A glass sheet measuring 15.0 cmcm ×× 29.0 cmcm is covered by a very thin opaque coating. In the middle of this sheet is a thin, straight scratch 0.00125 mmmm thick, as shown in (Figure 1). The sheet is totally immersed beneath the surface of a liquid having an index of refraction of 1.41. Monochromatic light strikes the sheet perpendicular to its surface and passes through the scratch. A screen is placed under the liquid a distance 32.0 cmcm away from the sheet and parallel to it. You observe that the first dark fringes on either side of the central bright fringe on this screen are 23.0 cmcm apart. What is the wavelength of the light in air? Express your answer in nanometers.

Q: Sapphire has an index of refraction of 1.80. What is its critical angle of incidence when in air?…

A: According to question we need to find--- Sapphire has an index of refraction of 1.80. What is its…

Q: The light beam shown in the figure below makes an angle of ? = 28.0° with the normal line NN' in the…

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Q: The bottom of a glass bottom boat allows tourists to see the coral reefs in Australia. The indices…

A: Snell's law states that if a ray goes through multiple mediums then the general formula is:…

Q: A light ray of wavelength 589 traveling through air ( 2 = 1.00) is incident on a smooth, flat slab…

A: Given data: Wavelength, λ=589 nm Refractive index of air, n1=1.00 Refractive index of crown glass,…

Q: A light ray from a lamp with wavelength A1 = 600 nm is incident on an air-liquid surface, as shown…

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Q: n2 A ray of light strikes a boundary between two transparent materials, and there is no transmitted…

A: The ray of light strikes the boundary and there is no transmission of light in the second medium and…

Q: "A light ray moves from sapphire (n = 1.77) to air (n = 1.00). If the incident angle in sapphire is…

A: Given data:  n1 = 1.77 and n2 = 1.00 Incident angle (θ1) = 17° Required: The angle of refraction in…

Q: A narrow beam of white light enters a prism made of flint glass at a 52.0° incident angle, as shown…

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Q: A beam of light in air enters (a) water and (b) diamond at an angle 60° relative to normal. Find the…

A:

Q: A fisherman sees a fish in a river at an apparent depth below the surface of the water of 0.75 m.…

A: Given : Apparent depth (d) = 0.75 m Refractive index (n) = 1.33 To determine : True depth that is do

Q: A light beam strikes a piece of glass with an incident angle of 45.00. The beam contains two colors:…

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Q: A solid piece of clear transparent material has an index of refraction of 1.61. If you place it into…

A: Explanation:

Q: lens made of plastic of refractive index 1.52 is coated with a thin film that makes the lens anti…

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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: In the figure, light is incident at angle θ1 = 41˚ on a boundary between two transparent materials.…

A:

Q: For 589-nm light, calculate the critical angle for the following materials surrounded by air. (a)…

A: Wavelength of light: λ = 589 nm = 589×10-9 m  Refractive index  of diamond: ndia = 2.419 Refractive…

Q: A 1.00-cm-thick by 4.00-cm-long glass plate is made up of two fused prisms. The top prism has an…

A:

Q: A certain kind of glass has an index of refraction of 1.650 for blue light of wavelength 440 nm and…

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Q: A thin layer of liquid methylene iodide (n = 1.89) issandwiched between two flat, parallel plates of…

A:

Q: A laser beam is incident at an angle of 29.0° to the vertical onto a solution of corn syrup in…

A:

Q: On a winter day the sound travels 345 meters in one second in air. On a summer day the sound speed…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A laser beam is incident at an angle of 31.0° to the vertical onto a solution of corn syrup in…

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Q: A 130 nm130 nm thick anti‑reflective film, with an index of refraction of 1.37,1.37, is placed on…

A:

Q: 1. If the incoming angle from the air is 20⁰ from the normal. Air (1.0) a. What angle is light…

A: Given data: Incident angle θi=20o Refractive index: air n1 = 1.0 flint glass n2 = 1.61 water n3 =…

Q: A glass prism surrounded by air is in the shape of a 30°-60°-90° triangle. Red and blue lights are…

A: According to the given question,  1. Angular dispersion can be defined as, a measure of the angular…

Q: The figure shows an optical fiber in which a central plastic core of index of refraction n1 = 1.66…

A: Given: In the given figure an optical fiber in which a central plastic core of index of refraction…

Q: A narrow beam of white light enters a prism made of flint glass at a 52.0° incident angle, as shown…

A: As the refractive index of flint glass for red and violet light are not given in question, so I'm…

Q: A beam of light is incident at 30° on a piece of glass in air. The dispersion of colours spans 1 mm…

A: Angle of incidence i=30°L=10 cmColor spam, x=1 mm=0.1 cmnred =1.513 Let us assume the angle of…

Q: A narrow beam of light containning red (650nm) and blue (480nm) wavelength travels through a 1.00 cm…

A:

Q: The drawing shows a crystalline quartz slab with a rectangular cross section. A ray of light strikes…

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Q: An optical coating with an index of refraction of 1.23 is applied to glass with an index of…

A: Given that: ncoating=1.23nglass=1.50Thickness, t=184 nm=184×10-9 m

Q: A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333.…

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Q: A parallel beam of light containing orange (610 nm) and violet (410 nm) wavelengths goes from fused…

A: In the given question given that, incident angle for both colors orange and violet then we have to…

Q: A light ray of wavelength 589 nm is incident at an angle 0 on the top surface of a block of…

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Q: A n = 1.486 n = 1.878 %3D

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Q: A laser beam is incident at an angle of 30.00to the vertical onto a solution of blood plasma in…

A: Data provided : Angle of incident (i) = 30.0° Refracted angle (r) = 19.24°

Q: A monochromatic beam of light in air has a wavelength of 589 nm in air. it passes through Carbon…

A: Write the given values with the suitable variables. λa=589 nmna=1nc=1.63ng=1.52 Here, λa, na, nc,…

Q: If the refractive indexes of the mica plate in the direction of the slow axis and the fast axis are…

A: (Note that there is a slight typo error in the question. Both the indices cannot be labelled as n1,…

Q: Q 1. In a Newton's ring arrangement with air film observed with the light of wavelength 6x 10 cm,…

A: (a) Difference in square of diameters of successive ring is given by,(∆D)2=4nRλμ…

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.