Physics > Refraction of Light > 1.0 Introduction

  Refraction of Light
    1.0 Introduction
    2.0 Laws of refraction
    3.0 Apparent shift of an object
    4.0 Thin lenses
    5.0 Lens makers formula & Other Functions of lens.
    6.0 Total internal reflection
    7.0 Refraction through prism
    8.0 Scattering of light
    9.0 Optical instruments

1.1 Refractive index of light
Refractive index $\mu $ of a medium is defined as the ratio of the speed of light in vaccum to the speed of light in medium.

Mathematically it can be written as, $$\begin{equation} \begin{aligned} \mu = \frac{{{\text{Speed of light in vaccum}}}}{{{\text{Speed of light in medium}}}} \\ \mu = \frac{c}{v} \\\end{aligned} \end{equation} $$
So, $$\mu = \frac{c}{v}$$ or $$\mu \propto \frac{1}{v}$$

Note:

  • During refraction, frequency of light ray remains constant.
  • As we know, $$c = {\lambda _c}\;f$$ So, $$v = \lambda f$$ or $$\mu = \frac{{{\lambda _c}}}{\lambda }$$
where,
${\lambda _c}$: wavelength of light in vaccum
$\lambda $: wavelength of light in medium

Also, $$\mu \propto \frac{1}{\lambda }$$
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