An electron confined to a one-dimensional box has energy levels given by the equation: where n is

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An electron confined to a one-dimensional box has energy levels given by the equation:En = nh/8 ml

where n is a quantum number with possible values of 1, 2, 3, c, m is the mass of the particle, and L is the length of the box.

a. Calculate the energies of the n = 1, n = 2, and n = 3 levels for an electron in a box with a length of 155 pm.

b. Calculate the wavelength of light required to make a transition from n = 1 → n = 2 from n = 2 → n = 3. In what region of the electromagnetic spectrum do these wavelengths lie?

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