Light travels from crown glass (n=1:52) into air (n=1.00). The angle of refraction in
air is 60°. What is the angle of incidence in glass?

Respuesta :

The angle of incidence in glass is [tex]34.7^{\circ}[/tex]

Explanation:

We can solve this problem by applying Snell's law of refraction, which states that:

[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, respectively

[tex]\theta_1, \theta_2[/tex] are the angle of incidence and refraction, respectively

In this problem we have:

[tex]n_1 = 1.52[/tex] is the index of refraction of the first medium (glass)

[tex]n_2 = 1.00[/tex] is the index of refraction of the second medium (air)

[tex]\theta_2 =60^{\circ}[/tex] is the angle of refraction in glass

Solving for [tex]\theta_i[/tex], we find the angle of incidence:

[tex]\theta_1 = sin^{-1} (\frac{n_2 sin \theta_2}{n_1})=\sin^{-1}(\frac{(1.00)(sin 60^{\circ})}{1.52})=34.7^{\circ}[/tex]

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