Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 7, Problem 29E

(a)

To determine

Initial and final energy levels for third line in Paschen series

(b)

To determine

The wavelength of the line

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Ex. 3: Find the longest wavelength in Paschen series (Given R=1.097 x 107 m-¹)
Some of the most powerful lasers are based on the energy levels of neodymium in solids, such as glass, as shown in Figure below. (a) What average wavelength light can pump the neodymium into the levels above its metastable state? .(b) Verify that the 1.17 eV transition produces 1.06 micrometre radiation.
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.)

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