Home
Class 12
PHYSICS
Suppose two planets (spherical in shape)...

Suppose two planets (spherical in shape) of radii R and 2R, but mass M and 9 M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M' directly towards the centre of the second planet. The minimum speed 'v' required for the satellite to reach the surface of the second planet is `sqrt((a)/(7) (GM)/(R ))` then the value of 'a' is ________.
[Given : The two planets are fixed in their position]

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION - A) |40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION - B) |20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Physics (Section B )|10 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS|246 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION -B)|10 Videos

Similar Questions

Explore conceptually related problems

Two uniform soild spheres of equal radii R but mass M and 4M have a centre to centre separation 6 R , as shows in Fig. (a) The two spheres are held fixed. A projectile of mass m is projected from the surface of the sphere of mass M directly towards the centre of teh second. Obtain an expression for the minimum speed upsilon of the projectile so that it reaches the surface of second sphere.

A satellite of mass m is placed at a distance r from the centre of earth (mass M ). The mechanical energy of the satellite is

At satellite of mass m is launched from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 3R. K.E. of satellite at the time of launching is

A satellite of mass m is revolving around the earth at a distancer r from the centre of the earth. What is its total energ?

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

Two planets have masses M and 16 M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of mass m is fired trom the surface of the larger planet towards the samller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is :

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-PHYSICS (SECTION-B)
  1. A system consists of two types of gas molecules A and B having same nu...

    Text Solution

    |

  2. A light beam of wavelength 500 nm is incident on a metal having work f...

    Text Solution

    |

  3. A message signal of frequency 20 kHz and peak voltage of 20 volt is us...

    Text Solution

    |

  4. A 16 Omega wire is bend to form a square loop. A 9 V supply having int...

    Text Solution

    |

  5. Two circuits are shown in the figure (a) & (b). At a frequency of rad...

    Text Solution

    |

  6. From the given data, the amount of energy required to break the nucleu...

    Text Solution

    |

  7. A force of F = (5y + 20) hat (j) N N acts on a particle. The workdone ...

    Text Solution

    |

  8. A solid disc of radius 20 cm and mass 10 kg is rotating with an angula...

    Text Solution

    |

  9. In a semiconductor, the number density of intrinsic charge carriers at...

    Text Solution

    |

  10. The nuclear activity of a radioactive element becomes (1/8)^(th) of ...

    Text Solution

    |

  11. Consider an electrical circuit containing a two way switch 'S'. Initi...

    Text Solution

    |

  12. Suppose two planets (spherical in shape) of radii R and 2R, but mass ...

    Text Solution

    |

  13. In Bohr's atomic model, the electron is assumed to revolve in a circul...

    Text Solution

    |

  14. A radioactive sample has an average life of 30 ms and is decaying. A c...

    Text Solution

    |

  15. A particle of mass 9.1 xx 10^(-31) kg travels in a medium with a speed...

    Text Solution

    |

  16. A prism of refractive index n(1) and another prism of refractive index...

    Text Solution

    |

  17. A stone of mass 20 g is projected from a rubber catapult of length 0.1...

    Text Solution

    |

  18. A transistor is connected in common emitter circuit configuration, the...

    Text Solution

    |

  19. The amplitude of upper and lower side bands of A.M. wave where a carri...

    Text Solution

    |

  20. In a uniform magnetic field, the magnetic needle has a magnetic moment...

    Text Solution

    |