Home
Class 11
CHEMISTRY
Let us assume a different atomic model i...

Let us assume a different atomic model in which electron revolves around the nucleus (proton) at a separation r under the action of force which is different from electro-static force of attraction. The potential energy between an electron and the proton due to this force is given by `U=-k/(r^(4))` where k is a constant.
Find the radius of n th Bohr's orbit.

A

`(-n^(4)h^(4))/(128pi^(4)m^(2)k)`

B

`(n^(4)h^(4))/(128pi^(4)m^(2)k)`

C

`(n^(4)h^(4))/(256kpi^(4)m^(2))`

D

`(-n^(4)h^(4))/(256pi^(4)m^(2))`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • ATOMIC STRUCTURE

    GRB PUBLICATION|Exercise Match the column type|16 Videos
  • ATOMIC STRUCTURE

    GRB PUBLICATION|Exercise Subjective Type|55 Videos
  • ATOMIC STRUCTURE

    GRB PUBLICATION|Exercise Multiple Objective Type|49 Videos
  • CHEMICAL EQUILIBRIUM

    GRB PUBLICATION|Exercise D.Le Chateliera principle|16 Videos

Similar Questions

Explore conceptually related problems

Suppose the potential energy between electron and proton at a distance r is given by (ke^(2))/(3r^(3)) . Use Bohr's theory to obtain energy of such a hypothetical atom.

Suppose the potential energy between electron and proton at a distance r is given by -(Ke^(2))/(3r^(2) .As per Bohr's quantization rule,the speed of electron in n th orbit of H-atom is

Soppose potential energy between electronand proton at seperation r is given by U = klog r, where k is a constant. For such a hypothetical hydrogen atom , calculate the radins of nth Bohr and its energy level

Assume a hypothetica hydrogen atom in which the potential energy between electron and proton at separation r is given by U = [k in r - (k/2)], where k is a constant. For such a hypothetical hydrogen atom, calcualete the radius of nth Bohr orbit and energy levels.

Suppose the potential energy between electron and proton at a distance r is given buy -k e^(2)//3 r^(3) . Use Bohr's theory, determine energy levels of such a hypothetical atom.

The potential energy of a two particle system separated by a distance r is given by U(r ) =A/r where A is a constant. Find to the radial force F_(r) , that each particle exerts on the other.

Suppose the potential energy between electron and proton at a distance r is given by U= Ke l n(r )/(a) , where r lt a and k, e,a are positive constants. Use Bohr's theory to obtain the energy of nth energy level of such an atom.

A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to-

In a hypothetical atom, potential energy between electron and proton at distance r is given by ((-ke^(2))/(4r^(2))) where k is a constant Suppose Bohr theory of atomic structrures is valid and n is principle quantum number, then total energy E is proportional to

GRB PUBLICATION-ATOMIC STRUCTURE-Comprehesion Type
  1. Let us assume a different atomic model in which electron revolves arou...

    Text Solution

    |

  2. Let us assume a different atomic model in which electron revolves arou...

    Text Solution

    |

  3. Let us assume a different atomic model in which electron revolves arou...

    Text Solution

    |

  4. the only electron in the hydrogen atom resides under ordinary conditio...

    Text Solution

    |

  5. the only electron in the hydrogen atom resides under ordinary conditio...

    Text Solution

    |

  6. the only electron in the hydrogen atom resides under ordinary conditio...

    Text Solution

    |

  7. de Broglie proposed dual nature for electron by putting his famous equ...

    Text Solution

    |

  8. de Broglie proposed dual nature for electron by putting his famous equ...

    Text Solution

    |

  9. Excited atoms emit radiations consisting of only certain discrete freq...

    Text Solution

    |

  10. Excited atoms emit radiations consisting of only certain discrete freq...

    Text Solution

    |

  11. In an atom when an electron jumps from higher energy level to lower en...

    Text Solution

    |

  12. In an atom when an electron jumps from higher energy level to lower en...

    Text Solution

    |

  13. From hydrogen gas discharge tube, light is emitted. Emitted light is u...

    Text Solution

    |

  14. From hydrogen gas discharge tube, light is emitted. Emitted light is u...

    Text Solution

    |

  15. In a H-like species there are two energy levels A and B above the grou...

    Text Solution

    |

  16. In a H-like species there are two energy levels A and B above the grou...

    Text Solution

    |

  17. The following text gives a qualitative idea about Rutherford's alpha- ...

    Text Solution

    |

  18. The following text gives a qualitative idea about Rutherford's alpha- ...

    Text Solution

    |

  19. In three dimension wave function may be expressed in spherical co-ordi...

    Text Solution

    |

  20. In three dimension wave function may be expressed in spherical co-ordi...

    Text Solution

    |