Applying the time-independent schrödinger equation to model a particle (of mass m) in one-dimensional potential-energy well with infinitely high sides (of width l), leads to the energy and the magnitude of the linear momentum adopting specific, quantised values: en = n = 1, 2, 3, n²h² 8m2 n = 1, 2, 3, nha metom ipl = mom - 74 x 40 (1) explain the origin of the quantisation of energy and momentum, with specific reference to how the particle must be described in quantum mechanics. (w) explain why the energy and momentum are quantised in units of h' and h, respectively. q 1(c) [40 marks] an electron is confined to a one-dimensional potential-energy well of width 7 x 10-10 m that has infinitely high sides. the permitted energy levels of the electron are given by the expression: n²h² 5 8m. l2 n = 1,2,3,4, (i) calculate the energy of the n = 1, 2 and 3 energy levels. (ii) calculate the wavelength of the electromagnetic wave required to excite the electron from the n = 1 to n = 2 energy level. me = 9.11 x 10-31 kg h = 6.626 x 10-34 js c = 2.9979 x 108 m s.1 1 j = 1 kg m2 s 2 [end of question 1]