Normalize the following wave functions: (a) Sin (nx/L) in the range 0
Question:
(a) Sin (nπx/L) in the range 0 <; x <; L, where n = 1, 2, 3, ...,
(b) A constant in the range -L <; x <; L,
(c) e-x/a in three-dimensional space,
(d) xe r/12a in three-dimensional space. Hint: The volume element in three dimensions is dτ = r2dr sin θ dθ dθ, with 0 <;r < , 0 < θ <π, 0 <π, 0 θ <;2π.
Use the integral in Example 8.4.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 38% (21 reviews)
We require f dr 1 and so write Nf and find N for the ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physical Chemistry questions
-
Which of the following wave functions satisfies the wave equation? (a)y(x, I) = A cos (kx + wt); (b)y(x, I) =A sin (kx + w,); (c) y (x, t) = A(cos kx + cos wt). (d) For the wave of part(b), write the...
-
The functions cos x and sin x are both unit vectors in C[-Ï, Ï] with inner product defined by (a) Show that cos x ¥ sin x. (b) Determine the value of ||cos x + sin x||2. = | f(x)g(x)dx
-
Which of the following wave functions are eigenfunctions of the operator d 2 /dx 2 ? If they are eigenfunctions, what is the eigenvalue? a. a(e -3x + e -3 ix ) b. sin 2x / a c. e 2ix d. cos ax/ e. e...
-
The Total Landed Costs (TLC) for a plastic wrap packaging machine from Germany to Monterrey, Mexico was calculated to be $723,566 USD. The company intends to use it for only 3 years and then resell...
-
Name the three phases of interphase and describe an activity unique to each phase.
-
Eloise Company had 100 units in beginning inventory at a total cost of $10,000. The company purchased 200 units at a total cost of $26,000. At the end of the year, Eloise had 80 units in ending...
-
Rites of passage, rites of intensification, prayer, and magic are important in most people's lives. How have you experienced any of these in your own life?
-
The financial statements for Highland Publications Corporation included the following selected information: Common stock $1,600,000 Retained earnings $900,000 Net income $1,000,000 Shares issued...
-
h. XYZ Company declared a 296 stock dividend on common stock ($3 par). (Pretend there are 10,000 shares of common stock outstanding and that the current market value of a share of a common stock on...
-
I think we goofed when we hired that new assistant controller,? said Ruth Scarpino, president of Provost Industries. ?Just look at this report that he prepared for last month for the Finishing...
-
Use the Planck distribution to deduce the Stefan-Boltzmanns law that the total energy density of black-body radiation is proportional to T4, and find the constant of proportionality.
-
Identify which of the following functions are eigen functions of the operator d/dx: (a) D2/dx2, (b) Cos kx, (c) K, (d) Kx, (e) e-ax2. Give the corresponding eigen value where appropriate.
-
Early the next day, the bank invests $50 million of its excess reserves in commercial loans. Later that day, terrible news hits the mortgage markets, and mortgage rates jump to 13%, implying a...
-
What do you think are the implementation issues for the AnyUnit BO, when used in the Temptation stable analysis pattern?
-
What role do you think considerations of a child's cultural/racial heritage should play in a custody dispute? What are the potential benefits of giving weight to this factor? What are the potential...
-
Why did the federal government decide to enter the child support field?
-
Assess two different quantitative measures on the temptation traditional model and temptation stable analysis patterns, and explain the differences between each of the measures.
-
Identify a few advantages of stable model over traditional model that are not discussed in this chapter.
-
Write informatory notes on Redlich-Kwong-Soave equation of state Benedict-Webb-Rubin equation of state.
-
White Bolder Investments (WBI) You are an intern working for WBI, a large investment advisory services in Sydney. Among other regular customers, WBI has been providing advisory services for Jumbo...
-
Why do economic forecasters pay special attention to investment plans? Take a look at the Conference Boards index of leading economic indicators at http://www.conference-board.org/. Which of those...
-
The rotational terms of a symmetric top, allowing for centrifugal distortion, are commonly written (a) Develop an expression for the wavenumbers of the allowed rotational transitions. (b) The...
-
The rotational Raman spectrum of 35 Cl 2 shows a series of Stokes lines separated by 0.9752 cm 1 and a similar series of anti-Stokes lines. Calculate the bond length of the molecule.
-
Which of the normal modes of CH 2 Cl 2 (Exercise 12E.7(a)) are infrared active? Which are Raman active? Data in Exercise 12E.7(a) The molecule CH 2 Cl 2 belongs to the point group C 2v . The...
-
.There are 10 people waiting in line for a ride. Only 2 people can ride at a time. How many ways can 2 people go on the ride at once? You are going golfing. You have 3 drivers, 7 wedges, 6 irons, and...
-
The annual log returns on a portfolio is 15% and 10% separately over two years. Assume the initial investment on this portfolio is $10,000, what is the portfolio value at the end of the year two?
-
4 $81.47 5 $76.38 The following table summarizes prices of various default-free zero-coupon bonds (expressed as a percentage of the face value): Maturity (years) Price (per $100 face value) 1 $95.33...
Study smarter with the SolutionInn App