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A hydrogen atom emits a photon when its electron falls from its 3rd excited state (?=4)...

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Physics

  1. A hydrogen atom emits a photon when its electron falls from its3rd excited state (?=4) to its first excited state (?=2).Another electron in a box with sides of infinite potentialabsorbs the photon and jumps from the ground state (?=1) to the 5thexcited state (?=6).

a. [2] What is the wavelength of theemitted photon? (Calculate this, don’t just look it up)

b. [3] What is the length of thebox?

c. [3] Using the fact that∫sin2(??)??=(?2−sin(2??)4?), find the probability thatwe will find the electron in the first quarter of the box. How doesthis compare to the probability of finding the electron in thatquarter of the box before the absorption of the photon (when westill had ?=1)? How do these compare to the classic probability offinding the electron in that quarter of the box?

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