A hydrogen atom changes its state from \( n = 3 \) to \( n = 2 \). Due to recoil, the percentage change in the wavelength of emitted light is approximately \( 1 \times 10^{-n} \). The value of \( n \) is _______________.
[Given \( R h c = 13.6 \, \text{eV} \), \( h c = 1242 \, \text{eV}\,\text{nm} \), \( h = 6.6 \times 10^{-34} \, \text{J}\,\text{s} \), mass of the hydrogen atom \( = 1.6 \times 10^{-27} \, \text{kg} \)]
