Question

The index of refraction of crown glass is 1.515 for red light and 1.523 for blue light. Find the angle separating rays of the two colors in a piece of crown glass if their angle of incidence is 43.9o .

Answer 1

Step-by-step explanation

When light travels from one medium to another, it generally bends, or refracts, refraction also involves the angles that the incident ray and the refracted ray make with the normal to the surface at the point of refraction Snell's law asserts that

`n_1\sin\theta_1=n_2sin\theta_2`

where

Step 1

given

`\begin{gathered} n_1=1.515 \\ \theta_1=43.9\text{ \degree} \\ n_2=1.523 \\ \theta_2=unknown \end{gathered}`

now, replace in the formula and solve for the angle

`\begin{gathered} n_1\sin(\theta_1)=n_2s\imaginaryI n\theta_2 \\ 1.515*\sin43.9=1.523sin\theta_2 \\ hence \\ \theta_2=\sin^(-1)((1.515*\sin43.9)/(1.523)) \\ \theta_2=43.61 \end{gathered}`

therefore, the angle 43.61