A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow

A thin film of oil (n =1.50) with varying thickness floats on water (n = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. (a) What is the oil's thickness t at point B? [hint: this is the second thinnest region for yellow light]. Your solution must include a neat diagram. (b) The oil's thickness at point A is estimated to be 20 % of that at point B. Prove (do calculation) that there are no reflected visible colors can be seen at point A. Air Oil Dark no = 1.50 A В Water Nw= 1.33 Blue Yellow Red Blue Yellow

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A tempered glass is placed atop a phone screen (n=1.52). Green light (540 nm) is incident from air onto the tempered glass (1.60). What is the minimum thickness of the tempered glass for the incident light to appear constructively? 0 [nm] 632 [nm] 169 [nm] 84 [nm]
The following problem must be solved taking into consideration the modification given below: A student holds a laser that emits light of wavelength 545 nm. The laser beam passes though a pair of slits separated by 0.500 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 2.00 m/s. The central maximum on the screen is stationary. Find the speed at which the 5th-order maxima changes its position on the screen. Do not use small angle approximation. Modification: Suppose there is a liquid in the space between the slits and the screen. Give such liquid any refractive index you desire (numerical value). Also suppose that the screen has a finite lenght (give another numerical value). Besides calculating the speed at which the 5th-order maxima changes its position on the screen also calculate the initial value of bright fringes according to the…
A thin film of glycerin (n = 1.473) of thickness 486 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm? nm (smallest value) nm nm (largest value)
A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 9.00-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 515 nm. As the temperature is slowly increased by 25.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal?
In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=
You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cm
A thin film of glycerin (n = 1.473) of thickness 536 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm? nm (smallest value) nm nm (largest value) Need Help? Read It
A thin layer of oil floats on a puddle of water. When sunlight hits the film from directly above, the colors red (650 nm) and violet (390 nm) are reflected. What is the minimum thickness of the oil? Use n=1.5 for the oil, and n=1.33 for water.
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 thin film of cooking oil (n = 1.45) is spread on a puddle of water (n = 1.35). What is the minimum thickness Dmin of the oil that will strongly reflect blue light having a wavelength in air of 451 nm, at normal incidence? Dmin = nm What are the next three thicknesses that will also strongly reflect blue light of the same wavelength, at normal incidence? O 156 nm, 233 nm, and 3111 nm O 467 nm, 778 nm, and 1090 nm O 233 nm, 389 nm, and 544 nm O 363 nm, 606 nm, and 848 nm
A thin film of glycerin (n = 1.473) of thickness 475 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm? nm (smallest value) nm nm (largest value) Need Help? Read It
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