Question

The sine of the incident angle is 0.217; the sine of the refracted angle is 0.173. Calculate the index of refraction.

n =

Answer 1

n = 1.25

Step-by-step explanation:

Answer 2

1.3.

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine of incident angle (Sine i) = 0.217

Sine of refracted angle (Sine r) = 0.173

Refractive index (n) =?

From snell's law, the Refractive index is simply defined as the ratio of the sine of the incident angle to sine of the refracted angle. Mathematically, it is expressed as:

Refractive index = Sine of incident angle / sine of refracted angle

n = Sine i / Sine r

With the above formula, we can obtain index of refraction as shown below:

Sine of incident angle (Sine i) = 0.217

Sine of refracted angle (Sine r) = 0.173

Refractive index (n) =?

n = Sine i / Sine r

n = 0.217 / 0.173

n = 1.3

Thus, the index of refraction is 1.3.