Home
Class 12
PHYSICS
If a graph is plotted between T^(2) and ...

If a graph is plotted between `T^(2) and r^(3)` for a planet, then its slope will be be (where `M_(S)` is the mass of the sun)

A

`(4pi^(2))/(GM)`

B

`(GM)/(4pi^(2))`

C

`4piGM`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
a


`T^(2)=(4pi^(2))/(GM)r^(2)`.
`y=mx`
`"Slope(m) "=(4pi^(2))/(GM).`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|458 Videos
  • INTERFERENCE AND DIFFRACTION

    NIKITA PUBLICATION|Exercise MULTPLE CHOICE QUESTIONS|333 Videos

Similar Questions

Explore conceptually related problems

If a graph is plotted for the square of period (T^(2)) and mass attached to a spring, its shape will be

If a graph is plotted between ln k and 1//T for the first order reaction, the slope of the straight line so obtained is given by

If a graph is plotted between log (a-x) and t , the slope of the straight line is equal to -0.03 . The specific reaction rate will be

In Arrehenius equation if a graph is plotted between logK and 1/T, the slope of the curve will be:

For a first order reaction, when a graph is plotted between log^(10)""([A])_(0)/([A])_(t) on y-axis and time (t) on x-axis , slope of the graph of the graph is equal to __________.

For a planet, the graph of T^(2) against r^(3) is plotted. The slope of the graph is

Keller's third law states that the square of period of revolution (T) of a planet around the sun is proportional to the sun is proportional to the third power of average distance , r between the sun and the planet i.e T^2 = Kr^3 Here ,K is constant . If masses of the sun and the planet are M and m respectively , then as per Newton's law of gravitation force of attraction between them is F =(GMm)/r^2 , Where G is gravitational constant . The relation between G and K is described as

NIKITA PUBLICATION-GRAVITATION-Multiple Choice Questions
  1. The value of G was successfully determined for the first time in the l...

    Text Solution

    |

  2. The minimum number of communication satellites necessary for intercont...

    Text Solution

    |

  3. If a graph is plotted between T^(2) and r^(3) for a planet, then its s...

    Text Solution

    |

  4. An object falls through a distance h in certain time on the earth. The...

    Text Solution

    |

  5. Average density of the earth

    Text Solution

    |

  6. The acceleration due to gravity on a planet of mass 10^(25) Kg and rad...

    Text Solution

    |

  7. The identical metal spheres of radius 10 cm are in contact with each o...

    Text Solution

    |

  8. The mass of lift is 500 kg. When it ascends with an acceleration of 2m...

    Text Solution

    |

  9. If the radius of the earth is 6400 km, the height above the surface of...

    Text Solution

    |

  10. The depth from the surface of the earth where acceleration due to grav...

    Text Solution

    |

  11. Mass remaining the same, if radius of the earth is doubled, accelerati...

    Text Solution

    |

  12. The velocity of a setallite in a parking orbit is

    Text Solution

    |

  13. The maximum vertical distance through which a person can jump on the e...

    Text Solution

    |

  14. The earth is a solid sphere of radius 6400 km, the value of accelerati...

    Text Solution

    |

  15. If the earth suddenly shrinks (without changing mass) to half of its p...

    Text Solution

    |

  16. If omega is the angular velocity of rotation of the earth about its ax...

    Text Solution

    |

  17. An artificial satellite is orbiting at a height of 1800 km from the ea...

    Text Solution

    |

  18. A satellite revolving round the earth in a circular orbit with orbital...

    Text Solution

    |

  19. A body weighs W newton at the surface of the earth. Its weight at a he...

    Text Solution

    |

  20. A hole is drilled half - way to the centre of the earth. A body weighs...

    Text Solution

    |