Home
Class 12
PHYSICS
Assume a hypothetical hydrogen atom in w...

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

Promotional Banner

Topper's Solved these Questions

  • ATOMIC PHYSICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise 1.1|1 Videos
  • ATOMIC PHYSICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Practice Exercise|18 Videos
  • CAPACITANCE

    PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMERICAL PROBLEMS|40 Videos

Similar Questions

Explore conceptually related problems

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.

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

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 an electron and aproton at a distance r is given by -Ke^(2)// 3 r^(3) . Use Bohr's theory to obtain energy level of such a hypothetical atom.

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.

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.

The potential energy of an electron in the fifth orbit of hydrogen atom is

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

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.

PHYSICS GALAXY - ASHISH ARORA-ATOMIC PHYSICS-Unsolved Numerical Problems
  1. Assume a hypothetical hydrogen atom in which the potential energy betw...

    Text Solution

    |

  2. A positive ion having just one electron ejected it if a photon of wave...

    Text Solution

    |

  3. What hydrogen-like ion has the wavelength difference between the first...

    Text Solution

    |

  4. A beam of ultraviolet radius hacking wavelength between 100nm and 200n...

    Text Solution

    |

  5. A hydrogen atom in state n = 6 makes two successive transition and rea...

    Text Solution

    |

  6. Demonstrate that the frequency omega of a photon emerging when an elec...

    Text Solution

    |

  7. Find the quantum number n corresponding to the excited state of He^(+)...

    Text Solution

    |

  8. (a) Find the maximum wavelength lambda(0) of light which can ionize a ...

    Text Solution

    |

  9. A hydrogen atom in ground state absorbs a photon of ultraviolet radiat...

    Text Solution

    |

  10. Suppose in certine condition only those transition are allowed to hydr...

    Text Solution

    |

  11. A particle of mass m moves along a circular orbit in centrosymmetrical...

    Text Solution

    |

  12. A double ionised lithium atom is hydrogen like with atomic number 3 ...

    Text Solution

    |

  13. A parallel beam, of light of wavelength 100 nm passed through a sample...

    Text Solution

    |

  14. A hydrogen like atom with atomic number Z is in an excited state of q...

    Text Solution

    |

  15. A stationary helium ion emits a photon corresponding to the first line...

    Text Solution

    |

  16. The evrage kinetic energy of molecules in a gas at temperature T is 1....

    Text Solution

    |

  17. A well collimated parallel pencil of cathode rays falls through a pote...

    Text Solution

    |

  18. A hydrogen atom in a having a binding of 0.85eVmakes transition to a s...

    Text Solution

    |

  19. A hypothetcal, hydrogen like atom consists of a nucleus of mass m(1) a...

    Text Solution

    |

  20. Whenever a photon is emitted by hydrogen in balmer series it is follow...

    Text Solution

    |

  21. A particular hydrogen like atom with radiation of frequency 2.467 xx 1...

    Text Solution

    |