Home
Class 12
PHYSICS
Let omega be the angular velocity of the...

Let `omega` be the angular velocity of the earth's rotation about its axis. Assume that the acceleration due to gravity on the earth's surface has the same value at the equator and the poles. An object weighed by a spring balance gives the same reading at the equator as at a height `h` above the poles `(h lt lt R)`. The value of `h` is

A

`(omega^(2)R^(2))/(g)`

B

`(omega^(2)R^(2))/(2g)`

C

`(2 omega^(2)R^(2))/(g)`

D

`sqrt(Rg)/(omega)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF MATTER,FLUIDS

    D MUKHERJEE|Exercise Type 2|35 Videos

  • PRACTICE WORKSHEET 3

    D MUKHERJEE|Exercise Matrix-Matching Type|1 Videos

  • SOUND WAVES

    D MUKHERJEE|Exercise All Questions|48 Videos

Similar Questions

Explore conceptually related problems

Let omega be the angular velocity of the earth's rotation about its axis. Assume that the acceleration due to gravity on the earth's surface has the same value at the equator and the poles. An object weighed at the equator gives the same reading as a reading taken at a depth d below earth's surface at a pole (dlt ltR) . the value of d is-

The earth rotates about its own axis, then the value of acceleration due to gravity is

The angular velocity of the earth's rotation about its axis is omega . An object weighed by a spring balance gives the same reading at the equator as at height h above the poles. The value of h will be

If omega_(E ) is the angular velocity of the earth rotating about its own axis and omega _(H) is the angular velocity of the hour of a clock , then

Use the assumptions of the previous question. An object weighed by a spring balance at the equator gives the same reading as a reading taken at a depth d below the earths surface at a pole (d gt gt R) . The value of d is

The acceleration due to gravity at a height h above the surface of the earth has the same value as that at depth d= ____below the earth surface.

If omega_E and omega_H are the angular velocities of the earth rotating about its own axis and the hour hand of the clock respectively, then

The acceleration due to gravity about the earth's surface would be half of its value on the surface of the earth at an altitude of ( R = 4000 mile )

If R is the radius of the earth , the height from its surface at which the acceleration due to gravity is 9% of its value at the surface is

D MUKHERJEE-PROPERTIES OF MATTER,FLUIDS-Type 2
  1. A n object is weighed at the North Pole by a beam balance and a spring...

    Text Solution

    |

  2. Let omega be the angular velocity of the earth's rotation about its ax...

    Text Solution

    |

  3. Use the assumptions of the previous question. An object weighed by a s...

    Text Solution

    |

  4. A double star is a system of two stars of masses m and 2m, rotating ab...

    Text Solution

    |

  5. Three point masses are at the corners of an equilateral traingle of si...

    Text Solution

    |

  6. For a planet moving around the sun in an elliptical orbit, which of th...

    Text Solution

    |

  7. The escape velocity for a planet is ve. A particle starts from rest at...

    Text Solution

    |

  8. The escape velocity for a planet is v(e). A particle is projected from...

    Text Solution

    |

  9. If a satellite orbits as close to the earth's surface as possible,

    Text Solution

    |

  10. For a satellite to orbit around the earth, which of the following must...

    Text Solution

    |

  11. A satellite close to the earth is in orbit above the equator with a pe...

    Text Solution

    |

  12. A satellite is to be geo-stationary, which of the following are essent...

    Text Solution

    |

  13. Two small satellies move in a circular orbits around the earth, at dis...

    Text Solution

    |

  14. Let S be an imaginary closed surface enclosing mass m.Let dvec(S) be a...

    Text Solution

    |

  15. A small mass m is moved slowly from the surface of the earth to a heig...

    Text Solution

    |

  16. A solid sphere of uniform density and radius 4 units is located with i...

    Text Solution

    |

  17. The magnitude of the gravitational field at distance r(1) and r(2) fro...

    Text Solution

    |

  18. An elastic metal rod will change its length when it

    Text Solution

    |

  19. The wires A and B shown in Fig. are made of the same material and have...

    Text Solution

    |

  20. A body of mass M is attached to the lower end of a metal wire, whose u...

    Text Solution

    |