Home
Class 12
PHYSICS
The masses and radii of the Earth and th...

The masses and radii of the Earth and the Moon are `M_1, R_1 and M_2,R_2` respectively. Their centres are at a distance d apart. The minimum speed with which a particel of mass m should be projected from a point midway between the two centres so as to escape to infinity is ........

A

`sqrt((G(M_(1) + M_(2)))/(d))`

B

`sqrt((2G(M_(1) + M_(2)))/(d))`

C

`sqrt((4G(M_(1) + M_(2)))/(d))`

D

`sqrt((GM_(1)M_(2))/(d))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    DISHA|Exercise physics|28 Videos
  • HEAT TRANSFER AND NEWTONS LAW OF COOLING

    DISHA|Exercise physics|30 Videos

Similar Questions

Explore conceptually related problems

The masses and radii of the earth an moon are M_(1) and R_(1) and M_(2), R_(2) respectively. Their centres are at a distacne r apart. Find the minimum speed with which the particle of mass m should be projected from a point mid-way between the two centres so as to escape to infinity.

The masses and radii of the earth and moon are (M_(1), R_(1)) and (M_(2), R_(2)) respectively. Their centres are at a distance r apart. Find the minimum escape velocity for a particle of mass 'm' to be projected from the middle of these two masses :

The radii of a planet and its satellite are 2r and r and their densities are rho and 2rho respectively. Their centres are separated by a distance d. The minimum speed with which a body should be projected from the mid point of the line joining their centres so that the body escapes to infinity is (G-universal gravitational constant)

Two particles, each of mass m, are a distance d apart. To bring a third particle, also having mass m, from far away to the point midway between the two particles an external agent does work given by:

Two point masses m and M are separated bya distance L . The distance of the centre of mass of the system from m is

Two satellite fo masses m and 4m orbit the earth in circular orbits of radii 4r and r respectively. The ratio of their orbital speed is

Two satellites of masses 3 m and m orbit the earth in circular orbits of radii r and 3 r respectively. The ratio of the their speeds is

If d is the distance between the centre of the earth of mass M_(1) and the moon of mass M_(2) , then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escape is

Earth and moon centre distance is 'r'. From the mid point what should be the speed of the particle so that it can escape to infinity?

DISHA-GRAVITATION-Physics
  1. A satellite of mass m is revolving in a circular orbit of radius r. Th...

    Text Solution

    |

  2. A spaceship is launched into a circular orbit close to the earth's sur...

    Text Solution

    |

  3. The ratio of the radius of the earth to that of moon is 10. The ratio ...

    Text Solution

    |

  4. Acceleration due to gravity on a planet is 10 times the value on the e...

    Text Solution

    |

  5. The Jupiter’s period of revolution round the Sun is 12 times that of t...

    Text Solution

    |

  6. The mean distance of Mars from the sun in 1.524 times that of the Eart...

    Text Solution

    |

  7. The semi-major axes of the orbits of mercury and mars are respectively...

    Text Solution

    |

  8. If a graph is plotted between T^(2) and r^(3) for a planet, then its s...

    Text Solution

    |

  9. The masses and radii of the Earth and the Moon are M1, R1 and M2,R2 re...

    Text Solution

    |

  10. A satellite has to revolve round the earth in a circular orbit of radi...

    Text Solution

    |

  11. If the satellite is stopped suddenly in its orbit which is at a distna...

    Text Solution

    |

  12. A projectile is fired vertically upwards from the surface of the earth...

    Text Solution

    |

  13. A satellite is revolving in an orbit close to the earth’s surface. Tak...

    Text Solution

    |

  14. If the period of revolution of an artificial satellite just above the ...

    Text Solution

    |

  15. Two satellites A and B of equal mass move in the equatorial plane of t...

    Text Solution

    |

  16. Gas escapes from the surface of a planet because it acquires an escape...

    Text Solution

    |

  17. v(e) "and" v(p) denotes the escape velocity from the earth and anoth...

    Text Solution

    |

  18. Select the wrong statements from the following (1) The orbital veloc...

    Text Solution

    |

  19. Assertion: The speed of revolution of an artificial satellite revoving...

    Text Solution

    |

  20. Assertion: if an earth satellite moves to a lower orbit, there is some...

    Text Solution

    |