1) The radial probability density that an electron is at a distance r from the center of ahydrogen atom is given by: ( )a) Find the value of C (in terms of R) which gives a normalized distribution.b) Find the mean radiusand the standard deviation√.2) A particle moving in one dimension is in a stationary state whose wave function is{ ()}Where C and a are real constants.a) Is ( ) a physically acceptable wave function? Comment explicitly on therequired features.b) Find C so that ( ) is normalized.c) Find the classically allowed region. (Hint: consider( ))