Answered: One of the lines in the emission…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter4: The Particle Nature Of Matter

Section: Chapter Questions

Problem 37P

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When an electron of an excited hydrogen atom descends, from an initial energy level (n_i) to a lower (n_f), characteristic electromagnetic radiation is emitted. The Bohr model of the H-atom allows the calculation of ΔE for any pair of energy levels. ΔE is related to the wavelength (λ) of the radiation according to Einstein's equation ( ΔE = [(hc)/λ]). Distinct series of spectral lines have been classified according to n_f:

Lyman series:n_f=1 (91<λ<123 nm; near-UV).

Balmer series:n_f=2 (365<λ<658 nm; visible).

Paschen series:n_f=3 (819<λ<1877 nm; near-IR).

Brackett series:n_f=4 (1.456<λ<4.054 μm; short-to-mid-λ-IR)

One of the lines in the emission spectrum of the hydrogen atom has a wavelength of λ = 102.6 nm.

Identify the value of n_i_nitial.
Identify the value of n_f_inal .

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