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You have an incident ray from a medium with a n1=1, through a medium with a n2 =3.325. If the incident angle is equal to 0.478 rad, what is the refraction angle? (Answer is in radians)

Respuesta :

AMB000

Answer:

0.139 rad

Explanation:

We use Snell's law [tex]n_1sin\theta_1=n_2sin\theta_2[/tex], where if [tex]n_1[/tex] is the refractive index of the medium containing the incident ray, [tex]\theta_1[/tex] would be the incident angle, and if [tex]n_2[/tex] is the refractive index of the medium containing the refracted ray, [tex]\theta_2[/tex] would be the refraction angle, which we want, so we do:

[tex]sin\theta_2=\frac{n_1}{n_2}sin\theta_1[/tex]

And finally:

[tex]\theta_2=arcsin(\frac{n_1}{n_2}sin\theta_1)[/tex]

We then insert our values:

[tex]\theta_2=arcsin(\frac{n_1}{n_2}sin\theta_1)=Arcsin(\frac{1}{3.325}sin(0.478rad))=arcsin(0.13834714686 )=0.139 rad[/tex]