Light coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal (6, ) will the fish appear to the fisherman? Use Snell's law: n, sin e, = n, sine,

A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction?   Calculate to 1decimal.

(a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =

Part (b)  Numerically, what is the angle in degrees?  θ2=  Part (c)  Write an expression for the reflection angle ψ, with respect to the surface.  ψ =   Part (d)  Numerically, what is this angle in degrees?  ψ =

A light beam containing red and violet wavelengths is incident on a slab of quartz at an angle of incidence of 44.20°. The index of refraction of quartz is 1.455 at 660 nm (red light), and its index of refraction is 1.468 at 410 nm (violet light). Find the dispersion of the slab, which is defined as the difference in the angles of refraction for the two wavelengths.

A light beam containing red and violet wavelengths is incident on a slab of quartz at an angle of incidence of 56. The index of refraction of quartz is 1.455 at 660 nm (red light), and its index of refraction is 1.468 at 410 nm (violet light). Find the dispersion of the slab, which is defined as the difference in the angles of refraction for the two wavelengths.  1.31º 1.05º 0.35º 0.50º

A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.511 for the red end of the spectrum and 1.537 for the violet end and an apex angle of 64.8 degrees. If the ray has an angle of incidence of 46.3 degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum upon exiting the prism? Measure this in degrees to 2 decimal places.

Consider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.48 and the index of refraction for the oil to be 1.25. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?

A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.