Question

write refractive index of a medium placed in air in terms of 1)velocity of light in air and in medium 1)wavelength of light in air and medium

Answer 1

Dear student

$$\begin{gathered} Refractiveindexofamediumis \\ \mu =\frac{velocityoflightinair}{velocityoflightinthemedium}=\frac{c}{v} \\ nowweknowthatfrequencyofwavedoesnotdependonthemediumsoitwillremainsameinairandthemediumsameasf \\ c=f\times {\lambda }_{air}...1 \\ v=f\times {\lambda }_{medium}...2 \\ \frac{c}{v}=\frac{{\lambda }_{air}}{{\lambda }_{medium}} \\ \mu =\frac{c}{v}=\frac{{\lambda }_{air}}{{\lambda }_{medium}} \\ Regards \end{gathered}$$