Physical chem test

timer Asked: Nov 18th, 2018
account_balance_wallet $50

Question description

See attachment for the questions…

1. a. Consider a particle in a one dimensional box with infinite potential energy walls. Write the Schrodinger equation in as much detail as possible assuming that there is no potential energy contribution to the Hamiltonian. (5 pts.) b. Consider the particle in the 3rd energy state (with 1st being the lowest in energy). Plot the probability density function for this state and specify where in the box is the particle most likely to be. Give a general expression for the maxima in the probability density function in a state n. (5 pts.) c. Consider the three states of the particle in this box that have the lowest energy. For each of these three states, specify if there are one or more wave functions that describe the particle in the respective state? (5 pts.) d. The wave function for the particle in the box has the general form: ⎛ 2π ⎞ Ψ (x ) = A × sin ⎜ 2mE x ⎟ h ⎝ ⎠ ! Use the boundary condition at the limit of the box x = a to determine the formula for the energy of the particle in the box as a function of n, h, m and a. (10 pts.)

Tutor Answer

School: UIUC

I attached the an...

flag Report DMCA

Outstanding Job!!!!

Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors