Home
Class 11
PHYSICS
Ten small planes are flying at a speed o...

Ten small planes are flying at a speed of `150 km//h` in total darkness in an air space that is `20 xx 20 xx 1.5 km^(3)` in volume. You are in one of the planes, flying at random within this space with no way of knowing where the other planes are, On the average about how long a time will elapse between near collision with your plane. Assume for this rough computation that a safety region around the plane can be approximately by a sphere of radius 10 m.

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Step 1: Determine the volume of the airspace The airspace is given as a rectangular prism with dimensions \(20 \, \text{km} \times 20 \, \text{km} \times 1.5 \, \text{km}\). \[ \text{Volume} = 20 \times 20 \times 1.5 = 600 \, \text{km}^3 \] ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer type question|5 Videos
  • LAWS OF MOTION

    NCERT EXEMPLAR ENGLISH|Exercise Long answer Type Questions|9 Videos

Similar Questions

Explore conceptually related problems

A plane is flying at a speed of 720kmh^(-1) with respect to air. The wind is blowing at a speed of 54kmh^(-1) from west to east. With respect to ground the plane is found to be movig northwards. In which direction is the plane heading?

A body starts rolling down an inclined plane of length L and height h. This body reaches the bottom of the plane in time t. The relation between L and t is?

A car is moving on a straight road covers one third of the distance with a speed of 20 km/h and the rest with a speed of 60 km/h. The average speed of the car is

A cyclist is moving with a speed of 20 km h^(-1) . How long will he take to travel a distance of 1.5 km ?

A bomb is dropped from a plane flying horizontally with uniform speed. Show that the bomb will explode vertically below the plane.Is the statement true if the plane flies with uniform speed but not horizontally?

Time period of small oscillation (in a verical plane normal to the plane of strings) of the bob in the arrangement shown will be

A bus travelled the first one-third distance at a speed of 10 km//h , the next one-third at 20 km//h and the last one-third at 60 km//h . The average speed of the bus is

The Three coordiantes planes divide the space into ……. Parts.

The Three coordiantes planes divide the space into ……. Parts.

A jet airplane travelling at the speed of 500 km ^(-1) ejects its products of combustion at the speed of 1500 km h^(-1) relative to the jet plane. What is the speed of the burnt gases with respect to observer on the ground ?

NCERT EXEMPLAR ENGLISH-KINETIC THEORY-Multiple Choice Questions (MCQs)
  1. Which of the following diagrams (figure) depicts ideal gas behaviour?

    Text Solution

    |

  2. When an ideal gas is compressed adiabatically , its temperature rises ...

    Text Solution

    |

  3. Caculate the number of atoms in 39.4 g gold. Molar mass of gold is 197...

    Text Solution

    |

  4. The volume of a given mass of a gas at 27^(@)C, 1 atm is 100cc. What w...

    Text Solution

    |

  5. The molecules of a given mass of a gas have root mean square speeds of...

    Text Solution

    |

  6. Two molecules of a gas have speeds of 9xx10^(6) ms^(-1) and 1xx10^(6) ...

    Text Solution

    |

  7. A gas mixture consists of 2.0 moles of oxygen and 4.0 moles of neon a...

    Text Solution

    |

  8. Calculate the ratio of the mean free paths of the molecules of two gas...

    Text Solution

    |

  9. The container shown in figure has two chambers separated by a partitio...

    Text Solution

    |

  10. A gas mixture consists of molecules of A,B and C with masses m(A) g...

    Text Solution

    |

  11. We have 0.5 g of hydrogen gas in a cubic chamber of size 3 cm kept at ...

    Text Solution

    |

  12. When air is pumped into a cycle tyre the volume and pressure of the a...

    Text Solution

    |

  13. A balloon has 5.0 mole of helium at 7^(@)C. Calculate (a) the numbe...

    Text Solution

    |

  14. Calculate the number of degrees of freedom of molecules of hydrogen in...

    Text Solution

    |

  15. An insulated container containing monoatomic gas of molar mass m is m...

    Text Solution

    |

  16. Explain why (a) there is no atmosphere on moon (b) there is fall i...

    Text Solution

    |

  17. Consider an ideal gas with following distribution of spedds. (a) C...

    Text Solution

    |

  18. Ten small planes are flying at a speed of 150 km//h in total darkness ...

    Text Solution

    |

  19. A box of 1.00 m^(3) is filled with nitrogen at 1.50 atm at 300 k. The ...

    Text Solution

    |

  20. Consider a rectangular block of wood moving with a velocity v(0) in a ...

    Text Solution

    |