Question

The refractive index of four mediums A, B, C, and D are $1.31$,$1.65$, $1.44$, $1.50$ respectively the velocity of light is maximum in which? And how

Answer 1

Step 1: Given information.

The Refractive index of four mediums A, B, C, and D are given below :

Medium	Refractive index
A	$1.31$
B	$1.65$
C	$1.44$
D	$1.50$

Step 2: To find out.

The velocity of light is maximum in which medium? And how?

Step 3: On the basis of the question.

Now, velocity in any medium $V=\frac{c}{\mu }$

For A,
$$\begin{gathered} V=\frac{3\times {10}^8}{1.31} \\ =2.29\times {10}^{8}m/s \end{gathered}$$

For B,

$$\begin{gathered} V=\frac{3\times {10}^8}{1.65} \\ =1.81\times {10}^{8}m/s \end{gathered}$$

For C

$$\begin{gathered} V=\frac{3\times {10}^8}{1.44} \\ V=2.08\times {10}^{8}m/s \end{gathered}$$

For D

$$\begin{gathered} V=\frac{3\times {10}^8}{1.5} \\ =1.5\times {10}^{8}m/s \end{gathered}$$

Hence, A has maximum velocity because they have the least refractive index.