Home
Class 11
PHYSICS
Two having masses M and 2M, respectively...

Two having masses M and 2M, respectively, having the same radius R are placed coaxially as shown in the figure. If the mass distribution on both the rings is non uniform, then the gravitational potential at point P is

A

`(-GM)/R[1/(sqrt(2))+2/(sqrt(4))]`

B

`(-GM)/R[1+2/2]`

C

zero

D

cannot be determined from the given information

Text Solution

Verified by Experts

The correct Answer is:
A
`v=(-GM)/R-(Gxx2M)/(sqrt(5)R)=(-GM)/R[1/(sqrt(2))+2/(sqrt(5))]`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NARAYNA|Exercise EXERCISE -III|42 Videos

  • FRICTION

    NARAYNA|Exercise Passage type of questions I|6 Videos

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-III(C.W)|52 Videos

Similar Questions

Explore conceptually related problems

Two rings having masses M and 2M respectively, having the same radius are placed coaxially as shown in the figure. If the mass distribution on both the rings is non-uniform, then the gravitational potential at point P is

Two blocks each having a mass M are placed as shown in the figure. The accleration of the system is:-

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

Two circular disc having radius R and mass density sigma and 2sigma respectively are placed as shown in figure. Then find out the position of COM of the system.

Find the potential V at P in the gravitational field of fixed point mass M .

Three rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY¢ will be

Four rings each of mass M and radius R are arranged as shown in the figure. The moment of inertia of the system about YY' will be

Figure show a hemispherical shell having uniform mass density The direction of gravitational field at point P will be along .

From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed, as shown in the figure Taking gravitational potential V =0at r = oo, the potential at (G = gravitational constatn)

NARAYNA-GRAVITATION-EXERCISE -IV
  1. A solid sphere of uniform density and mas M has radius 4M. Its centre ...

    Text Solution

    |

  2. A point P lies on the axis of a fixed ring of mass M and radius R, at ...

    Text Solution

    |

  3. Two having masses M and 2M, respectively, having the same radius R are...

    Text Solution

    |

  4. A point of mass m is released from rest at a distance of 3R from the c...

    Text Solution

    |

  5. A small body of superdense material, whose mass is twice the mass of t...

    Text Solution

    |

  6. From a solid sphere of mass m and radius R, a spherical portion of rai...

    Text Solution

    |

  7. The density of the core of a planet is rho(1) and that of the outer sh...

    Text Solution

    |

  8. Two concnetric shells of different masses m(1) and m(2) are having a ...

    Text Solution

    |

  9. Suppose a vertical tunnel is dug along the diameter of earth assumed t...

    Text Solution

    |

  10. The centres of a ring of mass m and a sphere of mass M of equal radius...

    Text Solution

    |

  11. A mass m extends a vertical helical spring of spring constant k by xm ...

    Text Solution

    |

  12. A spherical shell is cut into two pieces along a chord as shown in the...

    Text Solution

    |

  13. The magnitudes of the gravitational field at distance r(1) and r(2) fr...

    Text Solution

    |

  14. Gravitational field intensity at the centre of the semi circle formed ...

    Text Solution

    |

  15. Two equal masses each m are hung from a balance whose scale pans diffe...

    Text Solution

    |

  16. Find the gravitational potential energy of a system of four particles,...

    Text Solution

    |

  17. A thin uniform annula disc (see figure) of mass M has outer radius 4R ...

    Text Solution

    |

  18. The gravitational force in a region is given by, vec(F)=mayhati+maxhat...

    Text Solution

    |

  19. The gravitational field in a region due to a certain mass distribution...

    Text Solution

    |

  20. A particle of mass 1kg is placed at a distance of 4m from the centre a...

    Text Solution

    |