University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 42, Problem 42.8E
Two atoms of cesium (Cs) can form a Cs2 molecule. The equilibrium distance between the nuclei in a Cs2 molecule is 0.447 nm. Calculate the moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them. The mass of a cesium atom is 2.21 × 10−25kg, of each atom (use the result of Exercise 42.9); (c) the rotational period (the time for one rotation)?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two atoms of cesium (Cs) can form a Cs2 molecule. The equilibrium distance between the nuclei in a Cs2 molecule is 0.447 nm. Calculate the moment of inertia about an axis through the center of mass of the two nuclei and perpendicular to the line joining them. The mass of a cesium atom is 2.21*10-25 kg.
In an H₂O molecule, the distance of the oxygen from the attached hydrogen atoms is
0.0916 nm, and the angle between the two O-H bonds is 105.8°. If the hydrogen nuclei of a
water molecule are detached one after the other, how much minimum work is needed to
dismantle a water molecule? (Assume that the end products after the dismantling will be one
02-ion and two H¹+ ions.)
(a)
(b)
(c)
1. Consider a system with two spin ½ particles in a four-dimensional basis |s₁m₁₂m₂ >:
1 1 1 1
2'2'2'2
(d)
|4₁ >=
|4₁₂ >=
|4₁ >=
|4₁₂ >=
>= xi xi
1 1 1 -1
1 -1 1 1
2' 2 '2'2
>= x+xz
where x and x are the eigenspinors of the operator Ŝ₂. The indices 1 and 2 refer to particle
1 and particle 2, respectively. In addition,
1 -1 1-1
2' 2 '2
Xi x
> = X₁ X₂
S₁ is the spin operator of particle 1.
$₂ is the spin operator of particle 2.
Ŝ is the total spin operator: S = S₁ + S₂.
Find the matrix representations of S1z, Szz, S2, and $2 in the four-dimensional basis |Yn >.
Hint: make a table.
Find the matrix representations of the total spin operators S² and S₂ in the basis |Yn >.
Find the normalized eigenspinors and eigenvalues of $² and Ŝ₂.
Congratulations: you just derived the Clebsch Gordon coefficients in a way that is different
from the method used in Griffiths. Explain! Indicate degeneracies.
Using the eigenspinors of Ŝ² and $₂
representations of Ŝ² and S₂
as your new basis, write…
Chapter 42 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 42.1 - If electrons obeyed the exclusion principle but...Ch. 42.2 - Prob. 42.2TYUCh. 42.3 - Prob. 42.3TYUCh. 42.4 - One type of thermometer works by measuring the...Ch. 42.5 - Prob. 42.5TYUCh. 42.6 - Prob. 42.6TYUCh. 42.7 - Suppose a negative charge is placed on the gate of...Ch. 42 - Van der Waals bonds occur in many molecules, but...Ch. 42 - Prob. 42.2DQCh. 42 - The H2+ molecule consists of two hydrogen nuclei...
Ch. 42 - The moment of inertia for an axis through the...Ch. 42 - Prob. 42.5DQCh. 42 - Prob. 42.6DQCh. 42 - Prob. 42.7DQCh. 42 - The air you are breathing contains primarily...Ch. 42 - Prob. 42.9DQCh. 42 - Prob. 42.10DQCh. 42 - What factors determine whether a material is a...Ch. 42 - Prob. 42.12DQCh. 42 - Prob. 42.13DQCh. 42 - Prob. 42.14DQCh. 42 - Prob. 42.15DQCh. 42 - Prob. 42.16DQCh. 42 - Prob. 42.17DQCh. 42 - Prob. 42.18DQCh. 42 - Prob. 42.19DQCh. 42 - Prob. 42.20DQCh. 42 - Prob. 42.21DQCh. 42 - Prob. 42.22DQCh. 42 - Prob. 42.23DQCh. 42 - Prob. 42.24DQCh. 42 - If the energy of the H2 covalent bond is 4.48 eV,...Ch. 42 - An Ionic Bond, (a) Calculate the electric...Ch. 42 - Prob. 42.3ECh. 42 - Prob. 42.4ECh. 42 - Prob. 42.5ECh. 42 - Prob. 42.6ECh. 42 - Prob. 42.7ECh. 42 - Two atoms of cesium (Cs) can form a Cs2 molecule....Ch. 42 - Prob. 42.9ECh. 42 - Prob. 42.10ECh. 42 - A lithium atom has mass 1.17 1026 kg, and a...Ch. 42 - Prob. 42.12ECh. 42 - When a hypothetical diatomic molecule having atoms...Ch. 42 - The vibrational and