Mathematically prove that the electron's energy is negative and show the steps in details
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- Use de Broglie's hypothesis to determine the speed of the electron in a hydrogen atom when in the n = 3 orbit, whose radius is 4.8x10-10 m. Three de Broglie wavelengths should fit around the n = 3 orbit. Express your answer with the appropriate units.I need the answer as soon as possibleAn electron is trapped inside a 1.00 nm potential well. Find the wavelength of the photons when the electron makes a transition from n =4 to n= 1.
- Prove the angular momentum of a single electron..Consider a hydrogen-like atom such as He+ or Li++ that has a single electron outside a nucleus of charge Ze. (a) Rewrite the Schrödinger equation with the new Coulomb potential. (b) What change does this new potential have on the separation of variables? (c) Will the radial wave functions be affected? Explain. (d) Will the spherical harmonics be affected? Explain.A Proton is confined to move in a one- dimensional bux of length 0.410 m a) Find the lowest possible energy of the proton. Note: Answer must be in ev