Home
Class 11
PHYSICS
Using orbital radius r and the correspon...

 Using orbital radius r and the corresponding periodic time T of different satellite revolving around a planet, what would be the slope of graph of log `T rarr log r` ?

A

`3/2`

B

`2/3`

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
`implies` If the period of stallite revolves round the planet in orbit of radius r is T ,
`T = kr^(3/2 )` where `k = (4pi2)/(GM)` constant
`:. logT = logk +3/2` logr comparing this equation with y = c + nx slope `m = 3/2`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    KUMAR PRAKASHAN|Exercise Section - F Questions from Module|20 Videos

  • GRAVITATION

    KUMAR PRAKASHAN|Exercise QUESTIONS PAPER Section - A|6 Videos

  • GRAVITATION

    KUMAR PRAKASHAN|Exercise Section - D NCERT Exemplar Solutions (Long Answer Type Question )|5 Videos

  • LAW OF MOTION

    KUMAR PRAKASHAN|Exercise (QUESTION PAPER) SECTION-D|1 Videos

Similar Questions

Explore conceptually related problems

Obtain an equation of orbital time period of satellite revolves around the earth.

What will be velocity of a satellite revolving around the earth at a height h above surface of earth if radius of earth is R :-

The period of revolution of a satellite in an orbit becomes 8 times then what will be its radius of orbit?

What is the effect of decreasing the height of a satellite orbiting around earth on its time period?

The density of a planet is rho The orbital period of a satellite revolving around it with remaining close to its surface is ..........

If the time period of a satellite in the orbit of radius r around a planet is T. Then the time period of a satellite in orbit of radius 4r is T = .....

An artificial satellite is revolving around a planet of mass M and radius R in a circular orbit of radius r. From Kepler's third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show using dimensional analysis that T=(k)/(R) sqrt((r^(3))/(g)) where k is dimensionless RV g constant and g is acceleration due to gravity.

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M , to transfer it forms a circular orbit of radius R_(1) to another of radius R_(2)(R_(2)gtR_(1)) is

KUMAR PRAKASHAN-GRAVITATION-Section - E Multiple Choice Questions (MCQs)
  1. What kind of relation exists between kinetic energy (Ek) and orbital ...

    Text Solution

    |

  2. Geo-stationary satellite is at …... height from surface of Earth.

    Text Solution

    |

  3. Using orbital radius r and the corresponding periodic time T of differ...

    Text Solution

    |

  4. The diamensional formula of gravitational potential is ..........

    Text Solution

    |

  5. Two satellite revolving around a planet in the same orbit have the rat...

    Text Solution

    |

  6. The magnitude of gravitational intensity at a point is 0.7 N/kg. What ...

    Text Solution

    |

  7. The SI unit of g/G is .......

    Text Solution

    |

  8. How much radius of earth at equator is grater than the radius at poles...

    Text Solution

    |

  9. The time period of polalr satellite is almost [April - 2015)

    Text Solution

    |

  10. The radii of two planets are R1 and R2 and their densities are rho1 an...

    Text Solution

    |

  11. Which of the following graph shows the variation in the value of 'g' w...

    Text Solution

    |

  12. The largest and the shortest distance of the earth from the sun are r1...

    Text Solution

    |

  13. A satellite A of mass m is at a distance of r from the surface of the ...

    Text Solution

    |

  14. If the gravitational force between two objects were proportional to 1/...

    Text Solution

    |

  15. The radius of earth is about 6400 km and that of mars is 3200 km. The ...

    Text Solution

    |

  16. The distance of two planets from the sun are 10^(13) m and 10^(12) m...

    Text Solution

    |

  17. The earth (mass = 6 xx 10^(24) kg) revolves around the sun with an an...

    Text Solution

    |

  18. A satellite P is revolving around the earth at a height =h radius of e...

    Text Solution

    |

  19. The acceleration due to gravity on the planet. A is 9 times the accele...

    Text Solution

    |

  20. Two spheres of masses m and M are situated in  air and the gravitation...

    Text Solution

    |