Home
Class 11
PHYSICS
The mean orbital radius of the Earth aro...

The mean orbital radius of the Earth around the Sun is `1.5 xx 10^8 km`. Estimate the mass of the Sun.

Text Solution

Verified by Experts

`M_(s) = (4pi^(2)r^(3))/(G T^(2))`
`M_(s) = (4pi^(2) xx (1.5 xx 10^(11))^(3))/(6.7 xx 10^(-11) xx (365 xx 24 xx 3,600)^(2))`
`= 2.0 xx 10^(30) kg`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    MODERN PUBLICATION|Exercise NCERT FILE (Additional Exercises)|4 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise NCERT FILE (Exemplar Problems (Objective Questions) (Multiple Choice questions) )|33 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Tough & Tricky Problems|10 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (10)|12 Videos

Similar Questions

Explore conceptually related problems

How will you weight the sun, i.e. estimate its mass ? You will need to know the period of one of its planets and the radius of the planetary orbit. The mean orbit radius of the earth around the sun is 1.5 xx 10^(8)km , then the mass of the sun would be calculated as

The mean radius of the earth's orbit around the sun is 1.5 xx 10^(11)m and that of the orbit of mercury is 6 xx 10^(10)m . The mercury will revolve around the sun is nearly

In the solar system, the Sun is in the focus of the system for Sun-earth binding system. Then the binding energy for the system will be [given that radius of the earth's orbit round the Sun is 1.5 xx 10^(11) m and mass of the earth = 6 xx 10^(24) kg ]

The mean radius of the earth's orbit round the sun is 1.5xx10^(11) . The mean radius of the orbit of mercury round the sun is 6xx10^(10)m . The mercury will rotate around the sun in

The solar energy received by the Earth persquare metre per minute is 8.315 xx 10^(4)Jm^(-2)min^(-1) . If the radius of the Sun is 7.5 xx 10^(5) km and the distance of the Earth from the Sun is 1.5 xx10^(8) km, calculate the surface temperature of Sun. Assume the Sun as a perfect black body. Given that Stefen constanta sigma = 5.7 xx 10^(-8)Wm^(-2)K^(-4).

Calculate the mass of the sun if the mean orbital radius of Jupiter around the sun is 7.8 xx 10^(11) m . Take G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) Time period of revolution = 12 years according to earth

The radius of the earth's orbit around the sun is 1.5 xx 10^(11)m . Calculate the angular and linear velocity of the earth. Through how much angle does the earth revolve in 2 days?

Iluminance of 2.4 xx 10^(5)lm//m^(2) of the surface is produced by sunlight falling normally on the surface of the earth. The distance of the earth the sun is 1.5 xx 10^(8)km . Calculate the luminous intensity and luminous flux of the sun.

The time taken by the earth to complete one revolution around the sun is 3.156 xx 10^(7) s . The distance between the earth and the sun is 1.5 xx 10^(11) m. Find the speed of revolution of the earth.

MODERN PUBLICATION-GRAVITATION-NCERT FILE (TEXTBOOK EXERCISES)
  1. Choose the correct alternative (a)Acceleration due to gravity increa...

    Text Solution

    |

  2. Suppose there existed a planet that went around the sun twice as fast ...

    Text Solution

    |

  3. One of the satellite of jupiter, has an orbital period of 1.769 days a...

    Text Solution

    |

  4. Let us consider that our galaxy consists of 2.5xx10^(11) stars each of...

    Text Solution

    |

  5. Choose the correct alternative : (a) If the zero of the potential en...

    Text Solution

    |

  6. Does the escape speed of a body from the earth depend on (a) the mass ...

    Text Solution

    |

  7. A comet orbits the Sun in a highly elliptical orbit. Does the comet ha...

    Text Solution

    |

  8. Which of the following symptoms is likely to afflict an astronaut in s...

    Text Solution

    |

  9. The gravitational intensity at the centre of the drum head defined by ...

    Text Solution

    |

  10. For the above problem, the direction of the gravitational intensity at...

    Text Solution

    |

  11. A rocket is fired from the earth towards the sun. At what distance fro...

    Text Solution

    |

  12. The mean orbital radius of the Earth around the Sun is 1.5 xx 10^8 km....

    Text Solution

    |

  13. A saturn year is 29.5 times the earth year. How far is the saturn from...

    Text Solution

    |

  14. A body weighs 63 N on the surface of the earth. What is the gravitatio...

    Text Solution

    |

  15. Assuming the earth to be a sphere of uniform mass density, how much wo...

    Text Solution

    |

  16. A rocket is fired vertically with a speed of 5 kms^(-1) from the earth...

    Text Solution

    |

  17. The escape speed of a projectile on the earth's surface is 11.2 km s^(...

    Text Solution

    |

  18. A satellite orbits the earth at a height of 400 km, above the surface....

    Text Solution

    |

  19. Two starts each of one solar mass (=2xx10^(30)kg) are approaching each...

    Text Solution

    |

  20. Two heavy sphere each of mass 100 kg and radius 0.10 m are placed 1.0 ...

    Text Solution

    |