The index of refraction of the substance is approximately 1.079.
The index of refraction can be determined using Snell's law, which relates the angle of incidence and the angle of refraction to the refractive indices of the two media involved.
Snell's law is given as:
n1 sin(i) = n2 sin(r)
In this case, the angle of incidence (i) is given as 45 degrees and the angle of refraction (r) is given as 40.3 degrees.
We need to determine the index of refraction (n2) of the unknown substance.
Using the formula with the given values, we can solve for n2:
n2 = n1 sin(i) / sin(r)
Substituting the values, we have:
n2 = 1 sin(45) / sin(40.3)
n2 = 1 * 0.707 / 0.656
n2 = 1.079
Therefore, the index of refraction of the substance is approximately 1.079.
The probable question may be:
Angle in degrees
incident angle(i) Refractive angle(r)
5 4.1663
10 8.3228
15 12.4594
20 16.5650
25 20.6273
30 24.6322
35 28.5629
40 32.3993
45 36.1167
50 39.6847
Determine the index of refraction