Question

refractive index of x with respect to y is2/3and refractive index of y with respect to z is 4/3 what will be the refractive index of a with respect to x .If the speed of the light in medium x is3×10^8m/s find the speed of light in medium y​

Answer 1

$\huge{ \underline{ \mathfrak{ \green{ \: Answer}}}}$

$^{x}μ_{y}$ × $^{y}μ_{z}$ × $^{z}μ_x$ = 1

$\frac{2}{3} × \frac{4}{3} × ^{z}μ_x$ = 1

$\frac{8}{9}$ × $^{z}μ_x$= 1

$^{z}μ_x$ = $\frac{9}{8}$

Thus refractive index of medium z with respect to medium x = $\frac{9}{8}$

$^{x}μ_y$ = $\frac{2}{3}$

$\displaystyle{\frac{Speed \:of\: light\: in \:medium\: x}{Speed \:of \:light\: in\: medium\: y}}$ = $\frac{2}{3}$

$\displaystyle{\frac{3 × 10^8}{Speed\: of\: light\: in \:medium \:y }}$ = $\frac{2}{3}$

Speed of light in medium y = 4.5 × $10^8$