How is the refractive index of a medium

Question:

How is the refractive index of a medium related to the speed of light ?

Obtain an expression for refractive index of a medium with respect to another in terms of speed of light in these two media.

Solution:

Refractive index of a medium

$=\frac{\text { speed of light in air }}{\text { speed of light in medium }}$

i.e. $n=\frac{c}{v}$

For medium $\mathrm{I}, n_{1}=\frac{c}{v_{1}}$

For medium II, $n_{2}=\frac{c}{v_{2}}$

$\therefore n_{21}=\frac{n_{2}}{n_{1}}=\frac{c}{v_{2}} \times \frac{v_{1}}{c}=\frac{v_{1}}{v_{2}}$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now