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Introduction to SAT II Physics - FreeExamPapers

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Frequency and Wavelength of Emitted Pho<strong>to</strong>ns<br />

As we said earlier, an excited hydrogen a<strong>to</strong>m emits pho<strong>to</strong>ns when the electron jumps <strong>to</strong> a<br />

lower energy state. For instance, a pho<strong>to</strong>n at n = 2 returning <strong>to</strong> the ground state of n = 1<br />

will emit a pho<strong>to</strong>n with energy<br />

. Using Planck’s<br />

formula, which relates energy and frequency, we can determine the frequency of the<br />

emitted pho<strong>to</strong>n:<br />

Knowing the frequency means we can also determine the wavelength:<br />

As it turns out, this pho<strong>to</strong>n is of slightly higher frequency than the spectrum of visible<br />

light: we won’t see it, but it will come across <strong>to</strong> us as ultraviolet radiation. Whenever an<br />

electron in a hydrogen a<strong>to</strong>m returns from an excited energy state <strong>to</strong> its ground state it lets<br />

off an ultraviolet pho<strong>to</strong>n.<br />

EXAMPLE<br />

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