n = 4 n = 3 n = 2 300 400 500 600 700 800 900 n = 1 Wavelength (nm) Intensity of emmitted light

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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In the Bohr model of the hydrogen atom, electrons are confined to orbits with fixed radii, and those radii can be calculated.
The radii of the first four orbits are 0.53, 2.12, 4.76, and 8.46 Å, respectively, as depicted below.
(a) If an electron makes a transition from the ni = 4 level to a lower-energy level, nf = 3, 2, or 1, which transition would
produce a photon with the shortest wavelength?
(b) What are the energy and wavelength of such a photon, and in which region of the electromagnetic spectrum does it lie?
(c) The image on the right shows the output of a detector that measures the intensity of light emitted from a sample of hydrogen atoms
that have been excited so that each atom begins with an electron in the n = 4 state. What is the final state, nf, of the transition being
detected?

n = 4
n = 3
n = 2
300
400
500
600
700
800
900
n = 1
Wavelength (nm)
Intensity of emmitted light
Transcribed Image Text:n = 4 n = 3 n = 2 300 400 500 600 700 800 900 n = 1 Wavelength (nm) Intensity of emmitted light
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