Home
Class 11
PHYSICS
The escape velocity of a body depeds upo...

The escape velocity of a body depeds upon mass as

A

`m^0`

B

`m^1`

C

`m^2`

D

`m^3`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Escape velcoity, `v_c = sqrt(2gR) = sqrt(2GM)/(R ) rArr V_e propm^0`
Where M, R are the mass and radius of the planet
respectively. In this experssion the mass of the body
(m) is not present showing that the escape velocity is
independent of the mass.
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|219 Videos

Similar Questions

Explore conceptually related problems

The escape velocity v of a body depends upon the acceleration due to gravity of the planet and the radius of the planet R. Establish dimensionally the relationship between v, g and R.

Does the escape velocity of a body depend on the density of a planet?

Does the escape velocity of a body depend on the density of a planet ?

The escape velocity of a body does not depend on the mass of the body.

The escape velocity for a body of mass 10 kg on a planet P is 11.2 km//s . What will be escape velocity at the same planet for a body of mass 20 kg ?

Two bodies each of mass 1kg are at a distance of 1m. The escape velocity of a body of mass 1 kg which is midway between them is

The escape velocity for a body projected from a planet depends on

SUNIL BATRA (41 YEARS IITJEE PHYSICS)-GRAVITATION-JEE Main And Advanced
  1. If suddenly the gravitational force of attraction between Earth and a...

    Text Solution

    |

  2. Energy required to move a body of mass m from an orbit of radius 2R to...

    Text Solution

    |

  3. The escape velocity of a body depeds upon mass as

    Text Solution

    |

  4. The time period of a satellite of earth is 5 hours. If the separation ...

    Text Solution

    |

  5. Two spherical bodies of mass M and 5M & radii R & 2R respectively are ...

    Text Solution

    |

  6. The escape velocity for a body projected vertically upwards from the s...

    Text Solution

    |

  7. A satellite of mass m revolves around the earth of radius R at a hight...

    Text Solution

    |

  8. The time period of an earth stellite in circuarl orbit is independet f...

    Text Solution

    |

  9. If 'g' is the potential energy of an object of mass 'm' raised from th...

    Text Solution

    |

  10. Suppose the gravitational force varies inversely as the nth power of d...

    Text Solution

    |

  11. The change in the value of 'g' at a height 'h' above the surface of th...

    Text Solution

    |

  12. A particle of mass 10g is kept on the surface of a uniform sphere of ...

    Text Solution

    |

  13. Average density of the earth

    Text Solution

    |

  14. A planet in a distant solar systyem is 10 times more massive than the ...

    Text Solution

    |

  15. This question contains Statement -1 and Stantement -2 Of the four choi...

    Text Solution

    |

  16. The height at which the acceleration due to gravity becomes (g)/(9) (w...

    Text Solution

    |

  17. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  18. The mass of a spaceship is 1000kg. It is to be launched from the earth...

    Text Solution

    |

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

    Text Solution

    |

  20. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |