Question

refractive indices of two media A and B are 2.25 and 1.25 the ratio of speed of light in medium a to speed of the light in mmedium B

Answer 1

Answer:

1.25:2.25 is the answer

Answer 2

Answer:

See below.

Explanation:

We are given,

$\begin{aligned}n_{A}=2.25\\ n_{B}=1.25\end{aligned}$

The product of the refractive index of a medium and the velocity of light in that medium is a constant which equals the speed of light,

$\begin{aligned}n_{A}v_{A}=c\\ n_{B}v_{B}=c\end{aligned}$

Equating both the above equations,

$\begin{aligned}n_{A}v_{A}^{\cdot }=n_{B}v_{B}\\ \dfrac{v_{A}}{v_{B}}=\dfrac{n_{B}}{n_{A}}\end{aligned}$

On solving,

$\dfrac{v_{A}}{v_{B}}=\dfrac{1.25}{2.25}=\dfrac{5}{25}=\dfrac{1}{5}$