Home
Class 11
PHYSICS
Four particles each of mass m are placed...

Four particles each of mass m are placed at the vertices of a square of side l. the potential at the centre of square is

A

`-sqrt(32)(GM)/L`

B

`-sqrt(64)(GM)/(L^(2))`

C

zero

D

`sqrt(32)(GM)/L`

Text Solution

Verified by Experts

The correct Answer is:
A

`V_(O)=-(Gm)/(L//sqrt(2))xx4=-(4sqrt(2)Gm)/L=-(sqrt(32)Gm)/L`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the potential energy of a system of four particles each of mass 2m kept at the vertices of a square of side x. Also find the potential at the centr of the square.

Four point charges are placed at the corners of a square of side l. Calculate potential at the centre of square.

Four charges 10^(-5) , -2times10^(-5) , +3times10^(-5) and 2times10^(-5) coulomb are placed at the four corners of a square of side 1m the potential at the centre of the square is...

Find the gravitational potential energy of a system of four particles, each of mass m placed at the verticles of a square of side l . Also obtain the gravitaitonal potential at centre of the square.

Four particles each of mass m are placed at the corners of a square of side length l . The radius of gyration of the system about an axis perpendicular to the plane of square and passing through its centre is

Four particles, each of mass 1kg are placed at the corners of a square of side 1m in the XY plane. If the point of intersecting of the diagonals of the square is taken as the origin, the co-ordinates fo the centre of mass are

Four particles each of mass m are placed at the corners of a square of side length l . The radius of gyration of the system the moment of inertia of four bodies about an axis passing through any side of frame is

Four particles each of mass m are placed at the corners of a square of side length l . The radius of gyration of the system the moment of inertia of four bodies about an axis passing through opposite corners of frame is

Four particles each of mass m are placed at the corners of a square of side length l . The radius of gyration of the system the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is

Four particles each of mass m are kept at the four vertices of a square of side 'a' . Find graitational potential energy of this system.

CP SINGH-GRAVITATION-EXERCISE
  1. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

    Text Solution

    |

  2. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  3. Four particles each of mass m are placed at the vertices of a square o...

    Text Solution

    |

  4. Infinite number of masses, each of 1 kg, are placed along the x-axis a...

    Text Solution

    |

  5. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  6. The magnitude of the gravitational field at distance r(1) and r(2) fro...

    Text Solution

    |

  7. A spherically symmetric gravitational system of particles has a mass d...

    Text Solution

    |

  8. A planet is moving in an elliptic orbit. If T,V,E and L stand, respect...

    Text Solution

    |

  9. A satellite revolves around the earth in an elliptical orbit. Its spee...

    Text Solution

    |

  10. For a planet moving and the sun in an elliptical orbit, which of the f...

    Text Solution

    |

  11. Which of the following quantities remain constant in a planetary motio...

    Text Solution

    |

  12. Figure shows the motion of a planet around the Sun S in an elliptical ...

    Text Solution

    |

  13. The earth E moves in an elliptical orbit with the sun S at one of the ...

    Text Solution

    |

  14. The largest and the shortest distance of the earth from the sun are r(...

    Text Solution

    |

  15. A plenet moving along an elliptical orbit is closest to the sun at a d...

    Text Solution

    |

  16. If the distance between the earth and the sun were half its present va...

    Text Solution

    |

  17. The mean radius of the earth's orbit of mercury is 6xx10^(10)m. The me...

    Text Solution

    |

  18. The radius of the earthR and acceleration due to gravity at its surfac...

    Text Solution

    |

  19. In the previous problem, the minimum speed with which the body must be...

    Text Solution

    |

  20. If the acceleration due to gravity at the surface of the earth is g, t...

    Text Solution

    |