Question

An incident ray strikes a boundary at a 72. 5-degree angle, resulting in an angle of refraction of 39. 6 degrees. The index of refraction of the first medium is 1. 3. What is medium 1? What is medium 2?.

Answer 1

Refractive index is the ratio of sin(i) to sin (r). Medium 2 is sodium chloride with a refractive index of 1.54.

What is Refractive Index?

A material's refractive index (sometimes called refraction index or index of refraction) is a dimensionless quantity that specifies how quickly light passes through it.

As we know that the Refractive index is the ratio of sin(i) to sin (r), and it can be represented as,

$\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}$

where

i is the incident angle and

r is the refraction angle.

Now, the refractive index can be written as for the given medium can be written as,

$\rm Refractive\ Index = \dfrac{Sin(i)}{Sin(r)}$

$\rm Refractive\ Index = \dfrac{Sin(79.5)}{Sin(39.6)}=1.542$

Now, if we take the ratio of the refractive index of the two mediums, then

$\rm 1.542 = \dfrac{n}{1.0003}\\\\n = 1.542 \times 1.0003\\\\n= 1.5425\ \approx 1.54$

Hence, Medium 2 is sodium chloride with a refractive index of 1.54.

Learn more about Refractive Index:

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