In the presence of palladium on carbon (Pd/C), hydrogenation of an unsymmetrical alkyne leads to the formation of the cis-alkene via a syn-addition mechanism.
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