BuyFind*launch*

2nd Edition

Ball + 3 others

Publisher: Wadsworth Cengage Learning,

ISBN: 9781133958437

Chapter 10, Problem 10.51E

Textbook Problem

How many nodes are there for the one-dimensional particle-in-a-box in the state described by

Physical Chemistry

Ch. 10 - State the postulates of quantum mechanics...Ch. 10 - What are the four requirements for any acceptable...Ch. 10 - State whether the following functions are...Ch. 10 - State whether the following functions are...Ch. 10 - Give examples of your own of functions that...Ch. 10 - What are the operations in the following...Ch. 10 - Evaluate the operations in parts a, b, and f in...Ch. 10 - The following operators and functions are defined:...Ch. 10 - Multiple operators can act on a function. If Px...Ch. 10 - Indicate which of these expressions yield...

Ch. 10 - Indicate which of these expressions yield an...Ch. 10 - Why is multiplying a function by a constant...Ch. 10 - Relating to the previous question, some texts...Ch. 10 - Using the original definition of the momentum...Ch. 10 - Under what conditions would the operator described...Ch. 10 - A particle on a ring has a wavefunction =12eim...Ch. 10 - Calculate the uncertainty in position, x, of a...Ch. 10 - For an atom of mercury, an electron in the 1s...Ch. 10 - Classically, a hydrogen atom behaves as if it were...Ch. 10 - The largest known atom, francium, has an atomic...Ch. 10 - How is the Bohr theory of the hydrogen atom...Ch. 10 - Though not strictly equivalent, there is a similar...Ch. 10 - The uncertainty principle is related to the order...Ch. 10 - What are the complex conjugates of the following...Ch. 10 - What are the complex conjugates of the following...Ch. 10 - For a particle in a state having the wavefunction...Ch. 10 - Repeat the above exercise for =2asin2xa How do...Ch. 10 - A particle on a ring has a wavefunction =eim,...Ch. 10 - A particle having mass m is described as having...Ch. 10 - Consider the same particle in the same box as in...Ch. 10 - Normalize the following wavefunctions over the...Ch. 10 - Normalize the following wavefunctions over the...Ch. 10 - A Gaussian function has the form eax2, where a is...Ch. 10 - Of the requirements of a proper wavefunction,...Ch. 10 - For an unbound or free particle having mass m in...Ch. 10 - Why does the Schrdinger equation have a specific...Ch. 10 - Explain the reason that the kinetic energy...Ch. 10 - Use the Schrdinger equation to evaluate the total...Ch. 10 - Evaluate the expression for the total energies for...Ch. 10 - Explain how the Hamiltonian operator is Hermitian....Ch. 10 - Verify that the following wavefunctions are indeed...Ch. 10 - In exercise 10.41a, the wavefunction is not...Ch. 10 - Verify the normalization constant on the...Ch. 10 - Verify that equation 10.11 satisfies the...Ch. 10 - Explain why n=0 is not allowed for a...Ch. 10 - Find the first three energies of a proton confined...Ch. 10 - Assume that an energy difference of 1.001032J is...Ch. 10 - What happens to the energy of a particle-in-a-box...Ch. 10 - Carotenes are molecules with alternating CC and...Ch. 10 - The electronic spectrum of the molecule butadiene,...Ch. 10 - How many nodes are there for the one-dimensional...Ch. 10 - Draw at least roughly plots for the first five...Ch. 10 - Show that the normalization constants for the...Ch. 10 - Evaluate the probability that an electron will...Ch. 10 - Determine the classical velocity of an electron in...Ch. 10 - An official baseball has a mass of 145g. a...Ch. 10 - Is the uncertainty principle consistent with our...Ch. 10 - From drawing of the probabilities of particles...Ch. 10 - What is the probability of finding a...Ch. 10 - Instead of x=0 to a, assume that the limits on the...Ch. 10 - In a plot of ||2, the maximum maxima in the plot...Ch. 10 - Explain how =2/asin(nx/a) isnt an eigenfunction of...Ch. 10 - Evaluate the average value of position, x, for the...Ch. 10 - The average value of radius in a circular system,...Ch. 10 - Evaluate the average value of position, x, for 2...Ch. 10 - Evaluate px, for 1 of a particle-in-a-box.Ch. 10 - If the operator x2=xx=x2, evaluate x2 for a...Ch. 10 - If the operator px2=pxpx=22x2, evaluate px2 for a...Ch. 10 - Evaluate E for 1 of a particle-in-a-box and show...Ch. 10 - Assume that for a particle on a ring the operator...Ch. 10 - Mathematically, the uncertainty A in some...Ch. 10 - Why do we define (1/X)(d2/dx2)X as (2mEx/2) and...Ch. 10 - What are the units on (1/X)(d2/dx2)X? Does this...Ch. 10 - Verify that the wavefunctions in equation 10.20...Ch. 10 - An electron is confined to a box of dimensions...Ch. 10 - a What is the ratio of energy levels having the...Ch. 10 - Consider a one-dimensional particle-in-a-box and a...Ch. 10 - Assume a particle is confined to a cubical box....Ch. 10 - Determine the degeneracies of all levels for a...Ch. 10 - From the expressions for the 1-D and 3-D...Ch. 10 - Determine the degeneracies for all energies of a...Ch. 10 - What are x,y, and z for 111 of a 3-D...Ch. 10 - What are x2, y2 and z2 for 111 of a 3-D...Ch. 10 - Show explicitly that 2 and 3 for the 1-D...Ch. 10 - Show explicitly that 111 and 112 for the 3-D...Ch. 10 - Why cant 0a1x2d for a 1-D particle-in-a-box be...Ch. 10 - Verify that 12d=21d=0 for the 1-D...Ch. 10 - Evaluate the following integrals of the...Ch. 10 - Substitute (x,t)=eiEt/(x) into the time-dependent...Ch. 10 - Write (x,t)=eiEt/(x) in terms of sine and cosine,...Ch. 10 - Evaluate |(x,t)|2. How does it compare to |(x)|2?Ch. 10 - Construct plots of the probabilities of the first...Ch. 10 - Numerically integrate the expression for the...Ch. 10 - Numerically integrate the 1-D particle-in-a-box...

