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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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