Home
Class 11
PHYSICS
A diametrical tunnel is dug across the e...

A diametrical tunnel is dug across the earth A ball is dropped into the tunnel from one side. The velocity of the ball when it reaches the centre of the earth ts
(Given: gravitational potential at the centre of earth `= (-3GM)/(2R)`)

A

`sqrtR`

B

`sqrt(gR)`

C

`sqrt(2.5gR)`

D

`sqrt(7.1gR)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    PATHFINDER|Exercise QUESTION BANK|139 Videos

  • HYDROSTATICS, VISCOSITY AND SURFACE TENSION (HYDRODYNAMICS)

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

If a straight tunnel is bored from the north pole to the south pole of the earth and if a body is dropped into that tunnel then what time will the body take to move from one end to the other end of the tunnel?

A piece of matter of mass m is thrown up vertically from the earth's surface and it rises up to a height R. (Radius of the earth=R.) What is the initial velocity of the piece of matter ? Show that the increase in potential energy of the piece of matter =1/2 mgR.

PATHFINDER-GRAVITATION-QUESTION BANK
  1. Three uniform spheres, each having mass m and radius r, are kept in su...

    Text Solution

    |

  2. A man weighs 80 kg on the surface of earth of radius R. At what height...

    Text Solution

    |

  3. A diametrical tunnel is dug across the earth A ball is dropped into th...

    Text Solution

    |

  4. A tunnel is dug along a chord of the earth at a perpendicular distance...

    Text Solution

    |

  5. Which of the following are correct

    Text Solution

    |

  6. Let V and E denote the gravitational potential and gravitational field...

    Text Solution

    |

  7. An orbiting satellite will escape if

    Text Solution

    |

  8. A double star consists of two stars having masses M and 2M. The distan...

    Text Solution

    |

  9. Mark the correct statements

    Text Solution

    |

  10. Suppose a smooth tunnel is dug along a straight fine joining two point...

    Text Solution

    |

  11. Choose the wrong statements from the following

    Text Solution

    |

  12. A satellite is orbiting the earth in a circular orbit or radius r. Its

    Text Solution

    |

  13. A solid sphere of mass m and radius r is placed inside a hollow thin s...

    Text Solution

    |

  14. A solid sphere of mass m and radius r is placed inside a hollow thin s...

    Text Solution

    |

  15. The gravitational field in a region is given by vecE=(5N kg^-1)veci+ ...

    Text Solution

    |

  16. The gravitational field in a region is given by vecE=(5N kg^-1)veci+ ...

    Text Solution

    |

  17. In Column I, four artificial satellites of earth are shown, while in C...

    Text Solution

    |

  18. Four identical satellites are orbiting in four elliptical orbits havin...

    Text Solution

    |

  19. An artificial satellite is in circular orbit around the earth earth. O...

    Text Solution

    |

  20. Match Column-I with Column-II

    Text Solution

    |