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An incident ray strikes a piece of diamond at an angle of 40. 5 degrees. The index of refraction of air is 1. 0003 and the index of the refraction of diamond is 2. 42. What is the angle of refraction? degrees.

Sagot :

The angle of refraction is 15.6 deg.

We have given that An incident ray strikes a piece of diamond at an angle of 40. 5 degrees.

What happen when light passes through one medium to another medium?

When a ray of light passes from medium 1 to medium 2, the refractive index of medium 2 with respect to 1 is the ratio of the absolute refractive index of medium 2 and medium 1

[tex]1n_{2}=\frac{^{n_{1}}}{n_{2}}[/tex]

When light passes from air into diamond, with the given values of refractive indices,

[tex]an_{d}=\frac{^{n_{d}}}{n_{a}}=\frac{2.42}{1.0003} =2.4193[/tex]

According to Snell's law,

[tex]an_{d}=\frac{^{sini}}{sin r}[/tex]

[tex]< br/ > sinr=an_{d}=\frac{^{sini}}{sin r}=\frac{sin(40.5)}{2.41930} =0.2684[/tex]

[tex]< br/ > r=arcsin(0.2684)=15.57 deg[/tex]

The angle of refraction is 15.6 deg

To learn more about the angle of reflection visit:

https://brainly.com/question/18772331

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