A thin uniform film of refractive index 1.750 is placed on a sheet of glass with refractive index 1.50. At room temp. (21.8 C) this film is just enough for light with a wavelength 538.9 nm reflected off of the top of the film to be cancelled by light reflected by the top of the glass. After the glass is placed in an oven and slowly heated to 160 C, you find that the film cancels reflected light with a wavelength 588.9 nm. What is the coefficient of linear expansion of the film? (Ignore any changes in the refractive index of the film due to the temperature change)

Q: What condition must exist so that no phase change occurs at either boundary in a thin film…

A: Option (D) is the right answer

Q: The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more…

A: The refractive index of the coating material is greater than the refractive index of the base…

Q: Light of wavelength 610 nm is incident on a slit of width 0.20 mm and a diffraction pattern is…

A: Let the wavelength of the light beam is denoted by λ, the slit width is denoted by a,  the screen…

Q: Analysis of an interference effect in a clear solid shows that the wavelength of light in the solid…

A:

Q: A sodium light, having wavelength 632.8 nm, is used to view a soap film to make it look black when…

A: For destructive interference  2nt=mλ t= λ2n

Q: Light of wavelength 647 nm is incident perpendicularly on a soap film (with n = 1.35) suspended in…

A: Given that the value of wavelength. Then We have to determine the value of smallest thickness and…

Q: 6) Light from a 620 nm wavelength laser passes through a diffraction grating with 4000 lines/cm in…

A: a. Given: N=4000 lines/cm=4,00,000 lines/mβ=90°wavelength=λ=620nm=620×10-9m

Q: Two waves of light in air, of wavelength 600.0 nm, are initially in phase. They then travel through…

A: Let λ be the wavelength. Both the waves have to travel L2 distance as well as L1-L2.

Q: Puh-lastic. Plastic coatings are put in car's glass windows (n = 1.52) in order to keep the interior…

A: Given:Glass window refractive index, n=1.52Thickness, t = 107.5 nmWavelength, λ=600 nm

Q: Plastic coatings are put in a car's glass window (n = 1.52) in order to keep the interior of cars…

A: Given:-  Plastic coatings are put in a car's glass window (n = 1.52) the index of refraction of the…

Q: A glass sheet 0.910 um thick is suspended in air with white light incident perpendicularly on the…

A:

Q: A narrow beam of ultrasonicwaves reflects off the livertumor in Figure P22.22. If the speedof the…

A: The relation between the refractive index and velocity is

Q: A thin film of oil (n=1.38) of thickness 424 nvm with air on both sides is illuminated with white…

A: Refractive index of the oil film, n = 1.38 Thickness of film, t = 424 nm There is air on both sides,…

Q: Electromagnetic radiation of intensity I0 = 380 W/m^2 passes through two parallel. Arrow slots that…

A: Given that: Io=380 W/m2d=2.8 μm=2.8×10-6 mL=1.4 my=4.6 mm=4.6×10-3 mI=55 W/m2

Q: Two flat plates of glass with parallel faces are on a table, one plate on the other. Each plate is…

A:

Q: A monochromatic light of wavelength 5600 A° is incident normally on a single slit and the…

A:

Q: 15 fringes are displaced when thin transparent object with refractive index is 1.4 is introduced in…

A: Total fringe shift is,

Q: A certain kind of glass has an index of refrac- tion of 1.646 for blue light of wavelength 430 nm…

A:

Q: A soap bubble (n = 1.30) having a wall thickness of 127 nm is floating in air. (a) What is the…

A: (c)  In general, for constructive interference in such situations: 2nt=m+12λ Now to find the…

Q: The light from a mercury lamp is incident on a water film of refractive index 1.33 and thickness t =…

A:

Q: An oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30°…

A: As we know condition for constructive interference is,  2t  = λn2,3λn2,5λn2,....  where t is…

Q: A spacer is cut from a playing card of thickness 2.90 x 10-1 m and used to separate one end of two…

A: a)Number of phase reversals can be found from the condition of destructive interference.

Q: Monochromatic light of wavelength l = 620 nm from a distant source passes through a slit 0.450 mm…

A: Given data: Wavelength λ=620 nm Slit wide d =0.450 mm Distance between the screen and the slit ,D =…

Q: A possible means for making an airplane invisible to radar is to coat the plane with an…

A: The expression for the destructive interference is,

Q: eflective coating from a material with index of refraction 1.73 to put on top of glass with an index…

A: GivenA material with index of refraction, n1=1.73Glass with an index of refraction, n2=1.4Wavelength…

Q: A thin film of oil (n = 1.44) of thickness 434 nm with air on both sides is illuminated with white…

A: thickness of oil film= 434nm refractive index, n=1.44

Q: . Light travels through a single-slit and forms an interference pattern. The spacing of the dark…

A: The spacing between the dark fringes on one side of the pattern = 1.44 cm

Q: You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a…

A:

Q: Coherent light of wavelength 633[nm] passes through two thin slits and creates an interference…

A:

Q: Light of wavelength 630 nm is incident on a long, narrow slit. a)Determine the angular deflection of…

A: a) The expression for the angular deflection of a dark band is,

Q: A 3.04-kHz tone is being produced by a speaker with a diameter of 0.207 m. The air temperature…

A:

Q: A disabled tanker leaks kerosene (n-1.20) into the Persian Gulf, creating a large slick on top of…

A: Givenrefrative index of kerosen nk = 1.2refractive index of water nw = 1.33thick ness of kerosen…

Q: White light is sent downward onto a horizontal thin film that is sandwiched between two materials.…

A:

Q: A thin film of polystyrene n=1.49 coats a piece of glass n=1.55. When illuminated from above, the…

A:

Q: wish to make an anti-reflective coating from a material with index of refraction 1.09 to put on top…

A: We know that the formula of the thickness of the coating that will produce destructive interference…

Q: In a single slit diffraction experiment, the width of the slit is 3.1 x 10-5 m and the distance from…

A:

Q: In a location where the speed of sound is 354 m/s, a 1,770-Hz sound wave impinges on two slits 30 cm…

A: Angle of the first maximum can be calculated as -  .....(1) Where  D = Separation of two the slits…

Q: Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The…

A:

Q: You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a…

A:

Q: An air gap exists between two glass plates (n = 1.55). a. Determine the minimum width of the air gap…

A: Given : Refractive index of glass, n2 = 1.55 Refractive index of air, n1 = 1 Frequency of orange…

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.