For the first excited state describing an electron in an, Physics

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For the first excited state describing an electron in an

For the first excited state describing an electron in an infinite box of length L = 0.1 nm:

A. Normalize the wave function

B. Discover the energy of the state.

C. What is the probability of finding the electron among x = 0and x = 0.025 nm? among 0.0375 and 0.0625 nm ? (Note those ranges are 0 - L/4 and 3L/8 – 5L/8).

D. What is the average position of the electron?

E. What is the average momentum of the electron?

F. Discover (p^2) for the electron and compare that with result B. Does it make sense?

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