Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Question
Chapter 9, Problem 57E
To determine
Importance of high and low value of probability density
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Chapter 9 Solutions
Physical Universe
Ch. 9 - Prob. 1MCCh. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MC
Ch. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 15MCCh. 9 - Prob. 16MCCh. 9 - Prob. 17MCCh. 9 - Prob. 18MCCh. 9 - Prob. 19MCCh. 9 - Prob. 20MCCh. 9 - Prob. 21MCCh. 9 - Prob. 22MCCh. 9 - Prob. 23MCCh. 9 - Prob. 24MCCh. 9 - Prob. 25MCCh. 9 - Prob. 26MCCh. 9 - Prob. 27MCCh. 9 - Prob. 28MCCh. 9 - Prob. 29MCCh. 9 - Prob. 30MCCh. 9 - Prob. 31MCCh. 9 - Prob. 32MCCh. 9 - Prob. 33MCCh. 9 - Prob. 34MCCh. 9 - Prob. 35MCCh. 9 - Prob. 36MCCh. 9 - Prob. 37MCCh. 9 - Prob. 38MCCh. 9 - Prob. 39MCCh. 9 - Prob. 40MCCh. 9 - Prob. 41MCCh. 9 - Prob. 42MCCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - Prob. 11ECh. 9 - Prob. 12ECh. 9 - Prob. 13ECh. 9 - Prob. 14ECh. 9 - Prob. 15ECh. 9 - Prob. 16ECh. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - Prob. 31ECh. 9 - Prob. 32ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48ECh. 9 - Prob. 49ECh. 9 - Prob. 50ECh. 9 - Prob. 51ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Prob. 54ECh. 9 - Prob. 55ECh. 9 - Prob. 56ECh. 9 - Prob. 57ECh. 9 - Prob. 58ECh. 9 - Prob. 59ECh. 9 - Prob. 60ECh. 9 - Prob. 61ECh. 9 - Prob. 62ECh. 9 - Under what circumstances do electrons exhibit...
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- Can the magnitude of a wave function (*(x,t)(x,t)) be a negative number? Explain.arrow_forwarda) Write down an expression for the probability density ρ(t, x) of a particle described by the wavefunction Ψ(t, x). b) Using the probability density, explain how you would calculate the probability of finding this particle in the interval between x = A and x = B.arrow_forwardThe wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is ψ(x) = A sin (nπx/L)Use the normalization condition on ψ to show that A = √2/Larrow_forward
- What is the value N so that ψ(x) = N/(a2 + x2) can give rise to a valid probability density?arrow_forwardA particle is created in a shower of particle decays. Its velocity is measured to a precision of 50 micrometers/second and its mass is inferred to be (exactly) 6.64×10−27 kg. What is the minimum uncertainty in our knowledge of the particle’s position? Explain.arrow_forwardSuppose a particle has a wavefunction Ψ(x) = Ne-sx2. Sketch the form of this wavefunction. Where is the particle most likely to be found? At what values of x is the probability of finding the particle reduced by 50 per cent from its maximum value?arrow_forward
- Could the function Ψ(x)=Ax + B (where A and B are real constants) possibly be a valid wavefunction for a quanton under the right circumstances? Why or why not?arrow_forwardA particle has the wavefunction: Ψ(r) = N.exp(-a.r), where "N" is normalization factor and "a" is a real number. a) Find an expression for N. b) Find the mean values <x>, <r>, <r^2>.arrow_forwardA proton is confined in a uranium nucleus of diameter 7.2 x 10-15 m. Use the energy-level calculation of a one-dimensional box that has length equal to the nuclear diameter to calculate the proton's minimum kinetic energy. What is the proton's minimum kinetic energy according to the uncertainty principle?arrow_forward
- For a particle in a one-dimensional box, calculate the probability of the particle to exists between the length of 0.30L and 0.70L if n = 5.arrow_forwardV5arrow_forwardThe general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is w(x)= C sin kx + Dcos kx V2mE k where C and D are constants, E is the energy of the particle and m is the mass of the particle. Show that the energy E of the particle inside the square-well potential is quantised.arrow_forward
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