question_answer

What is speed of light in diamond of refractive index 2.4, if the velocity of light in air is\[3\times {{10}^{8}}m/s\]?

Answer:

                We know that : \[\text{ }\!\!\mu\!\!\text{ =}\frac{\text{Speed of light in air}}{\text{Speed of light in medium}}\] \[\Rightarrow \] \[2.4=\frac{3\times {{10}^{8}}}{Speed\text{ }of\text{ }light\text{ }in\text{ }medium}\] \[\Rightarrow \] \[\text{Speed of light in medium=}\frac{\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{8}}}}{\text{2}\text{.4}}\]                                                 \[=1.25\times {{10}^{8}}m/s.\]