A ray of white light strikes the surface of a 4.0-cm-thick slab of flint glass (Θ1 = 60°). As the ray enters the glass, it is dispersed into its constituent colors.
Estimate how far apart the rays of deepest red and deepest violet light are as they exit the bottom surface. Assume nred = 1.57 and nviolet = 1.60.
Θ1 = 60°
n1 = 1 (air)
Θ2violet = ?
Θ2red = ?
nviolet = 1.60
d (adj) = 4 cm
Δx = ?
Snell's Law: n1*sin(Θ1) = n2*sin(Θ2)
tan(Θ) = opp/adj
The Attempt at a Solution
n1*sin(Θ1) = n2*sin(Θ2r)
sin-1((sin 60°)/(1.57)) = Θ2r = 33.5°
n1*sin(Θ1) = n2*sin(Θ2v)
sin-1((sin 60°)/(1.60)) = Θ2v = 32.8°
tan(Θ2r) = opp/adj
dr = tan(33.5°) * 4 cm = 2.65 cm
dv = tan(32.8°) * 4 cm = 2.58 cm
Δx = 2.65 cm - 2.58 cm = 0.7 mm
It says that this answer is not correct, but I am nearly 100% sure this is how it should be done!