Problem: An electron confined to a one-dimensional box has energy levels given by the equation En = n2h2/8mL2, 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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An electron confined to a one-dimensional box has energy levels given by the equation En = n2h2/8mL2, 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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Our tutors have indicated that to solve this problem you will need to apply the Dimensional Boxes concept. If you need more Dimensional Boxes practice, you can also practice Dimensional Boxes practice problems.