Physical Universe
15th Edition
ISBN: 9780077510534
Author: KRAUSKOPF
Publisher: Mcgraw-hill Higher Education (us)
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Chapter 9, Problem 31E
To determine
The de Broglie wavelength of the wave associate with an oxygen molecule of mass
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What is the surface temperature of Betelgeuse, a red giant star in the constellation of Orion, which radiates with a peak wavelength of about 970 nm? (b) Rigel, a bluish - white star in Orion, radiates with a peak wavelength of 145 nm. Find the temperature of Rigel’s surface.
Recall from Section 14.3 that the average kinetic energy of an atom in a monatomic ideal gas is given by KE=(3/2)kT, where k
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Number i 7.38E-11
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·Shown here is the visible part of the spectrum of some gas. There are 11 lines. There could be
6.
more, they just aren't in the wavelength range of the spectrum. The wavelength increases toward the
right. :..
de
f
gh
k
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(b) Which line or lines correspond(s) to the two farthest spaced energy levels? Explain.
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Chapter 9 Solutions
Physical Universe
Ch. 9 - Prob. 1MCCh. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MC
Ch. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 15MCCh. 9 - Prob. 16MCCh. 9 - Prob. 17MCCh. 9 - Prob. 18MCCh. 9 - Prob. 19MCCh. 9 - Prob. 20MCCh. 9 - Prob. 21MCCh. 9 - Prob. 22MCCh. 9 - Prob. 23MCCh. 9 - Prob. 24MCCh. 9 - Prob. 25MCCh. 9 - Prob. 26MCCh. 9 - Prob. 27MCCh. 9 - Prob. 28MCCh. 9 - Prob. 29MCCh. 9 - Prob. 30MCCh. 9 - Prob. 31MCCh. 9 - Prob. 32MCCh. 9 - Prob. 33MCCh. 9 - Prob. 34MCCh. 9 - Prob. 35MCCh. 9 - Prob. 36MCCh. 9 - Prob. 37MCCh. 9 - Prob. 38MCCh. 9 - Prob. 39MCCh. 9 - Prob. 40MCCh. 9 - Prob. 41MCCh. 9 - Prob. 42MCCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - Prob. 11ECh. 9 - Prob. 12ECh. 9 - Prob. 13ECh. 9 - Prob. 14ECh. 9 - Prob. 15ECh. 9 - Prob. 16ECh. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - Prob. 31ECh. 9 - Prob. 32ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48ECh. 9 - Prob. 49ECh. 9 - Prob. 50ECh. 9 - Prob. 51ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Prob. 54ECh. 9 - Prob. 55ECh. 9 - Prob. 56ECh. 9 - Prob. 57ECh. 9 - Prob. 58ECh. 9 - Prob. 59ECh. 9 - Prob. 60ECh. 9 - Prob. 61ECh. 9 - Prob. 62ECh. 9 - Under what circumstances do electrons exhibit...
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- What is the de-Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is with root-mean-square speed of moving molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)arrow_forwardAt very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of 23Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)arrow_forwardA sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?arrow_forward
- An infrared satellite measures outgoing radiation that leaves Earth's surface through an atmospheric window. The observed spectral irradiance at a wavelength of 10 μm is 2.199×107 W m-2 m-1. What is the temperature of the surface? Give your answer in K.arrow_forwardA red laser with wavelength 633 nm emits 1.92kW of power. The number of photons emitted per second is: Round your answer to 3 significant figures. Add your answerarrow_forwardWhat is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-meansquare speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)arrow_forward
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- A collection of atoms has 20% of the sample in a state 7.60 eV above the ground state. If these emit coherent radiation, what is the wavelength of the laser light produced in nanometers? (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, 1 eV = 1.60 × 10-19 J) Give your answer as a whole number.arrow_forwardMonochromatic light from a laser shines onto a gold surface and produces photoelectrons with maximum kinetic energy KEmax = 3 eV. What is the wavelength of the laser light? Assume a work function of 5.10 eV for gold.Please give your answer in units of nm, rounded to 1 decimal place. I.e, the answer you should enter should have the form: XX.X nm.arrow_forwardWhat is the de Broglie wavelength of an oxygen molecule at 25°C? The energy of oxygen molecules E = 1.5 kT.Compare this with the average distance between oxygen molecules in a gas state of 1 bar, 25°C (l = V^1/3 ).arrow_forward
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