Explanation:
We know, refractive index of crystal w.r.t oil,
\({\mu _\infty } = \frac{{{\mu _0}}}{{{\mu _c}}} = \frac{{{\rm{speed}}\,{\rm{of}}\,{\rm{light}}\,{\rm{in}}\,{\rm{oil}}}}{{{\rm{speed}}\,{\rm{of}}\,{\rm{light}}\,{\rm{in}}\,{\rm{crystal}}}}\)
where \({\mu _c}\) = absolute refractive index of crystal w.r.t vacuum
and \({\mu _0} = \) absolute refractive index of oil w.r.t vacuum
\({\mu _\infty } = \frac{{1.68}}{{1.2}} = \frac{7}{5} = \frac{{{\rm{speed}}\,{\rm{in}}\,{\rm{oil}}}}{{{\rm{speed}}\,{\rm{in}}\,{\rm{crystal}}}}\)
fractional change in velocity
when light travel from oil to crystal
\( = \frac{{{\rm{speed}}\,{\rm{in}}\,{\rm{crystal}}}}{{{\rm{speed}}\,{\rm{in}}\,{\rm{oil}}}} = \frac{5}{7}\)