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34) An electron is confined in one dimensional atomic box of length, L = 5.0 * 10-10m. The energy levels are set as energies of particle in the box. (m.=9.1x10-9 kg, h=6.63 x 10-34 J·s, 1E.V.=1.6 * 10-19 Joules) a) What is the ground state (n=1, the first energy state) of this electron?(Hint: using unit in electron volt will make the solution simple.) h² 1 8my (2 (6, 63 x 10 -3472 8 (9.1 4 1031) (5*10-102 . 43,9 x 10-68 = 2.412* 10-19 1820 x 10-51 f Fi.slev - 1.6 x 10-19 b) If the electron can be excited to n=2 and n=3, states, how much energy has to be absorbed for electron to climb from n=2 to n=3 state? RE2 n=3 Ez = 32 XE, =4 (151) 26.04 13.51 = 9 (1.51) - Es- E₂ - = 13.59 - 6.04 7.55 eV c) If photon is emitted when the excited electron return to lower state. What is the frequency and the wavelength of the photon, when electron returns from n=3 to n=1 state? 1=3 , g = 13.69