rotational energies of the CO...Ch. 42 - Prob. 42.15ECh. 42 - Prob. 42.16ECh. 42 - Prob. 42.17ECh. 42 - Prob. 42.18ECh. 42 - Prob. 42.19ECh. 42 - Prob. 42.20ECh. 42 - Prob. 42.21ECh. 42 - Prob. 42.22ECh. 42 - Prob. 42.23ECh. 42 - Prob. 42.24ECh. 42 - Prob. 42.25ECh. 42 - Prob. 42.26ECh. 42 - Prob. 42.27ECh. 42 - Prob. 42.28ECh. 42 - Prob. 42.29ECh. 42 - Prob. 42.30ECh. 42 - Prob. 42.31ECh. 42 - Prob. 42.32ECh. 42 - Prob. 42.33PCh. 42 - Prob. 42.34PCh. 42 - Prob. 42.35PCh. 42 - The binding energy of a potassium chloride...Ch. 42 - (a) For the sodium chloride molecule (NaCl)...Ch. 42 - Prob. 42.38PCh. 42 - Prob. 42.39PCh. 42 - Prob. 42.40PCh. 42 - Prob. 42.41PCh. 42 - Prob. 42.42PCh. 42 - Prob. 42.43PCh. 42 - Prob. 42.44PCh. 42 - Prob. 42.45PCh. 42 - Prob. 42.46PCh. 42 - Prob. 42.47PCh. 42 - Prob. 42.48PCh. 42 - Prob. 42.49PCh. 42 - Prob. 42.50PCh. 42 - Prob. 42.51PCh. 42 - Prob. 42.52PCh. 42 - Prob. 42.53CPCh. 42 - Prob. 42.54CPCh. 42 - Prob. 42.55CPCh. 42 - Prob. 42.56PPCh. 42 - Prob. 42.57PPCh. 42 - Prob. 42.58PP
Additional Science Textbook Solutions
Find more solutions based on key concepts
9. An ideal gas at 20°C consists of 2.2 × 1022 atoms. 4.3 J of thermal energy are removed from the gas. What is...
College Physics: A Strategic Approach (3rd Edition)
Description of Motion: Move toward the detector with decreasing speed, then just as you have come to rest, move...
Tutorials in Introductory Physics
Why is water so important to life on Earth? List the three major roles that water plays in metabolism.
Life in the Universe (4th Edition)
The mass of the little sister.
Physics (5th Edition)
Suppose you have a gas containing hydrogen molecules and oxygen molecules, in thermal equilibrium. Which molecu...
An Introduction to Thermal Physics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The l = 2 rotational level of the hydrogen chloride (HCl) molecule has energy 7.90 meV. The mass of the most common hydrogen atom is 1.674 * 10-27 kg, and the mass of the most common chlorine atom is 5.807 * 10-26 kg. Find the distance between the H and Cl nuclei.arrow_forwardA + Given that B 7-10- == 13) Suppose that the interaction energy between two atoms is given by E (r) the atoms from a stable molecule with an internuclear distance of 0.3 nm and a dissociation energy of 4 eV, calculate A and B. Also calculate the force require to break the molecule and the critical distance between the nuclei for which this occurs.arrow_forwardAn isolated LiCl molecule has its chloride ion (mass = 35 u) at x= 0 pm , and its lithium ion (7 u) at x = 202 pm. Where is the LiCl molecule's mass centered? 40.4 pm O 101 pm O o pm O +33.7 pm O 202 pm cannot determine with the information givenarrow_forward
- The bond length in F2 is 1.417 Å, instead of twice theatomic radius of F, which is 1.28 Å. What can account forthe unexpected length of the F_ F bond?arrow_forwardIn a certain solid in which the equilibrium atomic spacing is ro = 1.5 Å, the ratio of the binding energy at ro as given by Eq. 1 to that of the binding energy at ro as given by Eq. 2 is 0.9. E₁ (r) = + Eq. 1; rn +Bexp(-²) Eq. 2 pr 1. Give an expression of the characteristic length p in Eq. 2 in terms of n and ro. 2. Given that n = 2 and using Eq. 1, calculate the total lattice energy of the ions in the solid at their equilibrium separation taking the value of the attractive parameter A .E₁ (ro) to be 16.8 eV.A². Check the statement of =0.9, mentioned above. E₂ (ro) E₂ (r) =arrow_forwardShow complete solutions Calculate the value for the mass defect of an atom of the following: Helium – 4 (isotopic mass = 4.002602 u) Lithium – 7 (isotopic mass = 7.016004 u) Beryllium – 9 (isotopic mass = 9.012182 u) Calculate the value for the mass defect of a mole of the following: Boron – 15 (isotopic mass = 15.031088 u) Carbon – 14 (isotopic mass = 14.003241 u) Nitrogen – 17 (isotopic mass = 17.008449 u)arrow_forward
- Nanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of nanotechnology is the construction of artificial cells. The simplest cells would probably mimic red blood cells, the body's oxygen transporters. For example, nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a person's bloodstream. If the person needed additional oxygen-due to a heart attack perhaps, or for the purpose of space travel-these containers could slowly release oxygen into the blood, allowing tissues that would otherwise die to remain alive. Suppose that the nanocontainers were cubic and had an edge length of 23 nanometers. A)What is the volume of one nanocontainer? B)Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/Lg/L . How many grams of oxygen could be contained by each nanocontainer? C)Normal air contains about 0.28 gg of oxygen per…arrow_forwardThe PN junction of II has a structure given by the following the P doping 1016cm³ N doping 108cm³, Wp =2x10-4cm WN=100x10-4cm Xno=.0032x104cm, xp0=.32x10-4 cm 1016 1018 2x104cm 100x10-4cmarrow_forwardNanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of nanotechnology is the construction of artificial cells. The simplest cells would probably mimic red blood cells, the body's oxygen transporters. For example, nanocontainers, perhaps constructed of carbon, could be pumped full of oxygen and injected into a person's bloodstream. If the person needed additional oxygen-due to a heart attack perhaps, or for the purpose of space travel-these containers could slowly release oxygen into the blood, allowing tissues that would otherwise die to remain alive. Suppose that the nanocontainers were cubic and had an edge length of 23 nanometers. A) What is the volume of one nanocontainer? (Ignore the thickness of the nanocontainer's wall.) B)Suppose that each nanocontainer could contain pure oxygen pressurized to a density of 85 g/Lg/L . How many grams of oxygen could be contained by each nanocontainer?…arrow_forward
- Assume a hydrogen atom is a sphere with diameter 0.100 nm and a hydrogen molecule consists of two such spheres in contact. (a) What fraction of the space in a tank of hydrogen gas at 0°C and 1.00 atm is occupied by the hydrogen molecules themselves? (b) What fraction of the space within one hydrogen atom is occupied by its nucleus, of radius 1.20 fm?arrow_forwardYou are preparing to compete in the Physics Olympics. Your instructor is coaching you by providing you with challenging problems of the type you might see on an Olympics exam. He comes up with the following problem and gives you 15 minutes to solve it: Imagine a perfectly rigid HCl molecule that does not stretch as it rotates. The equilibrium separation of its ions is 0.127 5 nm. There are two isotopes for chlorine on the sample, Cl-35 and Cl-37. This results in double peaks in the molecular spectrum as shown. (a) Find an expression for the difference in the frequency between the peaks to the right of the gap as a function of the masses of the two chlorine isotopes and the quantum number J. (b) Estimate the difference in frequency numerically for J = 0, without consulting tables. Quick! Get to work!arrow_forwardShow that a homogeneous, natural uranium-graphite moderated assembly can not become critical. Use the following data: 400 moles of graphite per mole of uranium Natural uranium σ₂(U) = 7.68 b σs (U) = 8.3 b ε = 1.0; n = 1.34 Graphite σ₂(M) = 0.0032 b σ, (M) = 4.8 b § = 0.158arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY