Suppose you have a lens system that is to be used primarily for 680 nm red light. Calculate the second thinnest coating of fluorite (magnesium fluoride) that would be non-reflective for this wavelength. The index of refraction for the coating is 1.38.

Q: The nonreflective coating on a camera lens with an index of refraction of 1.29 minimum thickness of…

A: Introduction:- A coating is applied on the non-reflective coating.Given:- Wavelength of light…

Q: You try to separate two wavelengths of 592 nm and 592.3 nm by using a diffraction grating. Pick a…

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Q: A photographer is attempting to take a photo of two ships on the horizon which are separated by a…

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Q: The primary mirror of the orbiting telescope has a diameter of 6.7 cm. being in orbit, this…

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Q: A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates…

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Q: A lens coated with a thin layer of material having a refractive index 1.45 reflects the least amount…

A: The wavelength of the light: The refractive index of the coating material:

Q: 762 nm wavelength for left- and right-circularly polarized light are nL= 1.53920 and nR= 1.53914.…

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Q: An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at…

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Q: The index of refraction for violet light in silica flint glass is 1.66, and that for red light is…

A: Given:Refractive index for violet light is 1.66Refractive index for red light is 1.62Apex angle of…

Q: A quarter-wave plate for light with the wavelength 615.1 nm has the minimum thickness 464.1 nm. Find…

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Q: White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth,…

A: Given light passes through a 15.0-cm-thick angle between white light and normal =38° index of…

Q: A common lens coating material is magnesium fluoride 1MgF22, with n = 1.38. What thickness should a…

A: The destructive interference condition for thin film is, 2t=m+12λcoatingfor minimum thicknes m=0that…

Q: A laser beam with vacuum wavelength 632.8 nm is incident from air onto a block of Lucite as shown in…

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Q: A thin film of Crizal® (n= 1.50) is placed on a pair of glasses (n = 1.61) in order to eliminate…

A: Given quantities: wavelength of light used (λ) = 550 nm refractive index of Crizal film (n2) = 1.50…

Q: Mirror M₁ in the figure below is moved through a displacement AL. During this displacement, 248…

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Q: A beam of light consists of two wavelengths, 590.159 nm and 590.220 nm, that are to be resolved with…

A: The expression for resolving power R is,

Q: Chapter 36, Problem 025 Find the separation of two points on the Moon's surface that can just be…

A: using small angle approximation and diffraction due to the circular aperture,

Q: If I add 37,483 J of energy to an ideal gas inside a balloon, causing the internal energy to…

A: Given data The heat added inside the balloon is given as ∆Q=37483 J. The increase in internal…

Q: Q. A square aperture of 0.3 mm size is illuminated with light from a He-Ne laser (632 nm…

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Q: A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 μm thick. When…

A: Four fringe shift will occur when the optical path in one arm of a Michelson’s interferometer…

Q: A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle…

A: Given:n = 2.5×10-5first maxima, ∆θ =θ1-θ2 = 0.44° wavelength, λ1 = 618 nm = 618×10-9 m

Q: Non-reflective coating is put on eyeglasses. Magnesium fluoride MgF2 is used. The refractive index…

A: Refrective index (n)= 1.38 Wavelength= 584 nm.

Q: Solar cells are an example of anti-reflective coatings. Let a silicon solar cell (n = 3.45) coated…

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Q: One important goal of astronomers is to have a telescope in space that can resolve planets like the…

A: Given data: Distance between star and planet L=1.5×1011 m. Diameter of the mirror D=8.0 m.…

Q: Sometimes a nonreflective coating is applied to a lens, such as a camera lens. The coating has an…

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Q: We consider a Newton's rings experiment. It consists of a plano-convex glass lens of index of…

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Q: An extremely thin sheet of glass is being inspected at the camera store. Illuminated by white light…

A: Refractive index (n) = 1.52 Thickness (t) = 0.415 × 10-6 m Order (m)=1 Now ,   2 n t = m ×…

Q: One important goal of astronomers is to have a telescope in space that can resolve planets like the…

A: L=Distance between planet and star=1.5×1011 m=1.5×10119.46×1015=1.59×10−5 lyD=Diameter of mirror=8…

Q: A proposed “star wars" antimissile laser is to focus infrared light with 2.8-µm wavelength to a…

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Q: You are underwater, on the seafloor, looking up. Use n=1.33 for the index of refraction of water. At…

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Q: It is desired to make an anti-reflection coating using a thin film on glass, to minimise reflection…

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Q: red light beam incides perpendicularly on a diffraction grating with 4000 lines/cm and the…

A: The grating equation is given as                     mλ = asinθ given that                  a =…

Q: An extremely thin sheet of glass is being inspected at the factory. Illuminated by white light at…

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Q: The resolution of the eye is ultimately limited by the pupil diameter. What is the smallest diameter…

A: A circular aperture of diameter D produces a circular diffraction pattern in which the first dark…

Q: The walls of a soap bubble have about the same index of refraction as that of plain water, n = 1.33.…

A: The problem is asking for the wavelength of light that is most strongly reflected from a soap…

Q: Suppose you have a lens system that is to be used primarily for 700-nm red light. What is the second…

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Q: A thin film of magnesium fluoride (n = 1.38) is applied to glass (n=1.50) with a thickness of 100…

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Q: White light originates in water (n 1.33) and then passes through crown glass, which has mild…

A: Given :          Refractive index of water, nw = 1.33          Refractive index crown glass, nred =…

Q: You want to use a material as a top coating on glass (n3 = 1.60) to suppress the reflection of the…

A: Given: n=1.25 λ=550nm

Q: White light passes through a 15.0-cm-thick, silicate flint, glass slab with opposite, smooth,…

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Q: A microscope with an objective lens of diameter 7.70 mm is used to view samples of light of…

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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.