Question

For a given medium, its refractive index $\left(n\right)$ and the wavelength($\lambda$) of the light passing through it are related as :

• A. $n\propto \frac{1}{\lambda }$
• B. $n\propto \lambda$
• C. $n\propto \frac{1}{{\lambda }^2}$
• D. $n\propto {\lambda }^2$

Answer 1

The correct option is A $n\propto \frac{1}{\lambda }$

We know,

$\lambda \times \nu =v$

and also

$n=\frac{c}{v}$

therefore,

n is proportional to $\frac{1}{\lambda }$