While washing dishes one evening, you admire the swirling colors visible in the soap bubbles. You hold up a cup and peer into its soap-covered mouth. As you hold the cup still and examine it in the light of a lamp behind you, you notice that the colors begin to form horizontal bands, as in the figure. You observe that the film appears black near the top, with stripes of First stripe color below. Approximately how thick is the film of soap in the reddish region of the third stripe indicated? Assume that the film is nearly perpendicular both to your line of sight and to the light rays from the lamp. For simplicity, assume that the region specified corresponds to the third maximum of the intensity of Second stripe Third stripe reflected red light with a 645 nm wavelength. The index of Fourth stripe refraction of the soap film is 1.34. 842.35 thickness of soap film: nm

PLEASE ANSWER ASAP: A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.

Green light (wavelength=550 nm) and blue light (wavelength=450 nm) strikes a diamond (ndiamond=2.42) at an angle of 23° from the normal to the air-diamond interface. What is the difference between the angles that each of the two rays refract?

A soap bubble shows strong colors due to interference of the light that reflects from the inner and outer boundaries of the thin soap and water film.  Light striking the outer surface has a phase change on reflection of  .  That means that its phase is flipped when it goes from air to the water surface and back out.  Light reflecting from the inner surface, where it  is in water then comes to the boundary with air, does not change its phase.  Suppose you see white light reflecting from a bubble as it increases its size.  The film making the bubble gets thinner and thinner and the colors reflecting from it change.  The bubble glows in colors that differ with the thickness of the soap film. As it gets even thinner, what will you see at the place in the film that will soon burst? In doubt, try an experiment with soapy water and make your own bubble.  Look at the colors of a reflected white light when the bubble thins.     Darkness.  The light will destructively interfere and the…

Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure pigment, each of which was approximately 2.00 mm in diameter. The idea was to have colors such as red and green next to each other to form a scintillating canvas, such as in his masterpiece, A Sunday Afternoon on the Island of La Grande Jatte (figure below). Assume 1 = 420 nm and a pupil diameter of 4.90 mm. Beyond what distance would a viewer be unable to discern individual dots on the canvas? m SuperStock/SuperStock

The Rayleigh criterion provides a convenient way to describe the theoretical resolution (e.g. an ability to distinguish two bright objects ) of an optical system. The criterion states that two small bright sources of light can be resolved if the first diffraction minimum of the image of one source point just coincides with of further apart then the first maximum of another (see figure below). A converging lens, 34.2 mm in diameter, is used to form images of distant objects. Considering the diffraction by the lens, what angular separation must two distant point objects have in order to satisfy Rayleigh's criterion? Assume that the wavelength of the light from the distant objects is 431 nm. Provide your answer in millidegrees (mdeg). Answer: Choose... +

The composition of the ancient atmosphere can be determined by analyzing bubbles of air trapped in amber, which is fossilized tree resin. (This is oneway we know that the air in the time of the dinosaurs was richer in oxygen than our current atmosphere.) An air bubble appears to be 7.2 mm below the flat surface of a piece of amber, which has index of refraction 1.54. How long a needle is required to reach the bubble?

A glass sheet measuring 15.0 cmcm ×× 29.0 cmcm is covered by a very thin opaque coating. In the middle of this sheet is a thin, straight scratch 0.00125 mmmm thick, as shown in (Figure 1). The sheet is totally immersed beneath the surface of a liquid having an index of refraction of 1.41. Monochromatic light strikes the sheet perpendicular to its surface and passes through the scratch. A screen is placed under the liquid a distance 32.0 cmcm away from the sheet and parallel to it. You observe that the first dark fringes on either side of the central bright fringe on this screen are 23.0 cmcm apart. What is the wavelength of the light in air? Express your answer in nanometers.

You shine a red laser light onto Linseed oil floating on the water. The index of refraction for Linseed oil, Linseed-oil-2.07, Nwater =1.33 and Nair=1.0. The Laser light makes 20 degree from normal in Linseed oil as in the figure. What will be the incident angle 2?