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17 February, 00:52

If we have a one-electron atom, and the electron can occupy any of 5 different energy levels, and transitions are possible between any level and any other, how many lines might appear in that atom's spectrum?

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  1. 17 February, 01:31
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    10

    Explanation:

    Lets say that a, b, c, d, e are the five allowed energy states in order of decreasing energy. Then the number of possible different spectral lines comes from the electron dropping from a high state to a lower state. So, they will do so in following ways:

    a - b

    a - c

    a - d

    a - e

    b - c

    b - d

    b - e

    c - d

    c - e

    d - e

    Ans - Ten different possible energy jumps giving six different colors or lines in the spectrum.
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