Question

THE REFRACTIVE INDEX OF ALCOHOL 1.36 AND THE REFRACTIVE INDEX OF KEROSENE IS 1.44.FIND THE RELATIVE REFRACTIVE INDEX OF ALCOHOL WITH RESPECT TO KEROSENE

Answer 1

Answer:-

The refractive index of alcohol = 1.36

The refractive index of kerosene = 1.44

Formula:

$\mapsto{\boxed{\bf{n_{21}=\dfrac{Speed\:of\:light\:in\:medium\:1}{Speed\:of\:light\:in\:medium\:2}}}}$

So, The relative refractive index of alcohol with respect to kerosene:

$\mapsto\sf{\dfrac{1.36}{1.44}}$

$\mapsto\sf{\dfrac{136}{144}}$

$\mapsto\bf{\underline{0.966\approx 1}}$

$\rule{200}2$

Refractive Index is how much the light ray bends when it passes from one medium to the other.

Some formulas:-

$\mapsto{\bf{n_{21}=\dfrac{Speed\:of\:light\:in\:medium\:1}{Speed\:of\:light\:in\:medium\:2}}}$

$\mapsto{\bf{n_{12}=\dfrac{Speed\:of\:light\:in\:medium\:2}{Speed\:of\:light\:in\:medium\:1}}}$

$\mapsto{\bf{n=\dfrac{Speed\:of\:light\:in\:vaccum}{Speed\:of\:light\:in\:medium}}}$

$\rule{200}2$

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

$\Large{\underline{\underline{\bf{Given :}}}}$

Refractive index of alcohol = 1.36

Refractive index of kerosene = 1.44

$\rule{200}{1}$

$\Large{\underline{\underline{\bf{To \: Find :}}}}$

We have to find the relative refractive index of alcohol with respect to kerosene ?

$\rule{200}{1}$

$\Large{\underline{\underline{\bf{Explanation :}}}}$

We know that,

$\small{\implies{\boxed{\boxed{\sf{Relative \: Refractive \: index = \frac{Speed \: of \: light \: in \: Medium \: 1}{Speed \: of \: light \: in \: Medium \: 2}}}}}}$

$\bf{\dag \: \: \: Put \: Values \: in \: above \: formula} \\ \\ \small{\sf{\rightarrow Relative \: Refractive \: index = \frac{1.36}{1.44}}} \\ \\ \small{\sf{\rightarrow Relative \: Refractive \: index = \frac{136}{144} \times \frac{\cancel{100}}{\cancel{100}}}} \\ \\ \small{\sf{\rightarrow Relative \: Refractive \: index = \frac{136}{144}}} \\ \\ \small{\sf{\rightarrow Relative \: Refractive \: index = </p><p>0.966}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Relative \: Refractive \: index = 1}}}}}$