Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 38P
To determine

The wavelengths for the Lα lines Moseley predicted for the missing  Z= 43, 61, and 75 elements.

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Identify the initial and final states if an electron in hydrogen emits a photon with a wavelength of 656 nm. Enter your answers numerically separated by a comma.
Consider the Balmer series discussed in the book (and Prof. Scherer's lecture notes), where the frequencies are given by: x (3.29 × 1015 s-1) n = 3,4,5, .. v = Let us focus only on the spectral lines and transitions corresponding to the Balmer series. a) Suppose the Balmer series of hydrogen is studied using a Franck-Hertz experiment. What is the threshold voltage required for n=3? How about n=4? b) The Lyman Series frequencies are given by v = |1- x (3.29 x 1015 s-1). Describe what is different about these two series of emission frequencies of photons from the hydrogen atom? That is, what distinguishes one series from the other? (Hint: it may help to think about the Bohr model interpretation of transitions.)
Derive the rn, vn and En the quantized parameters for a hydrogen-like atom with a number of protons that you will keep in your derivation of the answers as Z. Note:1) An example of the situation would for instance He+ with one single electron left to orbit the nucleus of Helium or Li++ with one single electron left to orbit the nucleus of Lithium.
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