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1. Answer the following questions (a) What was the major assumption Max Planck made in explaining the distribution of frequencies corning from the blackbody radiation? (b) Describe the photoelectric effect and its application. (6) Describe the Davison and Germer's experiment and its implication. (d) For a particle with momentum p, what is the expression for its de Broglie wavelength? Find estimates for de Broglie wavelengths for electron and proton at thermal equilibrium at room temperature. (e) Describe Bohr's model for hydrogen atom and its implication. 2. (20 pts) A particle of mass m is subject to a potential V(x) - Answer the following questions. (a) Write down the Newton's equation of motion for this particle. (b) Given that the particle behaves classically and the position and momentum at time zero. Are x(0) and p(0), find out the expressions for its position and momentum at time L. (c) Write downs the Schroedinger equation for the wave function of the particle (x) (d) The wave function 4(x) - Neikxe- 2a where k and a are parameters. Find out the expressions for the average momentum and energy.

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