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)`]

A

`sqrtR`

B

`sqrt(gR`

C

`sqrt(2.5gR`

D

`sqrt(7.1gR`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    DISHA|Exercise PHYSICS|42 Videos
  • KINETIC THEORY OF GASES

    DISHA|Exercise PHYSICS|45 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

DISHA-GRAVITATION-Physics
  1. A body weighs 72 N on the surface of the earth. What is the gravitatio...

    Text Solution

    |

  2. A body weighs W newton at the surface of the earth. Its weight at a he...

    Text Solution

    |

  3. A shell of mass M and radius R has point mass m placed at a distance r...

    Text Solution

    |

  4. The largest and the shortest distance of the earth from the sun are r(...

    Text Solution

    |

  5. A planet is moving in an elliptic orbit. If T,V,E and L stand, respect...

    Text Solution

    |

  6. The earth is assumed to be a sphere of raduis R. A plateform is arrang...

    Text Solution

    |

  7. A solid sphere of mass M and radius R is surrounded by a spherical she...

    Text Solution

    |

  8. A body starts from rest from a point distant r(0) from the centre of t...

    Text Solution

    |

  9. A satellite of mass M is moving in a circle of radius R under a centri...

    Text Solution

    |

  10. The change in the value of g at a height h above the surface of the ea...

    Text Solution

    |

  11. Two indentical geostationary satellite each of mass m are moving with ...

    Text Solution

    |

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

    Text Solution

    |

  13. A satellite revolves around the earth of radius R in a circular orbit ...

    Text Solution

    |

  14. A(nonrotating) star collaps onto from an initial radius R(i) with its ...

    Text Solution

    |

  15. if the earth is treated as a sphere of radius Radn mass M, Its angular...

    Text Solution

    |

  16. A satellite is launched into a circular orbit of radius R around the e...

    Text Solution

    |

  17. A uniform spherical shell gradually shrinks maintainig its shape. The ...

    Text Solution

    |

  18. The depth at which the value of acceleration due to gravity is 1/n tim...

    Text Solution

    |

  19. Radius of moon is 1//4 times that of earth and mass is 1/81 times that...

    Text Solution

    |

  20. What is the minimum energy required to launch a satellite of mass m fr...

    Text Solution

    |