film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 278 nm. What is the wavelength of the most strongly reflected if it is illuminated perpendicular to its surface? Round your answer to 0 decimal places.

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