Question: The graph below represents the ground state wave function of an electron in a finite square well potential of width L. The potential is zero

The graph below represents the ground state wave function of an electron in a finite square well potential of width L. The potential is zero at x = 0.(I got lamda = 1950 picometer

The ground state wavefunction

a. What is the approximate kinetic energy of the electron inside the well?

b. If the electron were in the ground state of an infinite square well of the same width L , what would be its kinetic energy?

amplitude 0.05 -0.05 - 1200 -800 ground state wave function -400 0 position (picometers) 400 800 1200

Step by Step Solution

★★★★★

3.47 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this problem well use quantum mechanics principles relating to the kinetic energy of an ele... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

The de Broglie wavelength of an electron in a hydrogen atom is 1.66 nm. Identify the integer n that corresponds to its orbit.

An electron in a cathode ray tube (CRT) accelerates from 2.00 x 104 m/s to 6.00 x 106 m/s over 1.50 cm. (a) How long does the electron take to travel this 1.50 cm? (b) What is its acceleration?

An electron in a computer monitor enters midway between two parallel oppositely charged plates, as shown in Fig. 15.31. The initial speed of the electron is 6.15 x 107 m/s and its vertical deflection...

c. What are the amplitude, period, and angular frequency wo of the H atom's oscillation? (A) = P3 - Pz = P2-P, = 0.01nm am! = A = 0. 0Inm angular Wo=zt T= LS- L, Wo= er Frequency = = 1. 16 x10-175...

Experiment 5: Using an Oscilloscope The purpose of this experiment is to familiarize you with the myDAQ oscilloscope. The oscilloscope is the most complicated instrument in a typical Electrical...

Please review and critique for any errors. provide feedback \fNon-symmetrical vs Nonsymmetrical Symmetrical . In a cambered airfoil ( nonsymmetrical), the mean camber line and Symmetrical chord line...

Please quality check my solutions for this advanced heat transfer problem. Show all work. Thank you. All original documents are located at the bottom. 3.9 COMPACT HEAT EXCHANGERS 3.9.10-1 3.9.10...

Possible Multiple Choice Questions for the Exam. Focus on the topics discussed in class. Chapter 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____...

(Part c is done, please do part a and b) The wave function for an electron trapped in a one-dimensional infinite square potential well of dimension (0, L) is given as a. Sketch the probability...

finite square wear Suppose instead we have a well with zo = 8; find the allowed energies En and plot the energy eigenfunctions on (x). (Hint: You might have to change the root-finding code - you'll...

Can someone please explain it to me ASAP??!!! Use both the washer method and the shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y= x^2...

Case: Southwest Airlines: Flying High With Low Costs Question 1 (25 points) a. What industry or industries does this company operate in? What were the trends in this industry/market during the time...

Create a bar chart with average line and totals added from the Tableau Analytics pane and save it as a workbook using type of ownership and overall star rating.

1. Assemble the electro-pneumatics circuit based on the diagram given. YO A 24V SW1 F K1 K1 SW2 F--) OV AQ A1 20 YI 21 K2 BO A1 81 AO YO Y1 K1 ZO Z1 Results/Discussions. Figure 5.1: Two cylinders...

Describe Porter's Five Forces and how they show a company's competitive advantage

(15 points) A few weeks after the limits and average case performance were established and agreed upon by the study team, the Authority commissions another round of observations (see below) to...

Businesses sometimes advertise that you should Come try our product. If you do, well give you $200 just for coming by! If you read the fine print, what you find out is that they will give you a...

U.S. households have become smaller over the years. The following table from the 2010 GSS contains information on the number of people currently aged 18 years or older living in a respondent's...

Evaluate the challenges a person may face while outsourcing HR Functions?

Two containers hold ideal gases at the same temperature. Container A has twice the volume and half the number of molecules as container B. What is the ratio PA / PB, where PA is the pressure in...

The heat that goes into a particular Carnot engine is 4.00 times greater than the work it performs. What is the engine's efficiency?

An X-ray scattering from a free electron is observed to change its wavelength by 3.03 pm. At what angle to the incident direction does the scattered X-ray move?

Compute a simple index for the revenue of GE using the period 200406 as the base. What can you conclude about the change in revenue over theperiod?

Refer to the Baseball 2012 data, which include information on the 2012 Major League Baseball season. The data also include the mean player salary since 1989. a. Use the year 2000 salary as the base...

PNC Bank Inc., which has its headquarters in Pittsburgh, reported $17,446 (million) in commercial loans in 1995, $19,989 in 1997, $21,468 in 1999, $21,685 in 2000, $15,922 in 2002, $18,375 in 2004,...