Answer:
The diagram shows refraction, and medium 1 is less dense than medium 2.
Explanation:
- Reflection occurs when a light ray hits a surface and bounces back into the same medium
- Refraction occurs when a light ray crosses the interface between two different mediums, changing direction
From the diagram, we clearly see that this is a case of refraction, since the light ray crosses the boundary between two mediums.
The direction of a light ray in refraction is given by Snell's Law:
(1)
where
n1 and n2 are the index of refraction of the two mediums: a higher index of refraction means a higher density for the medium
are the angles of the light ray in medium 1 and medium 2, measured with respect to the normal to the interface
We can rewrite eq. (1) as
![\frac{n_1}{n_2}=\frac{sin \theta_2}{sin \theta_1}](https://tex.z-dn.net/?f=%5Cfrac%7Bn_1%7D%7Bn_2%7D%3D%5Cfrac%7Bsin%20%5Ctheta_2%7D%7Bsin%20%5Ctheta_1%7D)
From the diagram, we see that
![\theta_1 > \theta_2](https://tex.z-dn.net/?f=%5Ctheta_1%20%3E%20%5Ctheta_2)
so
![sin \theta_1 > sin \theta_2](https://tex.z-dn.net/?f=sin%20%5Ctheta_1%20%3E%20sin%20%5Ctheta_2)
and so
![\frac{sin \theta_2}{sin \theta_1}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20%5Ctheta_2%7D%7Bsin%20%5Ctheta_1%7D%3C1)
which means
![\frac{n_1}{n_2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn_1%7D%7Bn_2%7D%3C1%5C%5Cn_1%20%3C%20n_2)
so, medium 2 is denser than medium 1, and the correct answer is
The diagram shows refraction, and medium 1 is less dense than medium 2.