a) Explain the difference between quantum Mechanics and Classical Mechanics b) Explain the Bohr's form of quantization of Energy [4 mks] [3 mks] c) Calculate the penetration distance for a very small dust particle of mass 4 x 10-14 kg moving at v =10-2 m/s if the particle impinges on a potential step of height equal to twice its K.E in the region to the left of the potential step. [5 mks] d) Express travelling wave equations in exponential form -for positive and negative directions of x-axis. e) Define the term tunnelling. [4 mks] [2 mks] [2 mks] f) Define eigen-functions and operators g) Show that a function of x such as (x) = A sin kx is an eigen function under the a2 Operator but it is not eigen function under the operator [5 mks] h) Define boundary conditions in I-D box model [5 mks] QUESTION 2 (20 MKS) a) Derive the Time Schrodinger wave equation in reference to the general partial differential wave equation. [10 mks] b) Calculate the expected values for x, for a particle in an infinite square well of width defined by 0