The figures below show the wave function describing two different states of a particle inan infinite square well. The number of nodes (within the well, but excluding the walls) ineach wave function is related to the quantum number associated with the state itrepresents:Wave function Anumber of nodes = n-1Wave function BMDetermine the wavelength of the light absorbed by the particle in being excited from thestate described by the wave function labelled A to the state described by the wavefunction labelled B. The distance between the two walls is 1.00 × 10-10 m and the mass ofthe particle is 1.82 × 10-30 kg. Enter the value of the wavelength in the empty box below.Your answer should be specified to an appropriate number of significant figures.wavelength=nm.

Step 1: Step 2: Step 3: Step 4:

Answered: The figures below show the wave…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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In a particular semiconductor device, electrons that are accelerated through a potential of 5 V attempt to tunnel through a barrier of width 0.8 nm and height 10 V. What is the tunneling probability through the barrier If the potential is zero outside * ?the barrier 1.02 x 10-8 2.26 x 10-8 4.5 x 10-8 16.4 x 10-8 1.13 x 10-8
Particle of mass m moves in a three-dimensional box with edge lengths L1, L2, and L3. (a) Find the energies of the six lowest states if L1 =L, L2 = 2L, and L3 = 2L. (b) Which if these energies are degenerate?
The wave function for a quantum particle is given by ?(?)=??between ?=0and ?=1.00, and ?(?)=0elsewhere. Find (a) the value of the normalization constant ?, (b) the probability that the particle will be found between ?=0.300and ?=0.400, and (c) the expectation value of the particle’s position.
For 3-D system, the Schrödinger equation changes. a) True b) False
An electron is trapped in a region between two infinitely high energy barriers. In the region between the barriers the potential energy of the electron is zero. The normalized wave function of the electron in the region between the walls is ψ(x) = Asin(bx), where A=0.5nm1/2 and b=1.18nm-1. What is the probability to find the electron between x = 0.99nm and x = 1.01nm.
Chapter 39, Problem 009 Suppose that an electron trapped in a one-dimensional infinite well of width 144 pm is excited from its first excited state to the state with n 9. (a) What energy must be transferred to the electron for this quantum jump? The electron then de- excites back to its ground state by emitting light. In the various possible ways it can do this, what are the (b) shortest, (c) second shortest, (d) longest, and (e) second longest wavelengths that can be emitted? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units
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What is the probability that the electron with the lowest energy in a box of 2.0 nm is between x = 0.2 and x = 1 nm?
Consider a particle in a 2-D box having Lx = 10 nm and Ly = 10 nm. a) Make a surface plot of all the wave functions for the first and second energy levels. b) What is the degeneracy of the second energy level? Compare and contrast the wave functions of the second energy level. c) How does the number of nodes in the x-coordinate change as n increases? How does the number of nodes in the y-coordinate change as n, increases? d) Explain whether or not those same states would be degenerate if Lx = 10 nm and Ly = 15 nm.
Which of the following is/are correct for the equation y(x) dx defined for a particle whose state function is y(x) (11) (iii) This equation gives the probability of the particle with the range x to X₂. This equation applies to the particle moving in any dimension. This equation defines relation between the state function and the probability with the range x; to x₂- (a) Only (1) (b) (ii) and (iii) (c) (i) and (iii) (d) (i) and (ii)
Calculate the probability and probability density to find the particle between X = 0 and X = a /n when it is in the n state
A particle is in a three-dimensional cubical box that has side length L. For the state nX = 3, nY = 2, and nZ = 1, for what planes (in addition to the walls of the box) is the probability distribution function zero?

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