Question

If a liquid has a refractive index of 1.5323, than the speed of light through that liquid is _______ x 108 m/s. Type your numerical answer rounded to the 2nd decimal place (i.e. if you calculate 4.56792 x 108 m/s, you would type 4.57).

Answer 1

Answer:

The speed of the light through that liquid is $v=1.95\times 10^8\ m/s$.

Explanation:

Given that,

The refractive index of the liquid, $\mu=1.5323$

We need to find the speed of light through that liquid. Let the speed of light in liquid is v. The relation between the refractive index and the speed of light in the medium. So,

$\mu=\dfrac{c}{v}$

$v=\dfrac{c}{\mu}$

$v=\dfrac{3\times 10^8\ m/s}{1.5323}$

$v=1.95\times 10^8\ m/s$

So, the speed of the light through that liquid is $v=1.95\times 10^8\ m/s$. Hence, this is the required solution.