A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 23.20°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass.

Respuesta :

Answer:

0.002°

Explanation:

you can use Snell law to compute the angle of refraction for both cases, red and blue.

By using the Snell law for blue color you have

[tex]n_{d}sin\theta_d=n_csin\theta_c\\\\\theta=sin^{-1}(\frac{n_csin\theta_c}{n_d})=sin^{-1}(\frac{(1.531)sin23.2\°}{2.444})=0.246\°[/tex]

and for the red color you obtain:

[tex]\theta=sin^{-1}(\frac{n_csin\theta_c}{n_d})=sin^{-1}(\frac{(1.520)sin23.2\°}{2.410})=0.248\°[/tex]

finally by getting the difference between these angles you obtain:

[tex]0.248\°-0.246\°=0.002\°[/tex]

hence, the angle difference is 0.002°