Calculate the index of refraction for a piece of glass that is  3.5 cm thick if the ray inside the glass makes an angle of  25.4 degree with respect to the normal when the incident ray makes an angle of  49 degree with respect to the normal. Please draw the figure and label the angles.

A light ray travels from vacuum into a slab of material with index of refraction n1 at incident angle θ with respect to the surface. It subsequently passes into a second slab of material with index of refraction n2 before passing back into vacuum again. The surfaces of the different materials are all parallel to one another. As the light exits the second slab, what can be said of the final angle ϕ that the outgoing light makes with the normal? (a) ϕ > θ (b) ϕ < θ (c) ϕ = θ (d) The angle depends on the magnitudes of n1 and n2. (e) The angle depends on the wavelength of the light.

Consider a beam of light from the left entering a prism of apex angle as shown in Figure P34.34. Two angles of incidence, 1, and 3, are shown as Hell as two angles of refraction, 2 and 4. Show that = 1 + 3. Figure P34.34

A light ray initially in water enters a transparent substance at an angle of incidence of 37.0, and the transmitted ray is refracted at an angle of 25.0. Calculate the speed of light in the transparent substance.