Home
Class 12
PHYSICS
In the ground state of the hydrogen atom...

In the ground state of the hydrogen atom, the electron has a total energy of -13.6 eV. What are (a) its kinetic energy and (b) its potential energy if the electron is one Bohr radius from the central nucleus?

Text Solution

AI Generated Solution

To solve the problem, we need to find the kinetic energy (KE) and potential energy (PE) of the electron in the ground state of the hydrogen atom, given that the total energy (E) is -13.6 eV. ### Step-by-Step Solution: 1. **Understanding Total Energy**: The total energy (E) of the electron in the ground state of the hydrogen atom is given as: \[ E = -13.6 \, \text{eV} ...
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

The ground state energy of hydrogen atom is -13.6 eV. What are the kinetic and potential energies of the electron in this state ?

Calculate the kinetic energy and potential energy of electron in hydrogen atom in its ground state.

An electron , in a hydrogen-like atom, is in excited state. It has a total energy of -3.4 eV. Calculate (a) the kinetic energy and (b) the de Broglie wavelength of the electron.

The ratio of kinetic energy to the total energy of an electron in a Bohr orbit of the hydrogen atom, is

The energy of the electron in the ground state of hydrogen atom is -13.6 eV . Find the kinetic energy and potential energy of electron in this state.

The total energy of an electron in the second excited state of the hydrogen atom is about -1.5 eV. The kinetic energy and potential energy of the electron in this state are:

A ground state hydrogen atom has an energy of -13.6 eV. If the electron is excited to the energy state n=3 , its energy ebcomes

RESNICK AND HALLIDAY-HYDROGEN ATOM-PROBLEMS
  1. An atom (not a hydrogen atom) absorbs a photon whose associated freque...

    Text Solution

    |

  2. What is the probability that an electron in the ground state of the hy...

    Text Solution

    |

  3. In the ground state of the hydrogen atom, the electron has a total ene...

    Text Solution

    |

  4. A hydrogen atom, initially at rest in the n = 3 quantum state, undergo...

    Text Solution

    |

  5. How much work must be done to pull apart the electron and the proton t...

    Text Solution

    |

  6. An electron is in a certain energy state in a one- dimensional, infini...

    Text Solution

    |

  7. Monochromatic radiation of wavelength lambda is incident on a hydrogen...

    Text Solution

    |

  8. How much energy is required to cause an electron of hydrogen to move f...

    Text Solution

    |

  9. A particle is confined to the one-dimensional infinite potential well ...

    Text Solution

    |

  10. For the hydrogen atom in its ground state, calculate (a) the probabili...

    Text Solution

    |

  11. Light of wavelength 102.6 nm is emitted by a hydrogen atom. What are t...

    Text Solution

    |

  12. What are the (a) energy. (b) magnitude of the momentum, and (c) wavele...

    Text Solution

    |

  13. What are the (a) wavelength range and (b) frequency range of the Lyman...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |