Electrons photo-emitted from a material in a ups experiment can be viewed as free particles. a photon of wavelength 100 nm is absorbed by an electron that was in an orbital with an ionization energy ie of 8.41 ev. use the relationship between kinetic energy and momen tum (ke = p2/2m) and the quantum mechanical momentum operator ˆp to solve for the exact unnormalized wavefunction of the electron that is photo-emitted from the orbital.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax