A free neutron decays into a proton but a free proton does not decay into neutron. This is because

For hydrogen atom, ${\lambda }_1$ and ${\lambda }_2$ are the wavelengths corresponding to the transitions $1$ and $2$ respectively as shown in figure. The ratio of ${\lambda }_1$ and ${\lambda }_2$ is $\frac{x}{32}$. The value of $x$ is ______.

An electron of a hydrogen like atom, having $Z = 4$, jumps from $4^{th}$ energy state to $2^{nd}$ energy state, The energy released in this process, will be: (Given $Rch = 13.6 eV$)

Where $R =$ Rydberg

constant $c =$Speed of light in vacuum

$h =$ Planck's constant