The solution to the Schrodinger equation for the hydrogen atom is:
Ψnlm=A(nar)le−r/naYlm(θϕ)v(nar)
where the function v(x) can be expressed in terms of the polynomials of Laguerre as:
a) Use the known values of the mass and charge of the electron and the Plank's constant to express the energy of the ground state of the atom of hydrogen in units of electron-volts (eV): 1eV = 1.6 × 10−19J
b) Find the wavelength of a photon emitted when an electron decays from the second excited state n = 3 to the first n = 2.