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 photonenergy matches the energy difference between the levels. Find the energy differencebetween the levels corresponding to n = 4 and n = 5 of this same box, and compute thewavelength of light (in m) that would cause a transition between them. What portion ofthe electromagnetic spectrum is this light?(b) For another box, suppose that this same transition (n = 4 → 5) was observed at awavelength of 232 nm. How long is this box in pm?

The problem is based on the concept of a quantum mechanical box. A quantum mechanical box, also…

Answered: Consider an electron confined to a box…

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