For hydrogen atom, λ_1 and λ_2 are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of λ_1 and λ_2…

For hydrogen atom, $\displaystyle \lambda_1$ and $\displaystyle \lambda_2$ are the wavelengths corresponding to the transitions $\displaystyle 1$ and $\displaystyle 2$ respectively as shown in figure. The ratio of $\displaystyle \lambda_1$ and $\displaystyle \lambda_2$ is $\displaystyle \frac{x}{32}$. The value of $\displaystyle x$ is $\displaystyle \_\_\_\_$.