In hydrogen’s characteristic spectra, each series (Lyman, Balmer, etc) has a “series limit”, where the wavelengths at one end of the series tend to “bunch up”, approaching a single limiting value.  part a: Does the infinite well have series limits? If not, why not? If so, is it at the short or long wavelength end?

I need help with the last 3.

Photons from the Balmer series of hydrogen transitions are sent through a double slit. What must be the distance between the slits such that the lowest energy Balmer transition has a first-order maximum (maximum adjacent to the central maximum) at an angle of 2.00°? Express your answer in um. Type your answer... At what angle, in degrees, would the first maximum be for the fourth-lowest energy Balmer transition photon, when sent through the slits above? Type your answer... DOD Submit

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Subject Quantum Mechanics.  Wave function normalization and superposition of solutions. Wavel functions, ψ1 and ψ2 both normalized. Find a relationship between A and B such that the superposition Aψ1 + Bψ2 is also a normalized solution. I'm having trouble with the integral of |Aψ1 + Bψ2|2 dx.   Thank you!

Use the Rydberg equation, to calculate the frequency (in s–1), of the Balmer series line for hydrogen where nouter = 3 and ninner = 2.  First, use the Rydberg equation to calculate delta E; use the absolute value of delta E in equation (1) to solve for the frequency.Express your answer to 3 significant figures.