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Larger transitions like n=5 to n=3 yield lower wavelength with higher energy and smaller transitions like n=4 to n=3 yield the highest wavelength with the lowest energy. The reason for this is because bigger transitions give off more energy, so when an electron transitions to n=5 to n=3, it'd emit more energy than n=4 to n=3. Another example would be the ultraviolet Lyman Series, n=1; they have much lower wavelengths with very large transitions, giving off higher energies.
going from n=5 to n=3, the electron is moving 2 energy levels. whereas moving from m=4 to n=3, the electron is only moving one energy level. also remember, as an electron is going down energy levels, light is emitted. so it only makes sense that more energy in light form is emitted when moving from n=5 to n=3 (2 energy levels) than n=4 to n=3 (1 energy level). hope this helps :)
204929947 wrote:I believe that moving from n=5 to n=3 takes up more energy which makes the wavelength smaller, less frequency
When electrons are dropping from higher energy levels to lower energy levels, energy is RELEASED as a photon, not taken up. Since the drop from n=5 to n=3 is larger than the drop from n=4 to n=3, the light emitted from the former would have shorter wavelength and HIGHER frequency than the latter.
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