Question

3. Refractive index of diamond with respect to glass is 1.6 and absolute refractive index of glass is 1.5. Find out
the absolute refractive index of diamond.
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Answer 1

$\huge{\underline{\tt{\red{Answer-}}}}$

2.4

$\huge{\underline{\tt{\blue{Explanation-}}}}$

Absolute refractive index of glass = 1.5  

Refractive index of  diamond with respect to glass = $\dfrac{\mu \ diamond }{ \mu \ glass}$ = 1.6

μ diamond = μglass x 1.6 = 1.5 x 1.6 = 2.4

absolute refractive index of diamond = μ diamond / μ air  =2.4

Answer 2

Given :

➳ RI of diamond wrt glass = 1.6

➳ RI of glass = 1.5

To Find :

➳ RI of diamond.

Solution :

⇒ Refractive infex of medium is defined as the ratio of speed of light in vacuum to the speed of light in medium.

$\bigstar\:\underline{\boxed{\bf{n=\dfrac{c}{v}=\dfrac{speed\:of\:light\:in\:vacuum}{speed\:of\:light\:in\:medium}}}}$

⇒ It is an unitless as well as dimensionless quantity.

⇒ Refractive index of medium A wrt medium B is given by

$\bigstar\:\underline{\boxed{\bf{n_{AB}=\dfrac{n_A}{n_B}}}}$

⇒ Refractive index of diamond wrt glass is given by

$\implies\sf\:n_{dg}=\dfrac{n_d}{n_g}\\ \\ \implies\sf\:1.6=\dfrac{n_d}{1.5}\\ \\ \implies\sf\:n_d=1.6\times 1.5\\ \\ \implies\boxed{\bf{n_d=2.4}}$