Find more solutions based on key concepts

29. Calculate the formula mass for each compound:

Chemistry In Focus

Consider three sealed steel tanks, labeled X, Y, and Z. Each tank has the same volume and the same temperature....

Chemistry: Principles and Reactions

When 5.0mL of water and 5.0mL of rubbing alcohol are mixed together, the volume of the resulting solution is 9....

Chemistry for Today: General, Organic, and Biochemistry

You are given a sample of a silvery metal. What information could you use to prove the metal is silver?

Chemistry & Chemical Reactivity

Salt and ice are stirred together to give a mixture to freeze ice cream. The temperature of the mixture is 20.0...

General Chemistry - Standalone book (MindTap Course List)

Name the following coordination compounds. a. Na4[Ni(C2O4)3] b. K2[CoC4] c. [Cu(NH3)4]SO4 d. [Co(en)2(SCN)Cl]Cl

Chemistry: An Atoms First Approach

5.26 How many moles of an ideal gas are there if the volume of the gas is 158 L at 14°C and a pressure of 89 kP...

Chemistry for Engineering Students

uppose you are trying to help your friend understand the general solubility rules for ionic substances in water...

Introductory Chemistry: A Foundation

Name three kinds of carbohydrates that can be built using only glucose monomers.

BIOLOGY:CONCEPTS+APPL.(LOOSELEAF)

Which phrase best describes what a functional group does? a. assembles large organic compounds b. influences th...

Human Biology (MindTap Course List)

Eukaryotic and prokaryotic ribosomes are similar in that: a. both contain a small subunit, but only eukaryotes ...

Biology: The Dynamic Science (MindTap Course List)

Identify the main types of glial cells and describe the functions of each.

Biology (MindTap Course List)

How can astronomers detect neutrinos from the sun?

