Home
Class 12
PHYSICS
Speed of a planet in an ellioptical orbi...

Speed of a planet in an ellioptical orbit with semimajor axis a about sun of mass M at a distance r from sun is

A

`sqrt(GM((2)/(r)-(1)/(a))`

B

`sqrt(GM((1)/(r)-(1)/(a))`

C

`sqrt(GM((1)/(r)-(2)/(a))`

D

`sqrt((GMr)/(2a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|37 Videos
  • INTERFERENCE AND DIFFRACTION OF LIGHT

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|5 Videos

Similar Questions

Explore conceptually related problems

A planet of mass m revolves in elliptical orbit around the sun of mass M so that its maximum and minimum distance from the sun equal to r_(a) and r_(p) respectively. Find the angular momentum of this planet relative to the sun.

A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the sun is r_(min) . The farthest distance from the sun is r_(max) if the orbital angular velocity of the planet when it is nearest to the Sun omega then the orbital angular velocity at the point when it is at the farthest distance from the sun is

If a satellite is revolving around a plenet of mass M in an elliptical orbit of semi-major axis a . Show that the orbital speed of the satellite when it is a distance r from the focus will be given by upsilon^(2) = GM[(2)/(r ) - (1)/(a)]

A planet is revolving in an elliptical orbit around the sun. Its closest distance from the sun is r and the farthest distance is R. If the velocity of the planet nearest to the sun be v and that farthest away from the sun be V. then v/V is

Kepler's law starts that square of the time period of any planet moving around the sun in an elliptical orbit of semi-major axis (R) is directly proportional to

A planet A moves along an elliptical orbit around the Sun. At the moment when it was at the distance r_0 from the Sun its velocity was equal to v_0 and the angle between the radius vector r_0 and the velocity vector v_0 was equal to alpha . Find the maximum and minimum distances that will separate this planet from the Sun during its orbital motion.

A comet revolves around the sun in an eliptical orbit. When it is closest to the sun at a distance d, its corresponding kinetic energy is k_(0) . If it is farthest from the sun at distance 3d then the corresponding kinetic energy will be

A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the Sun is r and farthest distance is R . If the orbital velocity of the planet closest to the Sun is v , then what is the velocity at the farthest point?

A planet of small mass m moves around the sun of mass M along an elliptrical orbit such that its minimum and maximum distance from sun are r and R respectively. Its period of revolution will be:

A planet is revolving round the sun in an elliptical orbit, If v is the velocity of the planet when its position vector from the sun is r, then areal velocity of the planet is

DC PANDEY ENGLISH-GRAVITATION-All Questions
  1. A small planet is revolving around a very massive star in a circular o...

    Text Solution

    |

  2. If G is the uciversal gravitational constant and p is the uniform dens...

    Text Solution

    |

  3. Speed of a planet in an ellioptical orbit with semimajor axis a about ...

    Text Solution

    |

  4. The magnitude of potential energy per unit mass of the object at the s...

    Text Solution

    |

  5. The radius of a planet is R. A satellite revolves around it in a circl...

    Text Solution

    |

  6. Three solid spheres each of mass m and radius R are released from the ...

    Text Solution

    |

  7. The gravitational force acting on a particle, due to a solid sphere of...

    Text Solution

    |

  8. A satellite is moving in a circular orbit round the earth with a diame...

    Text Solution

    |

  9. A particle of mass m is moved from A to B as show in figure. Then pote...

    Text Solution

    |

  10. Two concentric spherical sheels are as shown in figure. The V - r grap...

    Text Solution

    |

  11. One ring of radius R and mass m and one solid sphere of same mass m an...

    Text Solution

    |

  12. A mass is taken from surface to a height h. The change in potential en...

    Text Solution

    |

  13. If radius of a solid sohere is decreases to half, keeping density of s...

    Text Solution

    |

  14. A particle of mass m is moving along the line y-b with constant accele...

    Text Solution

    |

  15. A particle of mass m is projected upword with velocity v=(v(e))/(2) (v...

    Text Solution

    |

  16. Two particles each of mass m are revolving in circular orbits of radiu...

    Text Solution

    |

  17. There is a concentric hole of radius R in a solid sphere of radius 2R....

    Text Solution

    |

  18. A particle is projected from the surface of earth with velocity equal ...

    Text Solution

    |

  19. Four similar particles of mass m are orbiting in a circle of radius r ...

    Text Solution

    |

  20. The gravitational potential of two homogeneous spherical shells A and ...

    Text Solution

    |