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Waves and Particle Nature of Light

Line spectra and atomic energy levels

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  • Papers 2 and 3

Overview

Recall questions on emission and absorption spectra, why every element has its own lines, transitions and photon frequency, and why energy levels are negative.

What you need to know

Answer each one before you reveal it.

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Numbers

How is the frequency of the radiation emitted related to an electron transition between two energy levels?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is an emission line spectrum?

    Model answer

    It is a set of separate bright coloured lines, at particular wavelengths only, seen against an otherwise dark background.

  2. 2

    How are the bright lines of an emission spectrum produced?

    Model answer

    An electron that has been excited to a higher energy level falls to a lower one and emits a photon whose energy equals the difference between the levels, and because the levels are discrete only certain photon energies, and therefore certain wavelengths, are possible.

  3. 3

    What is an absorption spectrum, and how does it arise?

    Model answer

    It is a continuous spectrum crossed by dark lines, produced when a cool gas is placed in the path of white light and its electrons absorb exactly those photons whose energies match a gap between two of its energy levels.

  4. 4

    Why does every element produce its own characteristic set of spectral lines?

    Model answer

    Each element has a unique arrangement of electron energy levels, so the set of possible transition energies, and therefore of emitted wavelengths, is unique to it.

  5. 5

    How do astronomers use line spectra?

    Model answer

    The pattern of dark lines in the light from a star identifies the elements present in its atmosphere, since each element's set of lines acts as a fingerprint.

  6. 6

    Write the relationship between an electron transition and the frequency of the radiation involved:

    Model answer

    The relationship is hf = E₂ − E₁, where E₂ and E₁ are the energies of the higher and lower levels.

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