Question

Speed of light in water and glass is 2.24×10^8m/s and 2×10^8m/s. What is the refractive index of water with respect to glass​

Answer 1

Refractive index of glass with respect to water =speed of light in glass / speed of light in water

=(2×10^8)/(2.24×10^8)

=25/28

For refractive index of water with respect to glass, it is 28/25

Hope it helped u☺️☺️☺️

Answer 2

$\textbf{\huge\underline{\underline\red{solution} : - }} \\ \\ \textit{ \tt{The refractive index of a medium }} \\ \textit{ \tt{can be calculated using the }}\\ \textit{ \tt{following formula:}}\\ \textit{ \tt{</p><p></p><p> \red{ => n }}} \tt \red{= \frac{c}{v} }\\ \textit{ \tt{where}}\\ \textit{ \tt{ \red{n }is the refractive index of }}\\ \textit{ \tt{the medium}}.\\ \textit{ \tt{ \red{c }is the velocity of light }}\\ \textit{ \tt{in\: glass.}} \\ \textit{ \tt{</p><p></p><p> \red{v} is the velocity of light }}\\ \textit{ \tt{in the water.}} \\ \\ \tt \underline\red{given } : - </p><p> \\ \\ \tt \red{c } \: of \: glass = 2 × {10}^{8} m/s \\ \tt \red{v} \: of \: water= 2.24× {10}^{8} m/s \\ \tt \red{n} \: is \: refractive \: index = \: ? \\ \\ \tt \purple {by \: formula} \\ \tt \red{ = > n = \frac{c}{v } } \\ \\ \tt \purple{= > n = \frac{ 2 × \cancel{{10}^{8}} }{ 2.24 × \cancel{{10}^{8}} } = \frac{2}{2.24} = \frac{1}{1.12} = 0.892857143=0.892} \\ \\ \sf \blue {hence \: refractive \: index \: of \: water } \\ \tt \blue{with \: respect \: to \: glass\red{ = \purple{0.892} }} \\ \\ \fcolorbox{red}{aqua}{i \: hope \: it \: helps \: you.}$