College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 28, Problem 17P
(a)
To determine
The shortest and longest wavelengths for light in the Balmer and the Lyman series.
(b)
To determine
The regions of
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Annotate the IR spectra by labelling each of the major peaks as a functional group.
Some of the most powerful lasers are based on the energy levels of neodymium in solids, such as glass, as shown . (a) What average wavelength light can pump the neodymium into the levels above its metastable state? (b) Verify that the 1.17 eV transition produces1.06 μm radiation.
4,
3.
Excited
Ground
state
1(ground state)
state
4.
4.85E-19 J
4.42E-19 J
3.98E-19 J
3.
1.
3.03E-19 J
2.
1.
1 (ground state)
Energy
Energy
paquosqe
emitted
2) [30] Energy Levels
Above is a schematic of a Hydrogen atom with its first 5 energy levels. On
the right is the energy emitted from the transitions (lines pointing down on
the diagram). Using the knowledge that energy and wavelength are
hc,
connected ( E =) you will figure out the wavelength for each of these
%3D
transitions.
%3D
E.
h = Planck constant = 6.63E-34 J*s
c = speed of light = 3E8 m/s
2 = wavelength in meters
E = energy in Joules (J)
%3D
hc
%3D
E
will be in meters! Divide by 10-9 for nm
If you need help converting this to a color easier, try this website once you
get the wavelength in nm: https://academo.org/demos/wavelength-to-
colour-relationship/
Chapter 28 Solutions
College Physics (10th Edition)
Ch. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQ
Ch. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 1MCPCh. 28 - Prob. 2MCPCh. 28 - Prob. 3MCPCh. 28 - Prob. 4MCPCh. 28 - Prob. 5MCPCh. 28 - Prob. 6MCPCh. 28 - Prob. 7MCPCh. 28 - Prob. 8MCPCh. 28 - Prob. 9MCPCh. 28 - Prob. 10MCPCh. 28 - Prob. 11MCPCh. 28 - Prob. 12MCPCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50GPCh. 28 - Prob. 51GPCh. 28 - Prob. 52GPCh. 28 - Prob. 53GPCh. 28 - Prob. 54GPCh. 28 - Prob. 55GPCh. 28 - Prob. 56GPCh. 28 - Prob. 57GPCh. 28 - Prob. 58GPCh. 28 - Prob. 59GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66PPCh. 28 - Prob. 67PPCh. 28 - Prob. 68PPCh. 28 - Prob. 69PPCh. 28 - Prob. 70PPCh. 28 - Prob. 71PPCh. 28 - Prob. 72PPCh. 28 - Prob. 73PPCh. 28 - Prob. 74PP
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- A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm apart, which are connected to opposite terminals of a 500 V battery. What fraction of the atomic radius does the separation distance d amount to, roughly? Estimate the voltage you would need with this apparatus to ionize the atom.arrow_forwardSome 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.arrow_forwardCompute the intrinsic line-width (AX) of the Lyman a line (corresponding to the n = 2 to n = 1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10 s. The line-width may be computed using: e hc ΔΕarrow_forward
- Compute λD and ND for the following cases: (a) A glow discharge, with n = 1016 m-3, KT, = 2 eV. (b) The earth's ionosphere, with n = 1012 m-3, KT, = 0.1 eV. (c) A ϴ-pinch, with n = 1023 rn-3, KT, = 800 eVarrow_forwardModel an atom as an electron confined in a rigid box of length 0.10nm. Calculate the wavelength of the emitted photon for the electronic transition from the second excited state to the ground state.Express your answer in units of nm.arrow_forward(a) An excimer laser used for vision correction emits 193-nm UV. Calculate the photon energy in eV. (b) These photons are used to evaporate corneal tissue, which is very similar to water in its properties. Calculate the amount of energy needed per molecule of water to make the phase change from liquid to gas. That is, divide the heat of vaporization in kJ/kg by the number of water molecules in a kilogram. (c) Convert this to eV and compare to the photon energy. Discuss the implications.arrow_forward
- Calculate the wavelengths of the components of the first line of the Lyman series, taking the fine structure of the 2p level into accountarrow_forward1) The temperature of the absorber plate of a flat plate collector is 102 degrees * C and an be accepted as a black body. What percent of the radiant energy comes from this ate in the long wavelength band gap of 8 um to 11 um?arrow_forwardCalculate the wavelength of a photon emitted when singly ionized helium (He+) transitions from the n = 3 to n = 2 state. Express answer in nm to 3 significant digits. The emitted photon has a wavelength of _______ nm.arrow_forward
- The three lowest energy levels of a hydrogen atom are -13.6 eV, -3.4 eV, and -1.5 eV. Place this atom in thermal contact with a reservoir and assume that there is only one way to occupy any one of these levels. Calculate the relative probability that this hydrogen atom at T = 316 K is in its first excited state (at -3.4 eV) relative to its ground state (at -13.6 eV). Write your answer in exponential form. An "eV" (electron volt) is the energy acquired by an electron accelerated across a 1 volt potential difference. This unit is used to describe electronic energy levels in atoms or solids (semiconductors, etc.). 1 eV = 1.602 x 10-19 J and Boltzmann's constant can be written as 8.617 x 10-5 eV K-1. If your calculator is unable to do this calculation try the web site https://www.wolframalpha.com In this site ex is entered as e^x, though exp(x) can also be used. If you haven't used this website before, a convenient tutorial can be found on youtube (for example,…arrow_forwardCoherence Length. Show that light of narrow spectral width has a coherence length l. 12/AX, where AX is the linewidth in wavelength units. Show that for light of broad uniform spectrum extending between the wavelengths Amin and Amax = 2Amin, the coherence length le = Amax.arrow_forwardThe three lowest energy levels of a hydrogen atom are -13.6 eV, -3.4 eV, and -1.5 eV. Assume that there is only one way to occupy any one of these levels. Calculate the relative probability that a hydrogen atom in thermal equilibrium in a star, at temperature T = 9674 K, is in its first excited state (at -3.4 eV) relative to its ground state (at -13.6 eV). Write your answer in exponential form. Recall that Boltzmann's constant can be written as 8.617 x 10-5 eV K-1.arrow_forward
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