Home
Class 11
PHYSICS
The figure shows elliptical orbit of a p...

The figure shows elliptical orbit of a planet 'M' about the Sun 'S', the shaded area SCD is twice the shaded area SAB. If `t_(1)` is the time for the planet to move from C and D and `t_(2)` is the time to move from A to B then.

Text Solution

Verified by Experts

According to Kepler.s law
Law of areas
`(DeltaA)/(Deltat) ` = constant
`DeltaA prop Deltat`
`(DeltaA_(SCD))/(DeltaA_(SAB)) = (t_(1))/(t_(2))`
`(2A)/A = (t_(1))/(t_(2))`
` :. " " t_(1) = 2t_(2)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|8 Videos
  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise PART-IV|10 Videos
  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos

Similar Questions

Explore conceptually related problems

Figure shows the elipticla path of a planet about the sun. The two shaded parts have equal area. If t_1 and t_2 be the tim taken by the planet to go from a to b and from c to d respectively

An unknown planet orbits the sun with distance twice the semi major axis distance of the Earth's orbit. It the Earths time period is T_(1) , what is the time period of this period is planet?

A planet orbits the Sun in time T at a distance of R from it. Another planet orbits the Sun in a time of 8T. What is its distance R' from the Sun.

A planet moving along an elliptical orbit is closest to the Sun at distance r_(1) and farthest away at a distance of r_(2) . If v_(1) and v_(2) are linear speeds at these points respectively. Then the ratio (v_1)/(v_2) is

FULL MARKS-GRAVITATION-ADDITIONAL QUESTIONS SOLVED (Numerical Problems)
  1. A geo-stationary satellite is orbiting the Earth of a height of 6R abo...

    Text Solution

    |

  2. The time period of a satellite of Earth is 5 hours. If the separation ...

    Text Solution

    |

  3. The figure shows elliptical orbit of a planet 'M' about the Sun 'S', t...

    Text Solution

    |

  4. A satellite moves in a circle around the Earth, the radius of this cir...

    Text Solution

    |

  5. Two identical solid copper sphere of radius R are placed in contact wi...

    Text Solution

    |

  6. Two satellite A and B of the same mass are revolving around the Earth ...

    Text Solution

    |

  7. An infinite number of bodies, each of mass 2 kg, are situated on at di...

    Text Solution

    |

  8. A body of mass 'm' kg starts falling from a point 2R above the Earth's...

    Text Solution

    |

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

    Text Solution

    |

  10. The mass of a space ship is 1000 kg. It is to be launched from Earth's...

    Text Solution

    |

  11. If the mean radius of the Earth is R, its angular velocity is omega an...

    Text Solution

    |

  12. The escape velocity of a body from Earth's surface isv(e ). What will ...

    Text Solution

    |

  13. If R is the radius of the Earth and g is the acceleration due to gravi...

    Text Solution

    |

  14. If the mass of Earth is 80 times of that of a planet and 'g' diameter ...

    Text Solution

    |

  15. At what distance from the centre of Earth, the value acceleration due ...

    Text Solution

    |

  16. A body weight 700 g on the surface of Earth. How much it weight on the...

    Text Solution

    |

  17. An object weight 72 N the Earth. What its weight at a height R/2 from ...

    Text Solution

    |

  18. A body weight 500 N on the surface of the Earth. How much would it wei...

    Text Solution

    |