Problem 4: Light of wavelength 608 nm in air undergoes constructive interference when it is perpendicularly reflected from an oil spill on a plastic sheet. fhe refractive index of the oil is 1.23 and that of the plastic is 1.44. What is the nonzero thickness, in nanometers, of the thinnest oil film that causes such interference? t=

Q: = A bubble is formed by a soap film with index of refraction n 1.3 and a thickness of 325nm. When…

A: given: index of refraction (n) = 1.3 thickness (t)= 325nmformula:λ= 2nt / m+ 1/2λ= 2(1.3)(325)nm /…

Q: Because the coating is expensive, you want to use a layer that has the minimum thickness possible,…

A: We have to apply the condition for destructive interference.

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

A:

Q: What is the minimum thickness of a soap bubble film with refractive index 1.30 that results in a…

A:

Q: laser light with wavelength of, lambda= 630nm, allowed to pass through double slit interference with…

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Q: A thin film of oil is on a puddle of water. Light of wavelength 635nm hits the thin film. What…

A: Given: The wavelength of the light is, λ=635 nm=635×10-9 m. The refractive index of the air is,…

Q: In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 3.20 um…

A:

Q: A student performs a double-slit interference experiment. The student records the fact that a…

A: Condition for dark fringes

Q: A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36.…

A: We have to use condition for destructive interference.

Q: In the figure, a broad beam of light of wavelength 590 nm is sent directly downward through the top…

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Q: A laser beam with wavelength λ = 675 nm hits a grating with n = 4750 grooves per centimeter. A.…

A: Solution:-

Q: Consider a 505-nm light falling on a single slit of width 1.1 µm. Hint a. At what angle is the first…

A: Given: Wavelength,λ=505nm=505×10-9mWidth,d=1.1μm=1.1×10-6mFirst minimum,m1=1Second minimum,m2=2 The…

Q: 1. The gap between two flat glass (n,lass= 1.52) plates is filled with water (nwater= 1.33). What…

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Q: Light with a wavelength of 600 nm falls on a thin soap film. The angle of incidence is 30°. In the…

A: Given:  The wavelength of light is 600 nm The incidence angle is 300 The adjacent band distance is 4…

Q: 9. Monochromatic light falls on a slit that is 0.00240 mm wide. If the angle fringes on either side…

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Q: Counter-propagating light with a vacuum wavelength of 585 nm interferes inside a medium with…

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Q: A film of oil lies on wet pavement. The refractive index of the oil exceeds that of the water. The…

A:

Q: 2. A double slit interference apparatus is illuminated with monochromatic light of wavelength λ =…

A: Given that,Wavelength : λ = 550 nm = 550×10-9 md = 4.50 μm   = 4.50×10-9 mD = 2.0 mm = 6Here we need…

Q: Problem 15:  Structures on a bird feather act like a reflection grating having 450 lines per…

A: This problem is solved by using  diffraction grating equation dsin(theta) =n(lambda) Where, d is…

Q: A thin film of index nflm 1.40 coats a thick glass plate of index n, 'glass 1.50. g The film is…

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Q: A very thin sheet of plastic with refraction index np = 1.6 covers one slit of a double-slit…

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Q: Light of wavelength 523 ± 11 nm passes through an interference (diffraction) grating that has 350 +…

A: In this case, the pattern will consist of multiple bright fringes, with the central maximum being…

Q: A thin film of acetone (n = 1.25) coats a thick glass plate (n = 1.50). White light is incident…

A:

Q: Light from a laser is passed through a mask with two slits separated by 90 um. The light makes an…

A: The formula used to determine the distance: d = mλL/D ...(i) Where,  m is considered as the order of…

Q: A double slit is illuminated with monochromatic light of wavelength 594 nm. The m=0 and m = 2 bright…

A: Given: Wavelength, λ=594 nm=594×10-9 morder of diffraction, m=0, and m=2Slit width, y=5.73 cm=0.0573…

Q: Interference       Problem 8:  A thin layer of oil with index of refraction no = 1.47 is floating…

A: Step 1: Step 2: Step 3: Step 4:

Q: Problem 6: In this problem, use 481 nm for the wavelength of blue light and the index of refraction…

A: wavelength of blue light (λ) = 481 nm index of refraction (n) = 1.40

Q: 1. A transparent material of thickness 12 mm and index of refraction of 1.3, has an intensity ratio…

A: Given data: The thickness of the material is, t=12 mm. The index of refraction of the material is,…

Q: Interference       Problem 8: A thin layer of oil with index of refraction no = 1.47 is floating…

A:

Q: In the figure, two isotropic point sources of light (5, and S₂) are separated by distance 2.60 um…

A: distance of separation of two light sources, wavelength of light, Let, distance between

Q: Fraunhofer Diffraction: Numerical Light of wavelength 580 nm is incident on a slit having a width of…

A: given, wavelength λ =580nmslit width α =0.300mmdistance btween slit and screen is L=2m i)…

Q: A soap film surrounded by air has an index of refraction of 1.38. If a region of the film appears…

A: index of refraction (n) = 1.38 Wavelength (λ) = 633 nm = 633 x 10-9 m

Q: Calculate the smallest thickness of a soap film on glass capable of producing reflective destructive…

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Q: Monochromatic light of wavelength 720 nm is incident on parallel slits, of width 0.420 mm, separated…

A: To calculate the intensity at a point on the screen, we can use the concept of the double-slit…

Q: Using monochromatic light, an interference pattern is generated on a screen 50.0 cm away from a…

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

A: Here's the detailed explanation:To determine the maximum thickness of an oil film that appears dark…

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

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Q: A silicone substrate is coated on one side with a thin film of ZnO to reduce reflection from the Si…

A: Given n = 1.850 n2 = 3.881 λ   = 600 nm  Find, the least coating thickness that eliminates the…

Q: A 596-Å-thick layer of ZnS (n = 2.35) is deposited on glass (n = 1.52). Calculate the normal…

A: For normal incidence, δ=2πλnft Here, the thickness of the film,t=596×10-10m Index of the film,…

Q: A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36.…

A: Given, Refractive index of glass sheet nglass = 1.50  Thickness of oil layer t = 400 nm Refractive…

Q: Light from a laser is passed through a mask with two slits separated by 90 um. The light makes an…

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Q: Question A2 Red light of vacuum wavelength 650 nm is travelling in a non-magnetic dielectric glass…

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Q: What is the thickness of the film of Cryolite (R.I.= 1.36) is coated on a glass surface…

A: Refractive index of cryolite=1.36 Refractive index of glass plate=1.55 Wavelength=5893A.U…

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.