Horizons: Exploring the Universe (MindTap Course List)

4. At sea level, the normal percentage of carbon dioxide (CO2) in the atmosphere is
A. 5%
B. 40%
C. 78%
D. 0.03...

Cardiopulmonary Anatomy & Physiology

Which of the following is correct concerning fruits that have been irradiated? They decay and ripen more slowly...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Osteoporosis typically develops in old age, yet the time to optimize bone density is during childhood and adole...

Understanding Nutrition (MindTap Course List)

KEY TERMS 1. science (1.1) 2. scientific method (1.2) 3. standard unit (1.4) 4. system of units 5. metric syste...

An Introduction to Physical Science

What kind of activities might bring individuals from other regions to an ice-sheet climate?

Fundamentals of Physical Geography

After four years of experiencing amenorrhea, Tonya seeks medical care to help her become pregnane. She is convi...

Nutrition Through The Life Cycle

Construct Your Own Problem Consider humans generating electricity by pedaling a device similar to a stationary ...

College Physics

The eye of a hurricane passes over Grand Bahama Island in a direction 60.0 north of west with a speed of 41.0 k...

College Physics

An electrical device called a diode is designed to have very low resistance to current flowing through it in on...

Inquiry into Physics

In what way has biotechnology had an impact on agriculture in the United States?

Human Heredity: Principles and Issues (MindTap Course List)

2 The following reaction may be represented by the In this enzyme-catalyzed reaction, Mg2+ is a cofactor, fluor...

Introduction to General, Organic and Biochemistry

Pesticide Residues in Urine To carry the USDAs organic label (right), food must be produced without synthetic p...

Biology: The Unity and Diversity of Life (MindTap Course List)

61. Read the What if . . . “Problem Molecules” box in this chapter. One such “problem molecule” when it occurs ...

Chemistry In Focus

A chemist needs exactly 2 moles of KNO3 to make a solution. What mass of solid KNO3 must be used?

Chemistry for Engineering Students

One of the steps in fatty-acid biosynthesis is the dehydration of (R)-3-hydroxybutyryl ACP to give trans-croton...

Organic Chemistry

Researchers estimate that the average daily municipal solid waste production per person in the United States is...

Environmental Science (MindTap Course List)

What are the basic beliefs of your environmental worldview? Record your answer. At the end of this course, retu...

Environmental Science (MindTap Course List)

Time-tested clinical assumptions about appropriate dietary therapies during pregnancy tend to work as well in p...

Nutrition Through the Life Cycle (MindTap Course List)

What is an ion pair?

General, Organic, and Biological Chemistry

Initially, the system of objects shown in Figure P5.49 is held motionless. The pulley and all surfaces and whee...

Physics for Scientists and Engineers

A certain car has a fuel efficiency of 25.0 miles per gallon (mi/gal). Express this efficiency in kilometers pe...

College Physics

With the help of Figures 18-14 and 18-15, name each of the compounds in Problem 18-104.

Organic And Biological Chemistry

Draw a structural formula for the product of each SN2 reaction. Where configuration of the starting material is...

Organic Chemistry

1. Draw a Lewis structure for HOMO. Are there any resonance structures? What is the formal charge on each atom?...

Chemistry & Chemical Reactivity

Examine the list of upcoming lunar eclipses in Table 3-1. What fraction of years have two eclipses?

Foundations of Astronomy (MindTap Course List)

You are performing an experiment that requires the highest-possible magnetic energy density in the interior of ...

Physics for Scientists and Engineers with Modern Physics

Most of the energy that aerobic respiration releases from glucose ends up in ______. a. NADH b. ATP c. heat d. ...

Biology: The Unity and Diversity of Life (MindTap Course List)

Assume the Suns luminosity (the same as its power) is constant over its entire 10-billion-year life. Estimate t...

Physics for Scientists and Engineers: Foundations and Connections

How is the ocean stratified by density? What names are given to the oceans density zones?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Charged panicles from outer space, called cosmic rays, strike the Earth more frequently near the poles than nea...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Write a brief description of the relationships among each of the following groups of terms or phrases. Answers ...

Introductory Chemistry: An Active Learning Approach