Review Conceptual Example 4 before beginning this problem. A soap film with different thicknesses at different places has an unknown refractive index n and air on both sides. In reflected light it looks multicolored. One region looks yellow because destructive interference has removed blue (Avacuum = 452 nm) from the reflected light, while another looks magenta because destructive interference has removed green (Avacuum = 560 nm). In these regions the film has the minimum nonzero thickness t required for the destructive interference to occur. Find the ratio tmagenta/tyellow- Number Units

Light travelling from air hits a dangerous glycerol (n=1.45) spill on the top of a piece of pyrex glass (n=1.55). If a scientist observes dark spots from the glycerol spill, and the thickness of the film was measured to be 128 nm, determine the wavelength of light in air.

A child is playing with a bubble wand, which is a large rectangular wire frame that contains a soap film. The child holds the wand vertically, which causes the film to be thinner at the top and thicker at the bottom, forming a wedge shape. Assume a thickness of essentially zero at the top. White light shines on the film with approximately normal incidence. The child views the reflected light from the film and sees the first violet interference band at a distance of 3.00 cm from the top edge of the film. The index of refraction of the soap film is the same as that of water, n = 1.33, and the wavelength of violet light is 1 = 403 nm. (a) At what distance (in cm) from the top edge of the film does the child see the first red (A = 666 nm) interference band? cm (b) What is the thickness (in nm) of the soap film at the location of the first violet interference band? nm What is the thickness (in nm) of the soap film at the location of the first red interference band? nm (c) What is the wedge…

The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 467 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference? Number Units

A soap bubble (n = 1.35) is floating in air. If the thickness of the bubble wall is 300 nm, which of the following wavelengths of visible light is strongly reflected? A) 620 nm (red) B) 580 nm (yellow) C) 540 nm (green) D) 500 nm (blue) Why does m=1?

A sodium light, having wavelength 589.3 nm, is used to view a soap film to make it look black when directed perpendicular to the film. What is the minimum thickness of the soap film if the index of refraction of soap solution is 1.38?

You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a layer of transparent plastic (n = 1.61). Light whose wavelength is 640 nm in vacuum is incident nearly perpendicularly on the coated glass and reflects into your eyes. The layer of plastic looks dark. Find the smallest possible nonzero value for the thickness of the layer.

A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 12.0-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 490 nm. As the temperature is slowly increased by 21.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal? °C-1