An electron occupies the quantum state n=5, l=3, m= 3, m, = 1/2. Calculate the angle between the orbital angular momentum and vector and the z-axis. Give your answer in degrees and round to the nearest degree. Add your answer

A hydrogen atom has energy -1.36 × 10-19 J, and the electron can be in any one of ten different quantum states. Find the spectroscopic notation for this atom.what is the principal quantum number? What is total orbital angular momentum? What is maximum z. Direction total angular momentum? What is degeneracy ?

An electron is in an angular momentum state with /= 3. (a) What is the length of the electron's angular momen- tum vector? (b) How many different possible z compo- nents can the angular momentum vector have? List the possible z components. (c) What are the values of the angle that the L vector makes with the z axis?

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/r²