Question

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Q.3. A ray of light with wavelength 5000 nm travelling from a medium with refractive index $\left(\frac{3}{2}\right)$ suffers partial reflection and refraction in a medium of refractive index $\left(\frac{4}{3}\right)$. Find the wavelength of reflected and refracted ray.

Answer 1

Dear Student,


$$\begin{gathered} \lambda =5000*{10}^{-9}m,\mu =1.5,\mu \text{'}=4/3 \\ c=\lambda f \\ ifthespeedoflightdecreasesthewavelengthalsodecreasesasthefrequencyremaincons\tan t. \\ wavelengthoftherefractedray\lambda \text{'}=\frac{\mu 5000*{10}^{-9}m}{\mu \text{'}}=\frac{\left(1.5\right)5000*{10}^{-9}m}{\left({\displaystyle \frac{4}{3}}\right)}=5639nm \\ wavelengthofthereflectedray=5000nm \\ Regards \end{gathered}$$