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March 30, 2017

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The hydrogen atom consists of a proton with an electron in orbit about the proton. The laws of quantum mechanics determine that the radius of this orbit is 5.29x10^-11 meters. Therefore, calculate
a) The electric potential the electron experiences.
b) The next available orbit has a radius four(4) times that of the orbit described above
c) When an electron goes from the higher energy orbit to lower energy orbit, it releases the change in energy as photon. What is the wavelength of the emitted photon.

  • physics - ,

    a) The electric potential the electron experiences.
    b) The next available orbit has a radius four(4) times that of the orbit described above
    c) When an electron goes from the higher energy orbit to lower energy orbit, it releases the change in energy as photon. What is the wavelength of the emitted photon.

  • physics - ,

    You will have to type your question, if cutting and pasting does not work.

    If they want you to calculate the "velocity" of the electron, set
    m V^2/R = k e^2, and solve for V.

    But be warned that electrons do not really travel in circular orbits around nuclei. Quantum mechanics does not allow such simple models. The lowest Bohr orbit has no angular momentym at all. The electron is most likely to be found at the nucleus

  • physics - ,

    The hydrogen atom consists of a proton with an electron in orbit about the proton. The laws of quantum mechanics determine that the radius of this orbit is 5.29x10^-11 meters. Therefore, calculate
    a)The electric potential the electron experiences.
    b)The next available orbit has a radius four(4) times that of the orbit described above
    c)When an electron goes from the higher energy orbit to lower energy orbit, it releases the change in energy as photon. What is the wavelength of the emitted photon.

  • physics - ,

    a) The electric potential is -ke^2/R, where
    k is the Coulomb constant
    R is the closest orbit

    b) When r = 4R, the electric potential becomes -ke^2/4R^2

    The wavelength emitted when the electron changes orbit is given by
    hc/(wavelength) = E1 - E2

    Both the kinetic and electric potential energy of the electron must be considered when calculating total electron energy, E.

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