Question

Refractive index of Ruby with respect to air is 1.71 andrefractive index of sapphire with respect to air is 1.77. What is the refractive index of sapphire with respect to Ruby?

Answer 1

Answer:

1.03 maybe.

Explanation:

speed of light in ruby by speed of light in sapphire

Answer 2

Given :

Refractive index of ruby = 1.71

Refractive index of sapphire = 1.77

To Find :

Refractive index of sapphire with respect to ruby.

Solution :

❖ Refractive index of a medium is defined as the factor by which speed of light reduces as compared to the speed of light in vacuum.

$\dag\:\underline{\boxed{\bf{\purple{\mu=\dfrac{c}{v}=\dfrac{speed\:of\:light\:in\:vacuum}{speed\:of\:light\:in\:medium}}}}}$

More (less) refractive index implies less (more) speed of light in that medium, which therefore is called denser (rarer) medium.

♦ Refractive index of medium 1 with respect to medium 2 is given by

• $\boxed{\bf{n_{12}=\dfrac{n_1}{n_2}}}$

By substituting the given values;

$\sf:\implies\:n_{sr}=\dfrac{n_s}{n_r}$

$\sf:\implies\:n_{sr}=\dfrac{1.77}{1.71}$

$:\implies\:\underline{\boxed{\bf{\orange{n_{sr}=1.04}}}}$