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8) An electron is placed in an atomic tube of length L that is open at one end

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8) An electron is placed in an atomic tube of length L that is open at one end. This can be represented as an "open-closed" tube. The mass of an electron is 9.1*10-31 kg, h=6.63*10-34 J*s a) Draw a picture that clearly shows the lowest three energy states for an electron in such an "open closed" box. b) Clearly derive a symbolic equation that will predict the allowed energy states for an electron in such a box. Your answer should be in terms of melectron, L and any other relevant constants of the universe. c) If the length of the box is Y * 10 m, how much energy is needed for an electron to go from the ground state to the first excited state in this system? 4 = 1.23 d) What wavelength of light is needed to excite an electron from the ground stateto the first excited state in this system?