Write down the wavefunctions of the first 5 states of the hydrogen atom, 00, 200, b210, v21+1. for every state find whether it is even or odd in , y, and z. you may use 2 r sin cos y=rsin0sin zr cos (d) consider a hydrogen atom in an exited state n = 2. the possibility exists that after a certain amount of time, it will spontaneously emit a photon and decay back to the state 00 the rate a of this emission is 3 3teohc where p is the electric dipole moment: p q (b|r |be), and wo the lifetime of the 21m) states by calculating aj21m)+|100) hint: remember that (ee-ea)/h. find ei e-io ei ei cos sin and 2i 2 dr n! /a"1