Home
Class 11
PHYSICS
Infinite number of bodies, each of mass ...

Infinite number of bodies, each of mass 2kg are situated on X-axis at distance `1m,2m,4m,8m,` respectively from the origin, What is the resulting gravitational potential due to this system at the origin ?

Text Solution

AI Generated Solution

To find the resulting gravitational potential at the origin due to an infinite number of bodies, each with a mass of 2 kg located at distances of 1 m, 2 m, 4 m, 8 m, and so on along the X-axis, we can follow these steps: ### Step 1: Understand the formula for gravitational potential The gravitational potential \( V \) at a point due to a mass \( m \) at a distance \( r \) is given by the formula: \[ V = -\frac{Gm}{r} \] where \( G \) is the gravitational constant. ...
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Solved Examples|16 Videos
  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|8 Videos
  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos
  • KINEMATICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

Infinite number of bodies, each of mass 2kg , are situated on x -axis at distance 1m,2m,4m,8m......... respectively, from the origin. The resulting gravitational potential due to this system at the origin will be

Infinite number of bodies, each of mass 2kg , are situated on x -axis at distance 1m,2m,4m,8m......... respectively, from the origin. The resulting gravitational potential the to this system at the origing will be

An infinite number of particles each of mass m are placed on the positive X-axis of 1m, 2m, 4m, 8m,... from the origin. Find the magnitude of the resultant gravitational force on mass m kept at the origin.

Infinite number of masses, each of mass 3 kg are placed along the y-axis at y = 1 m, 3 m, 9 m 27 m ... The magnitude of resultant gravitational potential in terms of gravitatinal constant at the origin (y = 0) is

Infinite number of masses, each of 1 kg , are placed along the x-axis at x = +- 1m, +- 2m, +-4m, +- 8m, +- 16m .. The gravitational of the resultant gravitational potential in term of gravitaitonal constant G at the origin (x = 0) is

An infinite number of charges each q are placed in the x-axis at distances of 1, 2, 4, 8, ………meter from the origin. If the charges are alternately positive and negative find the intensity of electric field at origin.

Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m , ... from a point P . The gravitational field intensity at P due to these masses is

Consider an infinite distribution of point masses (each of mass m) placed on x-axis as shown in the diagram. What is the gravitational force acting on the point mass placed at the origin ?

Two bodies of masses m and M are placed at distance d apart. The gravitational potential (V) at the position where the gravitational field due to them is zero V is

Two spheres each of mass 104 kg are separated by a distance of 100 m. What will be the gravitationel potential energy of the system?

DC PANDEY ENGLISH-GRAVITATION-(C) Chapter Exercises
  1. Infinite number of bodies, each of mass 2kg are situated on X-axis at ...

    Text Solution

    |

  2. Starting from the centre of the earth having radius R, the variation o...

    Text Solution

    |

  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

    Text Solution

    |

  4. At what height from the surface of earth the gravitation potential and...

    Text Solution

    |

  5. The ratio of escape velocity at earth (V(e)) to the escape velocity at...

    Text Solution

    |

  6. Kepler's third law states that square of period of revolution (T) of a...

    Text Solution

    |

  7. The reading of a spring balance corresponds to 100 N while situated at...

    Text Solution

    |

  8. The gravitational field due to an uniform solid sphere of mass M and r...

    Text Solution

    |

  9. What would be the value of acceleration due to gravity at a point 5 km...

    Text Solution

    |

  10. Two particles of equal mass m go round a circle of radius R under the ...

    Text Solution

    |

  11. What would be the escape velocity from the moon, it the mass of the mo...

    Text Solution

    |

  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

    Text Solution

    |

  13. Orbital velocity of an artificial satellite does not depend upon

    Text Solution

    |

  14. Gravitational potential energy of body of mass m at a height of h abov...

    Text Solution

    |

  15. According to Kepler's law of planetary motion, if T represents time pe...

    Text Solution

    |

  16. If mass of a body is M on the earth surface, then the mass of the same...

    Text Solution

    |

  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

    Text Solution

    |

  18. The force of gravitation is

    Text Solution

    |

  19. Dependence of intensity of gravitational field (E) of earth with dista...

    Text Solution

    |

  20. Keeping the mass of the earth as constant, if its radius is reduced to...

    Text Solution

    |

  21. A body of mass m is raised to a height 10 R from the surface of the ea...

    Text Solution

    |