An inventor notices that a soap bubble is dark at its thinnest and realizes that destructive interference is taking place for allwavelengths. How could she use this knowledge to make a non-reflective coating for lenses that is effective at all wavelengths?That is, what limits would there be on the index of refraction and thickness of the coating? How might this be impractical?

Q: Structures on a bird feather act like a reflection grating having 7,000 lines per centimeter. What…

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Q: In Young's double - slit experiment, the seventh dark fringe is located 0.025 m to the side of the…

A: Given Distance of the seventh dark fringe is y=0.025 m Distance of the screen from the slits is…

Q: What is the ratio between the width of the central maximum of a single-slit diffraction pattern to…

A: Given : To find the ratio of width of central maximum to the width of first maximum.

Q: A film of oil on water will appear dark when it is very thin,because the path length difference…

A: Given condition for destructive interference

Q: A physics professor wants to perform a lecture demonstration of Young’s double-slit experiment for…

A: Given, The distance from the source to the screen, D=5.0 m The wavelength, λ=633 nm  =633×10-9 m The…

Q: An anti-glare coating is applied to minimize reflection of a certain wavelength from the glass of a…

A: For a anti glare coating, the thickness of the film is in order that destructive interference occurs…

Q: A material having an index of refraction of 1.30 is used as an antireflective coating on a picce of…

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Q: If you look at something 40 m from you, what is the smallest length (perpendicular to your line of…

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Q: For a diffraction grating, what is the advantage of (a) manyslits, (b) closely spaced slits?

A: diffraction grating

Q: The fingers on your hand are approximately 0.5 cm apart. Ignoring atmospheric blurring, what size…

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Q: Mourning doves have a small patch of iridescent feathers. The color is produced by a 330-nmthick…

A: From the condition for the constructive interference the wavelength be given as,

Q: In the double-slit interference experiment, what would happen to the spacing between the neighboring…

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Q: Why is it so much easier to perform interference experiments with a laser than with an ordinary…

A: Step 1 The laser light is monochromatic and highly coherent. This means that all the photons behave…

Q: An anti-glare coating is applied to minimize reflection of a certain wavelength from the glass of a…

A: The phenomenon of destructive interference occurs in an anti-glare coating system.  Accordingly, the…

Q: Why are interference colors more apparent for thin films than for thick films?

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Q: Two yellow flowers are separated by 60 cm along a line perpendicular to your line of sight to the…

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Q: Structures on a bird feather act like a reflection grating having 6,750 lines per centimeter. What…

A: Given- n=6750 cm-1So,d=1n=1675000=1.48×10-6 m We know that we can find the angle at which the…

Q: When a student shines 580-nm yellow light at a double-slit arrangement, she finds that the…

A: Given data: Wavelength of the incident light is, λ= 580-nm = 580×10-9 m Position of the first order…

Q: Would the headlights of a distant car form a two-source interference pattern? If so, how might it be…

A: 1. The most important criteria for interference to occur is that light must be monochromatic (single…

Q: In a double-slit experiment, the fifth maximum is 2.8 cm from the central maximum on a screen that…

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Q: In Young’s double-slit experiment using monochromatic light of wavelength λ, the intensity of light…

A: Given initial intensity of monochromatic light is I0=K unit. The phase difference in young double…

Q: Which of these is most central to holography— interference, selective reflection, refraction, or all…

A: Interference is most central to holography

Q: The first-order line of 589-nm light falling on a diffraction grating is observed at a 14.5° angle.…

A: Wavelength of the light is λ=589 nm = 589×10-9 m Angle of diffraction is θ=14.5o Suppose that the…

Q: Christopher uses monochromatic light and shines it on a material with index of refraction 1.5,…

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Q: How is the Rayleigh Criterion for angular resolution related to single slit diffraction?

A: When light passes through a small circular aperture. Instead of a bright spot with sharp edges, a…

Q: If you can read the bottom row of your doctor’s eyechart, your eye has a resolving power of 1…

A: Given: Wavelength λ = 550 nm or 550×10-9 m θ=160 degree. Sinθ=2.9 × 10-4  To determine: Effective…

Q: Why won’t two small sodium lamps, held close together, produce an interference pattern on a distant…

A: To determine: Why the two small sodium lamps which are held together will produce an interference…

Q: What will the fringe spacing be if the light is changed to a wavelength of 350 nm?

A: Say separation between slit is d Distance between the screen and the slits = D  Fringe spacing = y=…

Q: Consider a double-slit experiment with a slit width of 1000nm and a slot separation of 1150nm. If…

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Q: Christopher uses monochromatic light and shines it on a material with index of refraction 1.5,…

A: Given:             Refractive index μ=1.5             wavelength λ = 526nm

Q: If the distance between two slits is 0.75 μm and the distance to a screen is 1.5 m, find the angular…

A: Given information: Here, d is the slit separation, D is the distance between slit and screen, λ1…

Q: What is the highest order dark fringe, m, that is found in the diffraction pattern for light that…

A: Wavelength = 619×10^-⁹ m . Width of slit "d"= 1400×10^⁹ m .

Q: Consider a dark fringe in an interference pattern at which almost no light energy is arriving. Light…

A: Light from a double slit experiment interferes constructively and destructively, creating a…

Q: Consider microwaves which are incident perpendicularto a metal plate which has a 1.6-cm slit in it.…

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Q: If the first-order maximum for pure-wavelength light falling on a double slit is at an angle of…

A: Given:If the first order maximum for pure wavelength light falling on a double slit.Angle,θ1=10°Find…

Q: Why are interference fringes noticeable only for a thin filmlike a soap bubble and not for a thick…

A: To explain: The reason why the interference fringes noticeable only for a thin film but not for a…

Q: Structures on a bird feather act like a reflection grating having 450 lines per centimeter. What is…

A: Grating have, N= 450 lines per centimeter=450 lines/cm N= 450 lines/ 10-2 m light of wavelength =…

Q: A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be…

A: Diffraction grating formula for central maximum is,  dsinθ=nλ Given: Wavelength,  λ=520 nm…

Q: What is the minimal thickness soap-bubble of index of refraction 1.333 that will appear blue (450nm…

A: Given: Refractive index = 1.33 The wavelength of the light = 450 nm

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.