A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surface, making it look rainbow-like (an effect known as iridescence). She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33.Now assume that the oil had a thickness of 200 nm and an index of refraction of 1.5. A diver swimming underneath the oil slick is looking at the same spot as the scientist with the spectromenter. What is the longest wavelength λwater of the light in water that is transmitted most easily to the diver?

Q: A thin uniform film of refractive index 1.750 is placed on a sheet of glass of refractive index…

A: The refractive index of a uniform film, n=1.750   The wavelength of the light, λ=582.4 nm=582.4×10-9…

Q: soap film is found to be 560 nm. The light is nearly normal to the surface. What type of…

A: The waves carry disturbances from one point to the other. The interference is actually the…

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: certain kind of glass has an

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Q: Jimin applies a coating on a piece of glass to reduce its reflectivity when light with a frequency…

A: Determine the wavelength of the light.

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: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

A: As given, The frequency, f=4.54×1014 Hz Index of refraction of the material, μm=1.35 Index of…

Q: A thin uniform film of refractive index 1.750 is placed on a sheet of glass with refractive index…

A: Given: The refractive index of the thin film is = 1.750 The refractive index of sheet of glass is =…

Q: A phase change occurs whenever light reflects off of a medium with a lower refractive index than the…

A: When light reflect off of a medium with lower refractive index than the medium that the light is…

Q: A teacher places a fluid substance, with a refractive index of 1.71, between two horizontal panes of…

A: Given data: The refractive index μ=1.71 The monochromatic light λ=650 nm

Q: The table below shows the index of refraction for BK7 optical glass at several different…

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Q: A beam of light with wavelength 4320 A° is incident on a thin film of refractive index 1.5 such that…

A: For the film to appear dark in the reflected system, the given condition to be satisfied.

Q: A thin film of oil (n = 1.44) of thickness 436 nm with air on both sides is illuminated with white…

A: Given data The refractive index of oil is given as n = 1.44, The thickness of the film is given as…

Q: You would like to create a reflection grating like the one Incident light shown, with an incident…

A: component of optical Equipment contain of a surface ruled with close, equidistant, and Horizontal…

Q: White light passes through a diffraction grating and forms rainbow patterns on a screen behind the…

A: Let the fringe separation is given by Δy. Let the wavelength is given by λ and the slit width is…

Q: A monochromatic light of wavelength 316 nm in air is passing through a piece of glass of index of…

A:

Q: In the figure, assume two waves of light in air, of wavelength 516 nm, are initially in phase. One…

A: a) Here, the first phase of the first wave is         And the phase of the second wave is The…

Q: a) Diffraction is due to the wave nature of light and occurs due to the deviation of light from the…

A: Diffraction occurs when light deviates from the straight path when passing through a small aperture…

Q: A beam of light is diffracted by a slit of width 0.55mm. The diffraction pattern is formed on a wall…

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Q: A fiber has a core made from 86.5%SiO2-13.5%GeO2 with a diameter of 8 um and a refractive index of…

A: Note : According to our guidelines , we are only allowed to answer 3 subparts per question . If you…

Q: One way to determine the index of refraction of a gas is to use an interferometer. As shown below,…

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Q: Figure CQ24.7 shows rays with wavelength l incident from above onto thin films surrounded by air.…

A: Given:Wavelength of light = λIncident on a medium having refractive index = 1.5

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

A:

Q: The light from a krypton laser has a wavelength of 647.1 nm in air. As the light travels from air…

A: Given: The wavelength of the light in the air is 647.1 nm. The refractive index of acrylic glass is…

Q: A distant point source of light (like a star) emits light of wavelength 575 nm. When this light…

A: r=Radius of diffraction pattern=0.0112 mmλ=Wavelength=575 nmf=Focal length of lens=135 mmd=Diameter…

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 soap film, 4.5 x 10-7 m thick, is illuminated by white light normal to its surface. The index of…

A:

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: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

A:

Q: In the figure below, assume that two waves of light in the air are innitially in phase. One wave…

A: The optical path length is defined as the distance that light would travel if it were traveling in a…

Q: A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order…

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Q: A diffraction grating has 600 lines per centimeter. At what angle will the first-order maximum be…

A: Number of lines per cm = 600 Number of lines per m = 60000 Therefore, the slit spacing = 1/60000 m d…

Q: A light is incident normally on a thin (n = 1.33) suspended in the air. What is the second minimum…

A: The combined effect of two or more waves intersecting at a point, is know as interference. It can…

Q: • A laser beam of wavelength 600.0 nm is incident normally on a transmission grating having 400.0…

A: • A laser beam of wavelength 600.0 nm is incident normally on a transmission grating having 400.0…

Q: An optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on…

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Q: Fiber optic cable, buried in the ground to give you fast internet speeds, uses what wave property to…

A: In this problem, it is asking which wave property is used to transmit the light pulses in fiber…

Q: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

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: Jimin applies a coating on a piece of glass to reduce its reflectivity when light with a frequency…

A:

Q: A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency…

A:

Q: A beam of light with wavelength 4320 A° is incident on a thin film of refractive index 1.5 such that…

A:

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.