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Thread: 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 $\displaystyle \nu $ of the emitted photon will be $\displaystyle < 3.5\ 10^{14}$ 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...

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

    ... where $\displaystyle E_{c}$ is the collision energy, $\displaystyle \Delta E$ the energy gap between the initial and final state and $\displaystyle \nu$ 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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