Home
Class 11
PHYSICS
A planet moving along an elliptical orbi...

A planet moving along an elliptical orbit is closest to the sun at a distance `r_(1)` and farthest away at a distance of `r_(2)`. If `v_(1)` and `v_(2)` are the linear velocities at these points respectively, then the ratio `(v_(1))/(v_(2))` is

A

`(r_("max"))/(r_("min"))`

B

`(r_("min"))/(r_("max"))`

C

`(r_("min")+r_("max"))/(r_("max")-r_("min"))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Conserving angular momentum
`mv_(1)v_("min")=mv_(2)r_("max")` or `(v_(1))/(v_(2))=r_("max")/r_("min")`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|24 Videos

  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise Assertion- Reasoning|13 Videos

  • GRAVITATION

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|15 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

A planet moves around the sun. It is closest to sun to sun at a distance d_(1) and have velocity v_(1) At farthest distance d_(2) its speed will be

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

µ_(1) and µ_(2) are the refractive index of two mediums and v_(1) and v_(2) are the velocity of light in these in two mediums respectively. Then, the relation connecting these quantities is

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 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

A planet revolves around the sun in an elliptical orbit. If v_(p) and v_(a) are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of the elliptical orbit is given by :

If u_(1), u_(2) and v_(1), v_(2) are the initial and final velocities of two particles before and after collision respectively, then (v_(2)-v_(1))/(u_(1)-u_(2)) is called ___________.

A planet is revolving round the sun is elliptical orbit. Velocity at perigee position ( nearest) is v_(1) and at apogee position ( farthest) is v_(2) . Both these velocities are perpendicular to the line joining centre of sun and planet. r_(1) is the minimum distance and r_(2) the maximum distance. At apogee position suppose speed of planet is slightly decreased from v_(2) , then what will happen to minimum distance r_(1) and maximum distance r_(2) in the subsequent motion.

A planet is revolving round the sun is elliptical orbit. Velocity at perigee position ( nearest) is v_(1) and at apogee position ( farthest) is v_(2) . Both these velocities are perpendicular to the line joining centre of sun and planet. r_(1) is the minimum distance and r_(2) the maximum distance. When the planet is at perigee position, it wants to revolve in a circular orbit by itselff. For this, value of G

A planet of mass m is moving in an elliptical orbit about the sun (mass of sun = M). The maximum and minimum distances of the planet from the sun are r_(1) and r_(2) respectively. The period of revolution of the planet wil be proportional to :

CENGAGE PHYSICS ENGLISH-GRAVITATION-Single Correct
  1. A tunnel is dug along a diameter of the earth. Find the force on a par...

    Text Solution

    |

  2. The value of g at a certain height h above the free surface of the ear...

    Text Solution

    |

  3. A planet moving along an elliptical orbit is closest to the sun at a d...

    Text Solution

    |

  4. Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m, ... from a point P....

    Text Solution

    |

  5. Suppose that the acceleration of a free fall at the surface of a dista...

    Text Solution

    |

  6. Three uniform spheres each having a mass M and radius a are kept in su...

    Text Solution

    |

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

    Text Solution

    |

  8. A man weighs 80 kg on the surface of earth of radius r. At what height...

    Text Solution

    |

  9. The gravitational potential energy of an isolated system of three part...

    Text Solution

    |

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

    Text Solution

    |

  11. Consider two solid uniform spherical objects of the same density rho. ...

    Text Solution

    |

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

    Text Solution

    |

  13. Four particles, each of mass M, move along a circle of radius R under ...

    Text Solution

    |

  14. The mass of the earth is 81 times the mass of the Moon and the distanc...

    Text Solution

    |

  15. Three equal masses m are placed at the three corners of an equilateral...

    Text Solution

    |

  16. Suppose the gravitational force varies inversely as the n^(th) power o...

    Text Solution

    |

  17. Two astronauts have deserted their spaceship in a region of space far ...

    Text Solution

    |

  18. A satellite of mass m revolves around the earth of radius R at a heigh...

    Text Solution

    |

  19. A projectile is fired from the surface of earth of radius R with a vel...

    Text Solution

    |

  20. An artificial satellite is moving in a circular orbit around the earth...

    Text Solution

    |