Treat the hydrogen atom as a one-dimensional entity of length 2a0 and determine the electron’s minimum kinetic energy
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Treat the hydrogen atom as a one-dimensional entity of length 2a0 and determine the electron’s minimum kinetic energy
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- Show that the hydrogen wave function Ψ211 is normalizedConsider an electron in two different hydrogen atoms in the quantum states n = 3 and 8 respectively.Calculate the energy of the electron in each of the different atoms.Calculate the wavelength of the third line of the Paschen series for hydrogen.
- Taking the n=3 states as a representative example, explain the relationship between the complexity of hydrogen’s standing waves in the radial direction and their complexity in the angular direction at a given value of n. What relationship would this be considered a direct relationship or inverse relationship?The lifetimes of the levels in a hydrogen atom are of the order of 10-8 s. Find the energy uncertainty of the first excited state and compare it with the energy of the state. 3 p ROAn electron is trapped in an infinitely deep one-dimensional well of width 0,251 nm. Initially the electron occupies the n=4 state. Suppose the electron jumps to the ground state with the accompanying emission of photon. What is the energy of the photon?
- An electron moves in a cube whose sides are 0.2 nm long. Find the energy values for (a) the ground state and (b) the first excited state of the electron.Compute and compare the electrostatic and gravitational forces in the classical hydrogen atom, assuming a radius 5.3 x 10-11 m.The wave function for hydrogen in the 1s state may be expressed as Psi(r) = Ae−r/a0, where A = 1/sqrt(pi*a03) Determine the probability for locating the electron between r = 0 and r = a0.