How is the direction of light changed when it travels from an optically denser medium to an optically rarer medium????? please answer it fast......

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pragya86

Middle School

How is the direction of light changed when it travels from an optically denser medium to an optically rarer medium????? please answer it fast......

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skyluke89

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Answer:
The light bends away from the normal
Explanation:
We can solve the problem by using Snell's law:
$n_1 sin \theta_1 = n_2 sin \theta_2$
where:
$n_1$ is the index of refraction of the first medium
$n_2$ is the index of refraction of the second medium
$\theta_1$ is the angle of incidence (angle between the incoming ray and the normal to the interface)
$\theta_2$ is the angle of refraction (angle between the outcoming ray and the normal to the interface)
We can rearrange the equation as
$sin \theta_2 = \frac{n_1}{n_2}sin \theta_1$
In this problem, light travels from an optically denser medium to an optically rarer medium, so
$n_1 > n_2$
Therefore, the term $\frac{n_1}{n_2}$ is greater than 1, so
$sin \theta_2 > sin \theta_1\\\rightarrow \theta_2 > \theta_1$
which means that the angle of refraction is greater than the angle of incidence, and so the light will bend away from the normal.
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