Home
Class 12
PHYSICS
A planet travels in an elliptical orbit ...

A planet travels in an elliptical orbit about a star as shown. At what pair of points is the speed of the planet the same?

A

W and S

B

P and T

C

P and R

D

Q and U

Text Solution

Verified by Experts

The correct Answer is:
D
In planetary motion,
Area velocity remain constant
So, `L/(2m)` = const `rArr (mwr^2)/(2m)` =const `rArr (mvr)/(2m)` = const
Hence, the velocity of the planet will be equal at the position which are at the same distance from the star.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise Level-2|30 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|43 Videos

  • GRAVITATION

    VMC MODULES ENGLISH|Exercise LEVEL -0 Long Answer Type|3 Videos

  • GASEOUS STATE & THERMODYNAMICS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

  • INTRODUCTION TO VECTORS & FORCES

    VMC MODULES ENGLISH|Exercise JEE Advanced ( ARCHIVE LEVEL-2)|12 Videos

Similar Questions

Explore conceptually related problems

In elliptical orbit of a planet

A planet revolves in elliptical orbit around the sun. (see figure). The linear speed of the planet will be maximum at

A planet revolves in elliptical orbit around the sun. (see figure). The linear speed of the planet will be maximum at

A planet orbits the sun in an elliptical path as shown in the figure. Let v_(p) " and " v_(A) be spped of the planet when at perohelion and aphelion respectively. Which of the following relations is correct ?

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 :

A planet is moving round the sun in an elliptical orbit as shows. As the planet moves from A to B

A planet revolves around the sun in elliptical orbit of eccentricity 'e'. If 'T' is the time period of the planet then the time spent by the planet between the ends of the minor axis and major axis close to the sun is

A planet is revolving in an elliptical orbit around the sun as shown in the figure. The areal velocity (area swapped by the radius vector with respect to sun in unit time) is:

In the figure shown a planet moves in an elliptical orbit around the sun. Compare the speeds, linear and angular momenta at the points A and B .

A planet of mass m is in an elliptical orbit about the sun with an orbital period T . If A be the area of orbit, then its angular momentum would be

VMC MODULES ENGLISH-GRAVITATION-Level-1 MCQs
  1. Assume that Earth is in circular orbit around the Sun with kinetic ene...

    Text Solution

    |

  2. A planet revolves in elliptical orbit around the sun. (see figure). Th...

    Text Solution

    |

  3. A planet travels in an elliptical orbit about a star as shown. At what...

    Text Solution

    |

  4. Kepler's second law regarding the constancy of areal velocity of a pla...

    Text Solution

    |

  5. A planet of mass m is the elliptical orbit about the sun (mlt ltM("sun...

    Text Solution

    |

  6. The period of moon's rotation around the earth is nearly 29 days. If m...

    Text Solution

    |

  7. The gravitational force between two objects is proportional to 1//R (a...

    Text Solution

    |

  8. Two spheres each of mass M and radius R are separated by a distance of...

    Text Solution

    |

  9. A particle is projected vertically upwards with a velocity sqrt(gR), w...

    Text Solution

    |

  10. A satellite is launched into a circular orbit close to the earth's sur...

    Text Solution

    |

  11. A spherical planet has uniform density pi/2xx10^(4)kg//m^(3). Find out...

    Text Solution

    |

  12. A particle is projected from point A, that is at a distance 4R form th...

    Text Solution

    |

  13. Imagine a light planet revolving around a very massive star in a circu...

    Text Solution

    |

  14. Two identical satellites are moving around the Earth in circular orbit...

    Text Solution

    |

  15. A system consists of n identical particles each of mass m. The total n...

    Text Solution

    |

  16. A body weighs w Newton on the surface of the earth. Its weight at a he...

    Text Solution

    |

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

    Text Solution

    |

  18. A planet of mass m moves along an ellipse around the Sun so that its m...

    Text Solution

    |

  19. A ball A of mass m falls on the surface of the earth from infinity. An...

    Text Solution

    |

  20. A satellite revolves in the geostationary orbit but in a direction eas...

    Text Solution

    |