The index of refraction in flint glass is 1. 66 for blue light and 1. 61 for red light, with the values for other colors between these limits. A ray of white light traveling from left to right through a slab of flint glass undergoes dispersion as it exits the slab and enters the air. If the exiting ray strikes the right surface of the slab at angle of \(30.0^{\circ}\) from the normal to the surface, what is the angle of refraction

(a) for the bluc light and

(b) for the red light?

(c) A flat opaque screen is placed in the path of the refracted rays such that the red ray strikes perpendicular to the screen. If the distance along the refracted red ray from slab to screen is \(0.50 \mathrm{~m}\), what is the distance between the point of red light and the point of blue light in the rainbow produced on the screen? (Use the small-angle approximation.)