28_InstSolManual_PDF_Part5

# 28_InstSolManual_PDF_Part5 - Photons Electrons and Atoms...

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28.19. Set Up: The wavelengths of the light for each line in one of the series is given by where for the Balmer series, for the Lyman series and for the Brackett series. The visible spectrum extends from about 400 nm to 700 nm. Solve: (a) Balmer series The longest wavelength is for so The shortest wavelength is for so Lyman series The longest wavelength is for so The shortest wavelength is for so Brackett series The longest wavelength is for so The shortest wavelength is for so (b) The Balmer series is mostly in the visible. The Lyman series is in the ultraviolet and the Brackett series is in the infrared. Reflect: From Problem 28.18, the wavelength range for the Paschen series is 820 nm to 1875 nm. The Lyman, Balmer and Paschen spectral series do not overlap in wavelength; the longest wavelength for one is shorter than the shortest wavelength of the next. But, the Paschen series partially overlaps the Brackett series. 28.20. Set Up: The ionization threshold is at The energy of an absorbed photon equals the energy gained by the atom and the energy of an emitted photon equals the energy lost by the atom.
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