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Math Help - Possible frequencies of an electron

  1. #1
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    Possible frequencies of an electron

    Hi
    Could someone kindly clarify the following?
    1. The problem statement, all variables and given/known data
    In its ground state the atom absorbs 2.3 10–19J of energy from a collision with an electron.
    (i) Calculate all the possible frequencies of radiation that the atom may subsequently emit.

    2. Relevant equations
    E=hf

    3. The attempt at a solution
    Using h as the planck constant and E being given , I obtained a frequency of 3.5 x 10^14 Hz.
    But how do I determine the possible frequencies?
    Highly appreciate any suggestions.
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  2. #2
    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by gbenguse78 View Post
    Hi
    Could someone kindly clarify the following?
    1. The problem statement, all variables and given/known data
    In its ground state the atom absorbs 2.3 10–19J of energy from a collision with an electron.
    (i) Calculate all the possible frequencies of radiation that the atom may subsequently emit.

    2. Relevant equations
    E=hf

    3. The attempt at a solution
    Using h as the planck constant and E being given , I obtained a frequency of 3.5 x 10^14 Hz.
    But how do I determine the possible frequencies?
    Highly appreciate any suggestions.
    The energy of the emitted photon cannot exceed the collision energy, so that the frequency \nu of the emitted photon will be < 3.5\ 10^{14} Hz...



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  3. #3
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    So will any frequencies less than 3.5 suffice? The answers were 0.3 and 3.2.
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  4. #4
    MHF Contributor chisigma's Avatar
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    After the collision the electron will jump from a quantum state to another quantum state with greater energy, so that the energy badged requires that...

    \displaystyle E_{c} = \Delta E + h\ \nu (1)

    ... where E_{c} is the collision energy, \Delta E the energy gap between the initial and final state and \nu the frequency of the emmitted photon. In order to answer Your question one has to know the possible quantum state of the electron...



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