A hydrogen atom absorbs energy and rises to the $n = 3$ state from its ground state $n = 1$. If the potential energy of the atom at its ground state is $-22\text{ eV}$, find the wavelength emitted by it when it returns to its ground state: (Take Planck's constant $= 6 \times 10^{-34}\text{ J s}$, speed of light $= 3 \times 10^8\text{ m s}^{-1}$)}