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An airplane of a total wing area of \(120~\text{m}^2\) is in a level flight at some height. If the pressure difference between the upper and lower surface is \(2.5~\text{kPa}\), then the mass of the airplane is:

(Take \(g=10~\text{ms}^{-2}\))

1. \(2\times10^3~\text{kg}\)

2. \(3\times10^4~\text{kg}\)

3. \(5\times10^4~\text{kg}\)

4. \(7\times10^4~\text{kg}\)

(Take \(g=10~\text{ms}^{-2}\))

1. \(2\times10^3~\text{kg}\)

2. \(3\times10^4~\text{kg}\)

3. \(5\times10^4~\text{kg}\)

4. \(7\times10^4~\text{kg}\)

Subtopic: Pressure |

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For the figures given below, the correct observation is:

1. | pressure at the bottom of the tank (a) is greater than at the bottom of the tank (b). |

2. | pressure at the bottom of the tank (a) is lesser than at the bottom of (b). |

3. | pressure depends upon the shape of the container. |

4. | pressure at the bottom of (a) and (b) are the same. |

Subtopic: Pressure |

84%

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A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:

1. | Maximum force on the base will be for vessel C |

2. | Maximum force on the base will be for vessel B |

3. | Maximum force on the base will be for vessel A |

4. | Force on the base will be equal for all the vessels |

Subtopic: Pressure |

82%

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If pressure at half the depth of a lake is equal to 2/3^{rd} the pressure at the bottom of the lake, then the depth of the lake is:

1. | 10 m | 2. | 20 m |

3. | 60 m | 4. | 30 m |

Subtopic: Pressure |

70%

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A diver is \(10\) m below the surface of the water. The approximate pressure experienced by the diver is:

1. \(10^5\) Pa

2. \(2\times10^5\) Pa

3. \(3\times10^5\) Pa

4. \(4\times 10^5\) Pa

Subtopic: Pressure |

66%

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The area of cross-section of the wider tube shown in the figure is $800$ ${\mathrm{cm}}^{2}.$ If a mass of 12 kg is placed on the massless piston, then the difference in heights h of the levels of water in the two tubes will be:

1. | 10 cm | 2. | 6 cm |

3. | 15 cm | 4. | 2 cm |

Subtopic: Pressure |

68%

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The value of g at a place decreases by 2%. Then, the barometric height of mercury:

1. | increases by 2%. | 2. | decreases by 2%. |

3. | remains unchanged. | 4. | sometimes increases and sometimes decreases. |

Subtopic: Pressure |

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The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. The ratio of density of mercury to that of air is ${10}^{4}$. The height of the hill is:

1. | 250 m | 2. | 2.5 km |

3. | 1.25 km | 4. | 750 m |

Subtopic: Pressure |

63%

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A siphon in use is demonstrated in the following figure. The density of the liquid flowing in the siphon is 1.5 gm/cc. The pressure difference between the point P and S will be:

1. | 10^{5} N / m |
2. | 2 × 10^{5} N / m |

3. | Zero | 4. | Infinity |

Subtopic: Pressure |

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A vertical U-tube of uniform inner cross section, contains mercury in both its arms. A glycerin (density = 1.3 g/${\mathrm{cm}}^{3}$) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm/${\mathrm{cm}}^{3}$ is poured into the other arm until the upper surfaces of the oil and glycerin are at the same horizontal level. Find the length of the oil column. [Density of mercury = 13.6 g/${\mathrm{cm}}^{3}$]

1. 10.4 cm

2. 8.2 cm

3. 7.2 cm

4. 9.6 cm

Subtopic: Pressure |

63%

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