A monochromatic light of frequency $5 imes 10^{14} \mathrm{~Hz}$ travelling through air, is incide

Question

A monochromatic light of frequency $5 	imes 10^{14} \mathrm{~Hz}$ travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be\

Professor PC Thomas Classes · Answer

(b) : $v=5 	imes 10^{14} \mathrm{~Hz}, \mu=2$ $$ c=3 	imes 10^{8} \mathrm{~m} / \mathrm{s} $$ Wavelength in air, $\lambda_{	ext {air }}=\frac{c}{v}=\frac{3 	imes 10^{8}}{5 	imes 10^{14}}$ $$ \begin{aligned} & \lambda_{	ext {air }}=\frac{3}{5} 	imes 10^{-6} \mathrm{~m} \ & \lambda_{	ext {medium }}=\frac{\lambda_{	ext {air }}}{\mu}=\frac{3 	imes 10^{-6}}{5 	imes 2} \ & \lambda_{	ext {medium }}=3 	imes 10^{-7} \mathrm{~m}=300 \mathrm{~nm} \end{aligned} $$