Q7. A 2py hydrogen atomc orbital is given by 2py re-r/2 sin 0 sin p 4V2n Show that 2py is normalized, i.e., OO 2TC r2 dr sin 0 de - do vzpy = 1 0 O Q8. Show that the two functions fi (r, 0) = e- cos 0 and f2(r, 0) = (2 -r)e-/2 cos 0 are orthogonal overall all space (in other words, over all possible values of r, 0, and p)