Home
Class 12
PHYSICS
A spherical planet has uniform density p...

A spherical planet has uniform density `pi/2xx10^(4)kg//m^(3)`. Find out the minimum period for a satellite in a circular orbit around it in seconds (Use `G=20/3xx10^(-11) (N-m^(2))/(kg^(2))`).

Text Solution

Verified by Experts

The correct Answer is:
`3000sec`
`T=(2piR)/V=2pi sqrt(R^(3))/(GM)=sqrt(3pi)/(GP)=3xx10^(3) sec=3000sec`
Promotional Banner

Topper's Solved these Questions

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Additional topic|70 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Multiple objective|131 Videos

  • FLUID MECHANICS

    BANSAL|Exercise PYQS AIEEE|10 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

A satellite revolves around a planet of mean density 4.38 xx 10^(3)kg//m^(3) , in an orbit close to its surface. Calculate the time period of the satellite. Take, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) .

A rod of 1.5m length and uniform density 10^(4)kg//m^(3) is rotating at an angular velocity 400 rad//sec about its one end in a horizontal plane. Find out elongation in rod. Given y=2xx10^(11)N//m^(2)

A satellite revolves in an orbit close to the surface of a planet of mean density 5.51 xx 10^(3) kg m^(-3) . Calculate the time period of satellite. Given G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) .

Two metal spheres are falling through a liquid of density 2xx10^(3)kg//m^(3) with the same uniform speed. The material density of sphere 1 and sphere 2 are 8xx10^(3)kg//m^(3) and 11xx10^(3)kg//m^(3) respectively. The ratio of their radii is :-

A uniform solid sphere has radius 0.2 m and density 8xx10^(3)kg//m^(2) . Fing the moment of inertia about the tangent to its surface. (pi=3.142)

The mass of planet Jupiter is 1.9xx10^(7)kg and that of the Sun is 1.9x10^(30)kg . The mean distance of Jupiter from the Sun is 7.8xx10^(11) m. Calculate te gravitational force which Sun exerts on Jupiter. Assuming that Jupiter moves in circular orbit around the Sun, also calculate the speed of Jupiter G=6.67xx10^(-11)Nm^(2)kg^(-2) .

Given Y = 2 xx 10^(11)N//m^(2), rho = 10^(4) kg//m^(3) Find out elongation in rod.

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0xx10^(3) km. Find the mass of Mars. {"Given "(4pi^(2))/(G)=6xx10^(11)N^(-1)m^(-2)kg^(2)}

A 1500 kg satellite orbits a planet in a circular orbit of radius 6.2 xx 10^(6) m. What is the angular momentum of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 xx 10^(4) s?

BANSAL-MASTER PRACTICE PROBLEM-Subjective
  1. A uniform stick of mass m and length l with I=1/12 ml^(2) spins around...

    Text Solution

    |

  2. Two equal masses are situated at a separation r(0) One of them is imp...

    Text Solution

    |

  3. A spherical planet has uniform density pi/2xx10^(4)kg//m^(3). Find out...

    Text Solution

    |

  4. Two particles of mass 'm' and 3 m are initially at rest an infinite di...

    Text Solution

    |

  5. Two objects of equal volume V=1 m^(3) and different densities d(1) =50...

    Text Solution

    |

  6. The figure shows a pond full of water having the shape of a truncated ...

    Text Solution

    |

  7. A block of wood weights 16 kg in air. A lead block which has apparent ...

    Text Solution

    |

  8. Water (density 1 gm//c) is to be sucked upto point A. The area of the ...

    Text Solution

    |

  9. A block of wood is floating in water such that 1//2 of it is submerge...

    Text Solution

    |

  10. A hole in the horizontal bottom of the container is closed by a hemisp...

    Text Solution

    |

  11. Two solid balls have different radii but are made of same material. Th...

    Text Solution

    |

  12. A U-tube having uniform cross-section but unequal arm length I(1)=100 ...

    Text Solution

    |

  13. A point source of sound is located somewhere along the x-axis. Experim...

    Text Solution

    |

  14. In the given figure a string of linear mass density 3xx10^(-2) kg//m a...

    Text Solution

    |

  15. In a resonance column apparatus, first resonance is obtained when the ...

    Text Solution

    |

  16. Shin Chan and his mother have a tin whistle each. The pipe length of S...

    Text Solution

    |

  17. If the kinetic energy of pulse travelling in a taut string is Kxx10^(-...

    Text Solution

    |

  18. Two cylinders of equal masses, one made of material A and the other of...

    Text Solution

    |

  19. In two calorimeters we poured 200 g of water each- at temperatures of ...

    Text Solution

    |

  20. A composite rod is made from stainless steel and iron and has a length...

    Text Solution

    |