1. Water (1st medium), Air (2nd medium)
2. Diamond (1st medium) , Air (2nd medium)
Explanation:
When a light wave travels through the boundary between two mediums, it changes direction and speed. The direction of the refracted ray is given by Snell's law:
[tex]n_1 sin \theta_1 = n_2 sin \theta_2[/tex]
where
[tex]n_1, n_2[/tex] are the index of refraction of the first and second medium
[tex]\theta_1[/tex] is the angle of incidence (the angle between the incident ray and the normal to the surface, in the first medium)
[tex]\theta_2[/tex] is the angle of refraction (the angle between the refracted ray and the normal to the surface, in the second medium)
We can rewrite the equation as
[tex]\frac{n_1}{n_2}=\frac{sin \theta_2}{sin \theta_1}[/tex]
In this problem, we know that
[tex]\theta_1 = 45^{\circ}[/tex]
and the ray refracts towards the boundary, so the angle of refraction is larger than the angle of incidence:
[tex]\theta_2 > 45^{\circ}[/tex]
This means that
[tex]\frac{sin \theta_2}{sin \theta_1}>1[/tex]
And therefore
[tex]\frac{n_1}{n_2}>1[/tex]
This means that the index of refraction of the first medium must be larger than the index of refraction of the second medium. Let's have a look at the index of refraction of the materials listed:
Air 1.00
Water 1.33
Glass 1.51
Diamond 2.42
Therefore, the possible correct choices are:
1. Water (1st medium), Air (2nd medium)
2. Diamond (1st medium) , Air (2nd medium)
Learn more about refraction:
brainly.com/question/3183125
brainly.com/question/12370040
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