Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 36, Problem 26P

(a)

To determine

The photon energy and wavelength for the series limit in Brackett series.

(b)

To determine

The three longest wavelengths is Brackett series.

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a) Consider that the first line of the Balmer series of the 1H spectrum is due to the transitions between the states described by the 3p and 2s orbitals. This line suffers unfolding when the system is subject to an intense magnetic fieldexternal. Calculate the wave numbers (in cm-1 ) of the lines observed when a10,0000T magnetic field is applied. (hint: pay attention to the numberssignificant and approximations made in the calculation steps)
The Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the L shell (n = 2).this line (for a molybdenum target)occurring at a single wavelength. With higher resolution, however,the line splits into several wavelength components becausethe L shell does not have a unique energy. (a) How many componentsdoes the Ka line have? (b) Similarly, how many componentsdoes the Kb line have?
where ?∞ = 1.097 × 10^7 m−1is the Rydberg constant and ? is the atomic number (thenumber of protons found in the nucleus). Calculate the ground state energy of a triplyionised beryllium atom, Be3+ (a beryllium atom with three electrons removed).
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