Find the expectation value of r for the 2s and 3p wavefunctions of the hydrogenic atom.
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Find the expectation value of r for the 2s and 3p wavefunctions of the hydrogenic atom.
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- A particle has a wave function y(r)= Ne¯u , where N and a are real and positive constants. a) Determine the normalization value N. b) Find the average value of y c) Obtain the dispersion (Ar)? Note, you can use dz =r'(n+1) = n!da=do= 4) For the following d hydrogenic wavefunctions, find the magnitude and the z component of the orbital angular momentum. You can give your results in terms of h. اور اہل = 1 √2 16t i√2 i√2 Final (d₁2+ d_2) = (165) R₁2(r) (x²- y²)/r² 151/2 1/2 R₁2(r) (3cos²0-1)=(16) R2(1)(32²-7²)/² 1/2 (d+2-d-2)= (15) Rm2(7)xy/² =(d. 1+d-1)= (d_1-d-1)=- 1/2 1/2 (15) R₁2 (r)yz/r² 10 June 2011 1/2 (45) * Ru2(1) 2x/r²https://www.compadre.org/PQP/applications/prob14_6.cfm The animation depicts two 100-gram spheres connected by a spring with k = 200 N/m (position given in meters and time is given in seconds). Determine the quantum number associated with the angular momentum state shown.
- For an infinite potential well of length L, determine the difference in probability that a particle might be found between x = 0.25L and x = 0.75L between the n = 3 state and the n = 5 states.Calculate the probability that for the 1s state the electron lies between r and r+drCompute and compare the electrostatic and gravitational forces in the classical hydrogen atom, assuming a radius 5.3 x 10-11 m.a 4. 00, -Vo, V(z) = 16a 0, Use the WKB approximation to determine the minimum value that V must have in order for this potential to allow for a bound state.The wave function for the ground state of hydrogen is given by 100(0,0) = Ae¯¯r/ª Find the constant A that will normalize this wave func- tion over all space.In a particular state of the hydrogen atom, the angle between the angular momentum vector L →and the z-axis is u = 26.6°. If this is the smallest angle for this particular value of the orbital quantum number l, what is l?An electron is in an infinite potential well of width 364 pm, and is in the normalised superposition state Ψ=cos(θ) ψ5-sin(θ) i ψ8. If the value of θ is -1.03 radians, what is the expectation value of energy, in eV, of the electron?