A hydrogen atom is in a magnetic field and has been excited to the 3s orbital state which has the wave function( ) 2 300 0 32 18 27A e = + where = r/a0. Using this, determine the following prop- erties of the atom in this orbital state: (a) the normalization constant A0 (b) the energy E3, expressed in terms of the Rydberg Energy RE (see below) (c) the most likely radius max (d) the expectation value of (e) the expectation value of 1/