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

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

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(gR)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|17 Videos
  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|86 Videos
  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos

Similar Questions

Explore conceptually related problems

If a tunnel is dug along the diameter of the earth and a ball is dropped into the tunnel, it will have

Assume that there is a tunnel in the shape of a circular arc through the earth. Wall of the tunnel is smooth. A ball of mass m is projected into the tunnel at A with speed v. The all comes out of the tunnel at B and escapes out of the gravity of the earth. Mass and radius of the earth are M and R respectively and radius of the circle shaped tunnel is also . Find minimum possible value of v (call it v_(0) ) If the ball is projected into the tunnel with speed v_(0) , calculate the normal force applied by the tunnel wall on the ball when it is closest to the centre of the earth. It is given that the closest distance between the ball and the centre of the earth is (R)/(2)

The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

The diagram showing the variation of gravitational potential of earth with distance from the centre of earth is

If V is the gravitational potential on the surface of the earth, then what is its value at the centre of the earth ?

A tunnel is dug across the diameter of earth. A ball is released from the surface of Earth into the tunnel. The velocity of ball when it is at a distance (R )/(2) from centre of earth is (where R = radius of Earth and M = mass of Earth)

If potential at the surface of earth is assigned zero value , then potential at centre of earth will be (Mass = M Radius = R)

If a tunnel is dug along the diameter of earth and a piece of stone is dropped into it, then the stone will

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Unsolved Numerical
  1. What should be the radius of a planet with mass equal to that of earth...

    Text Solution

    |

  2. Treating the earth as a symmetrical sphere of radius R = 6400 km with ...

    Text Solution

    |

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

    Text Solution

    |

  4. Two satellite S(1) and S(2) revolve around a planet in coplanar circul...

    Text Solution

    |

  5. A small body starts falling onto the Sun from a distance equal to the ...

    Text Solution

    |

  6. Gravitational potential difference between surface of a planet and a p...

    Text Solution

    |

  7. What woluld be the length of a day. If angular speed of earth is incre...

    Text Solution

    |

  8. A communication satellite is put in parking orbit. What is the time ta...

    Text Solution

    |

  9. A cord of length 64 m is used to connected a 100 kg astronaut to space...

    Text Solution

    |

  10. The escape velocity for a planet is 20 km//s. Find the potential energ...

    Text Solution

    |

  11. A particle of mass 1kg is placed at a distance of 4m from the centre a...

    Text Solution

    |

  12. A body of mass m rises to a height h=R//5 from the earth's surface whe...

    Text Solution

    |

  13. A missile which missed its target went into an orbit around the earth ...

    Text Solution

    |

  14. Compute the magnitude of the necessary launch velocity at B and angle ...

    Text Solution

    |

  15. Suppose Moon's orbital motion around the earth is suddenly stopped. Ma...

    Text Solution

    |

  16. Distance between the centres of two stars is 10alpha. The masses of th...

    Text Solution

    |

  17. If a body is to be projected vertically upwards from earth's surface t...

    Text Solution

    |

  18. A satellite of mass , os revolving round the eartj at height of 10R, w...

    Text Solution

    |

  19. A sapceship nears the Moon along a parabolic trajectory that almost to...

    Text Solution

    |

  20. If Earth be at one half its present distance from the sun, how many da...

    Text Solution

    |