Home
Class 12
PHYSICS
The radius of the nearly circular orbit ...

The radius of the nearly circular orbit of mercury is `5.8xx10^(10)` m and its orbital period is 88 days. If a hypothetical planet has an orbital period of 55 days, what is the radius of its circular orbit ?

Text Solution

Verified by Experts

The correct Answer is:
`4.3 xx10^(10)m`
By kepler.s third law .
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|17 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - A (OBJECTIVE TYPE QUESTIONS)|41 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION -J (Aakash Challengers Questions)|6 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D|9 Videos

  • KINETIC THEORY

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos

Similar Questions

Explore conceptually related problems

The ratio of radius of second orbit of hydrogen to the radius of its first orbit is :

The time period of an earth satelite in circular orbit is independent of

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The orbital velocity of each star is

A communication satellite of earth which takes 24 hrs. to complete one circular orbit eventually has to be replaced by another satellite of double mass. It the new satellites also has an orbital time period of 24 hrs, then what is the ratio of the radius of the new orbit to the original orbit ?

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The mass m of the outer stars is:

A triple star ststem consists of two stars each of mass m in the same circular orbit about central star with mass M=2xx10^(33)kg . The two outer stars always lie at opposite ends of a diameter of their common circular orbit the radius of the circular orbit is r=10^(11) m and the orbital period each star is 1.6xx10^(7)s [take pi^(2)=10 and G=(20)/(3)xx10^(-11)Mn^(2)kg^(-2) ] Q. The total machanical energy of the system is

A satellite is orbiting the earth in a circular orbit of radius r . Its

The radius of the first orbit of hydrogen atom is 0.52xx10^(-8)cm . The radius of the first orbit of helium atom is

The period of a satellite in a circular orbit of radius R is T. What is the period of another satellite in a circular orbit of radius 4 R ?

What is the mass of the planet that has a satellite whose time period is T and orbital radius is r ?

AAKASH INSTITUTE ENGLISH-GRAVITATION -TRY YOUR SELF
  1. The time period of earth is taken as T and its distance from sun as R....

    Text Solution

    |

  2. The period of revolution of a satellite in an orbit of radius 2R is T....

    Text Solution

    |

  3. The radius of the nearly circular orbit of mercury is 5.8xx10^(10) m a...

    Text Solution

    |

  4. What will happen to the gravitational force between two bodies if they...

    Text Solution

    |

  5. If the distance between earth and sun is increased by 2 % , the...

    Text Solution

    |

  6. Two celestial bodies are separated by some distance. If the mass of an...

    Text Solution

    |

  7. By what percent will the gravitational force between the two bodies be...

    Text Solution

    |

  8. Four point masses each mass m kept at the vertices of a square. A poin...

    Text Solution

    |

  9. Three equal masses of 1.5 kg each are fixed at the vertices of an equi...

    Text Solution

    |

  10. Two sphere of masses m and M are situated in air and the gravitational...

    Text Solution

    |

  11. Four particles of equal mass are moving round a circle of radius ...

    Text Solution

    |

  12. A mass M is broken into two parts of masses m(1) and m(2). How are m(1...

    Text Solution

    |

  13. Calculate the value of acceleration due to gravity on moon. Given mass...

    Text Solution

    |

  14. Whathat will be the acceleration due to gravity on a planet whose mass...

    Text Solution

    |

  15. If the ratio of the masses of two planets is 8 : 3 and the ratio of th...

    Text Solution

    |

  16. A planet has a mass of 2.4xx10^(26) kg with a diameter of 3xx10^(8) m....

    Text Solution

    |

  17. At what height the acceleration due to gravity decreases by 36 % o...

    Text Solution

    |

  18. A planet has twice the mass of earth and of identical size. What will ...

    Text Solution

    |

  19. At what height above the surface of earth acceleration due to gra...

    Text Solution

    |

  20. Find the percentage decrease in the acceleration due to gravity whe...

    Text Solution

    |