I NEED HELP PLEASE, THANKS! Light passes from air into water at an angle of 40.0° to the normal. What is the angle of refraction? Please show all work.

Respuesta :

Answer:

Angle of Refraction = 28.9 degrees

Explanation:

We'll use Snell's law for this. It's mathematical form is:

=> [tex]n_1* sin(\alpha _1)=n_2 * sin(\alpha _2)[/tex]

Where [tex]n_{1} = 1, n_{2} = 1.33, \alpha _{2} = 40^o[/tex]

=> [tex]n_{1}[/tex] and [tex]n_{2}[/tex] are the refractive indexes of the air and water respectively.

Solution:

=> 1 * sin (40) = 1.33 * sin([tex]\alpha _{2}[/tex])

=> sin [tex]\alpha _{2}[/tex] = [tex]\frac{sin 40^0}{1.33}[/tex]

=> sin [tex]\alpha _{2}[/tex] = 0.4821

=> [tex]\alpha _{2}[/tex] = 28.9 degrees