A hydrogen atom changes its state from n =3 to n =2. Due to recoil, the percentage change in the wave length of emitted light is approximately 1 ×…

A hydrogen atom changes its state from $\displaystyle \mathrm{n}=3$ to $\displaystyle \mathrm{n}=2$. Due to recoil, the percentage change in the wave length of emitted light is approximately $\displaystyle 1 \times 10^{-\mathrm{n}}$. The value of n is $\displaystyle \_\_\_\_$. [Given $\displaystyle \mathrm{Rhc}=13.6 \mathrm{eV}, \mathrm{hc}=1242 \mathrm{eV} \mathrm{nm}, \mathrm{h}=6.6 \times 10^{-34} \mathrm{~J} \mathrm{~s}$ mass of the hydrogenatom $\displaystyle =1.6 \times 10^{-27} \mathrm{~kg}$ ]