2. By using the fact that the Laguerre polynomials are orthogonal with re- spect to rke-2, i.e. 1 e * L. (2.) L}, (2)da (n + k)! Smn n! (1) where Omn is the Kronecker symbol, find the average inverse distance {r-1) of the electron to the nucleus in the hydrogen atom. By using the expression derived, inspect the cases n = 1,1 = 0 and n = 2,1 = 0. (2p) 2. By using the fact that the Laguerre polynomials are orthogonal with re- spect to rke-2, i.e. 1 e * L. (2.) L}, (2)da (n + k)! Smn n! (1) where Omn is the Kronecker symbol, find the average inverse distance {r-1) of the electron to the nucleus in the hydrogen atom. By using the expression derived, inspect the cases n = 1,1 = 0 and n = 2,1 = 0. (2p)