Question

The refractive index of x with respect to y is 3/2 and the refractive index of medium y with respect to z is 4/3 calculate the refractive index of medium zwith respect of x

Answer 1

X/y=3/2

y/z=4/3

Multiplying we get

x/y *y/z = x/z = 2

so z/x =1/2 is the answer

Answer 2

Given :

The refractive index of x with respect to y is 3/2 , $n_{xy}=\dfrac{3}{2}$ .

The refractive index of medium y with respect to z is 4/3 , $n_{yz}=\dfrac{4}{3}$ .

To Find :

The refractive index of medium z with respect of x i.e $n_{zx}$ .

Solution :

The refractive index of z with respect of x is given by :

$n_{zx}=n_{zy}\times n_{xy}$

Here , $n_{zy}=\dfrac{1}{n_{yz}}$

So , $n_{zx}=\dfrac{ n_{xy}}{n_{yz}}$

Putting values in above equation .

We get :

$n_{zx}=\dfrac{ 3\times 3}{2\times 4}\\\\n_{zx}=\dfrac{9}{8}$

Therefore , the refractive index of medium z with respect of x is $\dfrac{9}{8}$ .

Learn More :

Refractive Index

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