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Exercise:
The Balmer series is a set of spectral lines of the hydrogen atom. In Swiss mathematician Johann Balmer found a formula to calculate their wavelengths. In the context of the quantum mechanical description of the hydrogen atom the Balmer series corresponds to photons emitted in transitions from higher energy levels to the second energy level. vspacemm Calculate the wavelengths of the first four spectral lines of the Balmer series.

Solution:
The energy levels of the hydrogen atom are E_n fracE_n^ with E_EgrO. The energy of a photon transitioning from level n to the second energy level is E_gamma frachclambda E_n-E_ E_leftfracn^-fracright It follows for the wavelength for n lambda laF frachcEgrleftfracn^-fracright^- resultlaP- For n we find the wavelengths labP- lacP- and ladP- respectively. The first line outside the visible range is for n laeP- ultraviolet.
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Exercise:
The Balmer series is a set of spectral lines of the hydrogen atom. In Swiss mathematician Johann Balmer found a formula to calculate their wavelengths. In the context of the quantum mechanical description of the hydrogen atom the Balmer series corresponds to photons emitted in transitions from higher energy levels to the second energy level. vspacemm Calculate the wavelengths of the first four spectral lines of the Balmer series.

Solution:
The energy levels of the hydrogen atom are E_n fracE_n^ with E_EgrO. The energy of a photon transitioning from level n to the second energy level is E_gamma frachclambda E_n-E_ E_leftfracn^-fracright It follows for the wavelength for n lambda laF frachcEgrleftfracn^-fracright^- resultlaP- For n we find the wavelengths labP- lacP- and ladP- respectively. The first line outside the visible range is for n laeP- ultraviolet.
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Branches
quantum physics
Tags
energy level, hydrogen, photon, wavelength
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(2, default)
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Language
ENG (English)
Type
Calculative / Quantity
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