Question

What is the value of the angle of refraction of light from a crown glass slab when the angle of incidence is 50°? The slab has a refractive index of 1.52 and the first medium is air.

Answer 1

The angle of refraction is $30.3^{\circ}$

Explanation:

Refraction is a wave phenomenon that occurs when a light wave passes through the interface between two mediums. When this occurs, the speed and the direction of the light wave change.

We can find the final direction of the refracted light in this problem by applying Snell's law:

$n_i sin \theta_i = n_r sin \theta_r$

where

$n_i, n_r$ are the index of refraction in the first and second medium, respectively

$\theta_i, \theta_r$ are the angle of incidence and refraction, respectively

In this problem, we have:

$n_i = 1.00$ (the first medium is air, which has a refractive index of 1.00)

$n_r = 1.52$ (index of refraction of crown glass)

$\theta=50^{\circ}$ is the angle of incidence

Solving for $\theta_r$, we find the angle of refraction

$\theta_r = sin^{-1}(\frac{n_i sin \theta_i}{n_r})=sin^{-1}(\frac{(1.00)(sin 50^{\circ})}{1.52})=30.3^{\circ}$

Learn more about refraction and other wave phenomena:

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