3-HW Solutions

# 3-HW Solutions - Homework #3: Atomic Model Phys320 Spring...

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Homework #3: Atomic Model Phys320 –Spring 2007 (Reshchikov) p. 1 Problem 1: Find the energy and wavelength of the highest energy transition for the Balmer series of K 18+ . Indicate the range of the EM spectrum where this transition is observed. () 2 0 22 2 where 2 for Balmer, for Series Limit, 19 for K 11 = 19 13.6 eV 1227 eV 2 1240 eV nm 1.01nm X-ray region 1227.4 eV fi i f nn Z EEZ E E hc E λ =∞ = ⎛⎞ −= ⎜⎟ ⎝⎠ =− = == = Problem 2: Find the minimum energy transition for the Paschen series of He + . Calculate both the energy (eV) and λ (nm) and indicate the range of the EM spectrum where this transition is observed. 2 0 2 where 3 for Paschen series, 4 for minimum energy, 2 for He 2 13.6 eV 2.644 eV 34 1240 eV nm 469 nm range 2.644 eV ii ff i f Z E E hc Infrared E = ∆= = Problem 3: If the energy of a particular transition in the Li 2+ Lyman series is 117.5 eV, find the corresponding transition (initial and final state). 2 2 0 0 0 1/2 where = 1 for Lyman Series, 3 for Li 1 1 117.5 eV 5 1 3 13.6 eV i if i i f i f f f nZ EE E Z E E ZE n n E n n n = =

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## This homework help was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.

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3-HW Solutions - Homework #3: Atomic Model Phys320 Spring...

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