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Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 →→ 5) was observed at a wavelength of 232 nm. How long is this box in pm?

Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 →→ 5) was observed at a wavelength of 232 nm. How long is this box in pm?

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Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 → 5) was observed at a wavelength of 232 nm. How long is this box in pm?
Transcribed Image Text:Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels can be induced by absorption of light whose photon energy matches the energy difference between the levels. Find the energy difference between the levels corresponding to n = 4 and n = 5 of this same box, and compute the wavelength of light (in m) that would cause a transition between them. What portion of the electromagnetic spectrum is this light? (b) For another box, suppose that this same transition (n = 4 → 5) was observed at a wavelength of 232 nm. How long is this box in pm?
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