The terminal velocity of a copper ball of radius 2.0 mm falling through a tank of oil at 20 °C is 6.5 cm/s. The viscosity of the oil at 20 °C is? (Density of oil is 1.5×103 kg/m3, the density of copper is 8.9×103 kgm-3

1. 7.9×10-1 kgm-1s-1

2. 8.9×10-1 kgm-1s-1

3. 9.9×10-1 kgm-1s-1

4. 8.8×10-1 kgm-1s-1

Subtopic:  Viscosity |
 64%
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The flow rate of water from a tap of diameter 1.25 cm is 0.48 L/min. The coefficient of viscosity of water is 10-3 Pa s. After some time, the flow rate is increased to 3 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 |
 60%
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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 7.3×10-2 N/matmospheric pressure = 1.01×105 Pa, the density of water = 1000 kg m-3, g = 10 m s-2.

1.   1.01×105 Pa

2.   2.02×104 Pa

3.   1.03×105 Pa

4.   2.01×104 Pa

Subtopic:  Surface Tension |
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A fully loaded Boeing aircraft has a mass of 3.3×105 kg. Its total wing area is 500 m2. 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 |
 60%
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A metal block of area 0.10 m2 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 |
 53%
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A fully loaded Boeing aircraft has a mass of 3.3×105 kg. Its total wing area is 500 m2. 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, ρ = 1.2 kgm-3   and g = 9.8 m/s2]

1.  6.5×104 Nm-2

2.  6.5×103 Nm-2

3.  6.5×105 Nm-2

4.  5.5×105 Nm-2

Subtopic:  Bernoulli's Theorem |
 63%
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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 mm2. The narrower part has an area a = 4 mm2. The pressure drop in the artery is 24 Pa. What is the speed of the blood in the artery?

(Density of blood = 1.06×103 kg m-3)

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 F1 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 F1, respectively, are?

(g = 9.8 ms–2)

1. 1.9×106 Pa and 1400 N

2. 1.9×104 Pa and 1580 N

3. 19×105 Pa and 1570 N

4. 1.9×105 Pa and 1470 N

Subtopic:  Pressure |
 62%
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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 cm

2. 6.7 cm

3. 67 cm

4. 6.3 cm

Subtopic:  Pressure |
 64%
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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 |
 85%
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