Question

Refractive index of glass with respect to air is 1.9. What is the refractive index of air with respect to glass

Answer 1

The refractive index of air with respect to Glass is equal to 0.526.

Given:

The refractive index of Glass with respect to air = 1.9

To Find:

The refractive index of air with respect to Glass.

Solution:

→ The refractive index of Material A with respect to Material B is equal to the refractive index of Material A divided by the refractive index of Material B.

→ In the given question:

The refractive index of Glass with respect to Air = 1.9

$\boldsymbol{\therefore Refractive\:index\:of\:Glass\:w.r.t.\:Air= \frac{Refractive\:index\:of\:Glass}{Refractive\:index\:of\:Air} }$

$\boldsymbol{\therefore Refractive\:index\:of\:Glass\:w.r.t.\:Air=1.9-Eq.(i)}$

The refractive index of Air with respect to Glass would be:

 $\boldsymbol{\therefore Refractive\:index\:of\:Air\:w.r.t.\:Glass= \frac{Refractive\:index\:of\:Air}{Refractive\:index\:of\:Glass} }$

 $\boldsymbol{\therefore Refractive\:index\:of\:Air\:w.r.t.\:Glass= \frac{1}{1.9} }\\\\\boldsymbol{\therefore Refractive\:index\:of\:Air\:w.r.t.\:Glass= 0.526 }$

Therefore the refractive index of air with respect to Glass comes out to be equal to 0.526.

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