a) Explain the difference between quantum Mechanics and Classical Mechanics b) Explain the Bohr's form of...

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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 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

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a Quantum Mechanics and Classical Mechanics are two fundamental theories that describe the behavior of particles and systems in the physical world The main differences between them are Quantum Mechani... View the full answer