Exam 23: Wave Properties of Light

You set two parallel slits 0.2 mm apart at a distance of 1 m from a screen and illuminate them with light of wavelength 400 nm. The distance between the first and second dark lines of the interference pattern on the screen is

You apply a material with n = 1.25 to a lens n_g = 1.5) to make a nonreflective coating due to destructive interference at a wavelength in a vacuum) of 555 nm. What is the minimum thickness of the coating that you need?

"To find the value of the resultant displacement for overlapping waves at any point at a particular instant, it is only necessary to add the values of the displacements for the individual waves." This is a statement of

The different colors seen on a soap bubble are produced by

You place a convex lens on top of a flat plate of glass and illuminate it with monochromatic light of wavelength 600 nm. You observe a dark circle at the center of the lens, surrounded by a series of concentric dark rings. What is the thickness of the air space between the lens and the flat glass plate where you see the sixth dark ring?

Two side-by-side coherent light sources radiate at 633 nm. At a point in space where the path difference to these two sources is 30 nm, the phase difference could be

A ray of light is shown being reflected at the surface of a material. If the reflected ray is completely plane polarized, the index of refraction of the material is approximately

A ray of light traveling in air enters the end of a rectangular block of a material that has an index of refraction n = 1.35. The largest value of the angle θ for which total internal reflection occurs at the upper surface of the material is approximately

A fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38. What is the critical angle, Ɵ_c, at the core-cladding interface?

The plane of polarization of the reflected light lies

The minimum path difference that will produce a phase difference of 180º for light of wavelength 600 nm is

Two narrow slits, their centers separated by 15 cm, are illuminated by monochromatic radiation and produce the pattern in the figure on a distant screen. The wavelength of the radiation is

Why are fringes not observed if the angle of the wedge of air in the diagram is too large?

Light of wavelength 500 nm illuminates parallel slits and produces an interference pattern on a screen that is 1 m from the slits. In terms of the initial intensity I₀, the light's intensity in the interference pattern at a point for which the path difference is 300 nm is

Visible light from an ordinary source such as a sodium lamp can be used to produce interference effects that demonstrate the wave nature of light, provided that

A phase shift of 180º occurs when a light wave

In order to produce several visible interference fringes from two narrow slits using light of a single wavelength, the distance between the slits must be of the order

An object leaves point A and travels in a straight line to point B via path b. In region I, the speed is 100 m/s, while in region II, the speed is 71 m/s. How long does it take for the object to go from A to B?

In the figure, a beam of light from an underwater source is incident on a layer of carbon disulfide and the glass bottom of the container. Some of the refracted and reflected rays are shown in the diagram. For the rays shown, the interface at which the reflected light changes phase is

A 60° prism has a refractive index of 1.64 for blue light and 1.61 for red light. Calculate the difference in the angle of emergence from the opposite face of the prism for a beam of red light and a beam of blue light that are both incident at an angle of 60⁰.