$\left[{\left({\mathrm{Ph}}_3\mathrm{P}\right)}_3\mathrm{RhCl}\right]$ is a familiar catalyst used in

Given:- It is given to find the use of the catalyst $\left[{\left({\mathrm{Ph}}_3\mathrm{P}\right)}_3\mathrm{RhCl}\right]$.

Explanation:-

The Catalyst of Wilkinson $\left[\mathrm{Rh}{\left({\mathrm{Ph}}_3\mathrm{P}\right)}_3\right]\mathrm{Cl}$ is employed to hydrogenate alkenes. Rhodium can reduce alkenes with precision by forming a 6-coordinate complex. The Wilkinson's catalyst selectively reduces the least-hindered double bond while being unable to reduce double bonds or carbon-oxygen double bonds.

Hence, (B) Hydrogenation of Alkenes is the right response.