1.25$$ cm is $$0.48~\text{L/min}$$. The coefficient of viscosity of water is $$10^{-3}~\text{Pa s}.$$ After some time, the flow rate is increased to $$3~\text{L/min}$$. The type of flow initially and after increasing the velocity is: 1. streamline and turbulent 2. turbulent and streamline 3. streamline and streamline 4. turbulent and turbulent

Subtopic:  Types of Flows |
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The lower end of a capillary tube of diameter $$2.00$$ mm is dipped $$10.00$$ cm below the surface of the water in a beaker. The pressure required in the tube in order to blow a hemispherical bubble at its end in water is? The surface tension of water at the temperature of the experiment is $$7.3\times 10^{-2}~\text{N/m},$$ atmospheric pressure $$= 1.01\times 10^{5}~\text{Pa},$$ the density of water $$= 1000~\text{kg m}^{-3}, g = 10~\text{ms}^{-2}.$$
1. $$1.01\times 10^{5}~\text{Pa}$$
2. $$2.02\times 10^{4}~\text{Pa}$$
3. $$1.03\times 10^{5}~\text{Pa}$$
4. $$2.01\times 10^{4}~\text{Pa}$$

Subtopic:  Surface Tension |
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A fully loaded Boeing aircraft has a mass of $$3.3\times10^{5}~\text{kg}.$$ Its total wing area is $$500~\text{m}^2$$. It is in level flight with a speed of $$960$$ km/h. The fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface is:
1. $$0.008$$
2. $$0.08$$
3. $$0.8$$
4. $$8.0$$
Subtopic:  Bernoulli's Theorem |
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The terminal velocity of a copper ball of radius $$2.0$$ mm falling through a tank of oil at $$20^{\circ}\text{C}$$ is $$6.5~\text{cm/s}.$$ What is the viscosity of the oil at $$20^{\circ}\text{C}$$? (Density of oil is $$1.5\times 10^{3}~\text{kg/m}^3,$$ the density of copper is $$8.9\times10^{3}~\text{kgm}^{-3})$$
1. $$7.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}$$
2. $$8.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}$$
3. $$9.9\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}$$
4. $$8.8\times 10^{-1}~\text{kgm}^{-1}\text{s}^{-1}$$

Subtopic:  Viscosity |
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A metal block of area $$0.10~\text{m}^{2}$$ is connected to a $$0.010$$ kg mass via a string that passes over an ideal pulley (considered massless and frictionless), as in the figure below. A liquid film with a thickness of $$0.30$$ mm is placed between the block and the table. When released the block moves to the right with a constant speed of $$0.085$$ m/s. The coefficient of viscosity of the liquid is:

1. $$4.45 \times 10^{-2}~\text{Pa-s}$$
2. $$4.45 \times 10^{-3}~\text{Pa-s}$$
3. $$3.45 \times 10^{-2}~\text{Pa-s}$$
4. $$3.45 \times 10^{-3}~\text{Pa-s}$$

Subtopic:  Viscosity |
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A fully loaded Boeing aircraft has a mass of $$3.3\times 10^{5}~\text{kg}$$. Its total wing area is $$500~\text{m}^2.$$ It is in level flight with a speed of $$960$$ km/h. The pressure difference between the lower and upper surfaces of the wings is: [Given: Density of air, $$\rho = 1.2~\text{kgm}^{-3}~\text{and}~g = 9.8~\text{m/s}^2]$$
1. $$6.5\times 10^{4}~\text{Nm}^{-2}$$
2. $$6.5\times 10^{3}~\text{Nm}^{-2}$$
3. $$6.5\times 10^{5}~\text{Nm}^{-2}$$
4. $$5.5\times 10^{5}~\text{Nm}^{-2}$$
Subtopic:  Bernoulli's Theorem |
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The flow of blood in a large artery of an anesthetised dog is diverted through a Venturi meter. The wider part of the meter has a cross-sectional area equal to that of the artery. A = 8 ${\mathrm{mm}}^{2}$. The narrower part has an area a = 4 ${\mathrm{mm}}^{2}$. The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery?

(Density of blood = )

1.   145 m/s

2.   0.145 m/s

3.   123 m/s

4.   0.123 m/s

Subtopic:  Bernoulli's Theorem |
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In a car lift, the compressed air exerts a force $$F_1$$ on a small piston having a radius of $$5.0$$ cm. This pressure is transmitted to the second piston of a radius of $$15$$ cm. If the mass of the car to be lifted is $$1350$$ kg, the pressure necessary to accomplish this task and the force $$F_1,$$ respectively, are? ($$g = 9.8$$ ms–2)
1. $$1.9\times 10^{6}~\text{Pa}~\text{and}~1400~\text{N}$$
2. $$1.9\times 10^{4}~\text{Pa}~\text{and}~1580~\text{N}$$
3. $$19\times 10^{5}~\text{Pa}~\text{and}~1570~\text{N}$$
4. $$1.9\times 10^{5}~\text{Pa}~\text{and}~1470~\text{N}$$

Subtopic:  Pressure |
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Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are $$1.0$$ cm and $$3.0$$ cm respectively. If the smaller piston is pushed in through $$6.0$$ cm, how much does the larger piston move out?
1. $$0.67~\text{cm}$$
2. $$6.7~\text{cm}$$
3. $$67~\text{cm}$$
4. $$6.3~\text{cm}$$

Subtopic:  Pressure |
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Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are $$1.0$$ cm and $$3.0$$ cm respectively. Force exerted on the larger piston when a force of $$10$$ N is applied to the smaller piston:
1. $$80$$ N
2. $$90$$ N
3. $$10$$ N
4. $$20$$ N

Subtopic:  Pressure |
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