4. a) A 1eV electron got trapped inside the surface of a metal. If the potential barrier is 4 eV high and the width of the barrier is 2 Å. Calculate the approximate transmission probability.b) Illustrate the wave function of a particle of energy E < U as well as E > U in the 3 regions of a potential barrier, having a barrier width of a. [U- potential barrier height] c) Consider a free particle with energy E and wavelength 2. When the particle gets into a constant potential zone of V> 0, the wavelength of the particle becomes 32. Calculate the ratio between V and E.(4 marks)
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