(b) Consider the one-dimensional wave function y(x,t) = A exp(ikx-iwt). (i) Find the relationship between k and w, such that this wave function satisfies the time-dependent Schrödinger equation with V(x) = 0. (2 marks) (ii) Determine the energy and the momentum associated with this wavefunction. д Given: the momentum operator is Pop-ih- ax (2 marks) (iii) Comment on whether this is a realistic wave function for a free particle. (I mark)