Home
Class 12
PHYSICS
An electron is trapped in a one-dimensio...

An electron is trapped in a one-dimensional infinite well of width 200 pm and is in its ground state. What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a single photon absorption?

Text Solution

Verified by Experts

(a) `4.37xx10^(-8)m`, (b) `1.65xx10^(-8)m`, (c) `8.77xx10^(-9)m`
Promotional Banner

Topper's Solved these Questions

  • HYDROGEN ATOM

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Single Correct Choice Type)|51 Videos
  • HYDROGEN ATOM

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|15 Videos
  • HYDROGEN ATOM

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|6 Videos
  • HEAT-MEASUREMENT AND TRANSFER

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS( INTEGER TYPE)|5 Videos
  • INTERFERENCE AND DIFFRACTION

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|6 Videos

Similar Questions

Explore conceptually related problems

A proton is confined to a one-dimensional infinite potential well 120 pm wide. What is its ground-state energy?

The energy liberated when an excited electron returns to its ground state can have:

The longest wavelength that the singly ionized helium atom in its ground state will obsorb is

The first ionization energy of Na is 495.9 kJ mol^(-1) . What is the longest wavelength of light that could remove an electron from a Na-atom?

An electron is confined to a one - dimensional, infinitely deep potential energy well of width L = 100 pm. (a) What is the smallest amount of energy the electron can have? (A trapped electron cannot have zero energy.)

A hydrogen atom in an excited state emits a photon which has the longest wavelength of the Paschen series. Further emissions from the atom cannot inculde the

Once the electron has been exicted to the second excited state, what wavelengths of light can it emit by de - excitation?

For a single ionised helium atom, the longest wavelength in ground state will absorb

RESNICK AND HALLIDAY-HYDROGEN ATOM-PROBLEMS
  1. What are the (a) wavelength range and (b) frequency range of the Lyman...

    Text Solution

    |

  2. An electron is trapped in a one-dimensional infinite potential well. F...

    Text Solution

    |

  3. Suppose that a hydrogen atom in the ground state absorbs photons of wa...

    Text Solution

    |

  4. A proton is confined to a one-dimensional infinite potential well 120 ...

    Text Solution

    |

  5. An electron is trapped in a one-dimensional infinite potential well. F...

    Text Solution

    |

  6. For what value of the principal quantum number n would the effective r...

    Text Solution

    |

  7. A hydrogen atom is excited from its ground state to the state with n =...

    Text Solution

    |

  8. An electron is trapped in a one-dimensional infinite potential well th...

    Text Solution

    |

  9. An electron in a one-dimensional infinite potential well of length L h...

    Text Solution

    |

  10. Consider an atomic nucleus to be equivalent to a one- dimensional infi...

    Text Solution

    |

  11. (a) What is the energy E of the hydrogen-atom electron whose probabili...

    Text Solution

    |

  12. What is the ground-state energy of (a) an electron and (b) a proton if...

    Text Solution

    |

  13. What must be the width of a one-dimensional infinite potential well if...

    Text Solution

    |

  14. An electron is trapped in a one-dimensional infinite well of width 200...

    Text Solution

    |

  15. Hydrogen atoms are in an excited state with n = 5. In terms of the Boh...

    Text Solution

    |

  16. Calculate the smallest kinetic energy which an electron may have and s...

    Text Solution

    |

  17. Using the Bohr model, (a) calculate the speed of the electrons in a hy...

    Text Solution

    |

  18. Average lifetime of a hydrogen atom excited to n = 2 state is 10^(-8)s...

    Text Solution

    |

  19. The energy needed to detach the electron of a hydrogen like ion in gro...

    Text Solution

    |

  20. A beam of electrons bombards a sample of hydrogen. Through what potent...

    Text Solution

    |