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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. \(8.0\)

1. \(0.008\)

2. \(0.08\)

3. \(0.8\)

4. \(8.0\)

Subtopic: Bernoulli's Theorem |

60%

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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

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 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 |

64%

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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 |

53%

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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. \(5.5\times 10^{5}~\text{Nm}^{-2}\)

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 |

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 ${\mathrm{mm}}^{2}$. 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 = $1.06\times {10}^{3}\mathrm{kg}{\mathrm{m}}^{-3}$)

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 \(F_1\) 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. \(1.9\times 10^{5}~\text{Pa}~\text{and}~1470~\text{N}\)

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 |

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. \(0.67~\text{cm}\)

2. \(6.7~\text{cm}\)

3. \(67~\text{cm}\)

4. \(6.3~\text{cm}\)

1. \(0.67~\text{cm}\)

2. \(6.7~\text{cm}\)

3. \(67~\text{cm}\)

4. \(6.3~\text{cm}\)

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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