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An electron confined to a one-dimensional box has energy levels given by the equation E_{n} = n^{2}h^{2}/8mL^{2}, where n is a quantum number with possible values of 1, 2, 3, …, m is the mass of the particle, and L is the length of the box. Calculate the wavelength of light required to make a transition from n = 1 → n = 2 and from n = 2 → n = 3.

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