Consider the finite potential barrier as shown in the figure. V(x) v=U, Vo k- d V=O x (a) Calculate the transmission probability T for a particle of mass m incident from the left with energy E in the limit T <<1 (15 pts). Hint: If T<<1, the incident wave is reflected at x = 0 as if the barrier were infinitely thick. Write out the solutions for x < 0 and 0 <x<d to calculate T. (b) If the energy of the electron is E = 1 eV and the barrier height Vo = 2 eV, how wide must be the barrier so that the transmission probability is 10? (5 pts). electron mass = 9.10938188 x 1031 kg