When deriving the quantum mechanical model of Hydrogen from the Schrodinger equation, we ran into some difficult differential equations. The solution to the radial part of the Hydrogen wave-function for n=1, 1=0 is: Ris(r)=Ae(-r/aB) where as=(h24TEo/mee2) = 5.29 x 10-11 m is the Bohr radius a) Show that this is a solution to the radial equation with the appropriate quantum numbers: d2/dr2(rR) = 2me/h2[(-e2/4nor) + (1(1+1)h2/2mer2) - E1] (rR). You can use EN= - (me((1/4To) * e2)2)/ 2h2n2) You may need to use: d/dx(f(g(x)) = f' (g(x))*g'(x) and d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x). b) This radial wavefunction is normalized if A = 1/Vnag3 . Explain what it means for the wave-function to be normalized. You do not need to do the normalization. c) Sketch Ris (r)