Oil film of thickness d = 5.06 um lies on surface of water, as shown in Figure 1. Monochromatic light is incident on the film from air. The wavelength of the light in air is X = 0.520 µm. The index of refraction of air can be approximated as 1.00, the index of refraction of the oil is n, = 1.54, and the index of refraction of water is nu = 1.33. There are two interfering rays, rays 1 and 2, as is shown in the figure below. The incident angle 0 is small, so, for your calculations, you should use the following approximations: sin 0 x 0 cos 0 2 1- e 1+ cos 0
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: Light with frequency 7.55E14 Hz travelling in vacuum enters a transparent material that has index of…
A: The velocity of light is C = 3× 108 m/s .Velocity of light in a material with refractive index n is…
Q: PART A. SPEED, VELOCITY, AND ACCELERATION Little Mario plays with his remote control car, and…
A: In case of uniform velocity the acceleration of body is zero
Q: A beam of white light is incident on the surface of a diamond at an angle θa�a.(Figure 1) Since the…
A:
Q: Light of wavelength 503 nm in vacuum passes through a piece of fused quartz of index of refraction n…
A: Refractive index = c/v
Q: A magnifying glass can focus sunlight enough to heat up paper or dry grass and start a fire. A…
A:
Q: A certain kind of glass has an index of refraction of 1.660 for blue light of wavelength 440 nm and…
A:
Q: Light with a wavelength of 880 nm enters a material with an index of refraction of 1.49. What is the…
A:
Q: A monochromatic light source emits a wavelength of 490 nm in air. When passing through a liquid, the…
A: Wavelength in air = 490 nmWavelength in liquid = 429 nm
Q: Light travels from an unknown transparent material into water, which has refractive index 1.33. When…
A:
Q: Light with a wavelength of 830 nm enters a material with an index of refraction of 2.30. What is the…
A: Given data: Wavelength of the light =830nm Refractive index n=2.30
Q: Light incident at 65 degree in air strikes a transparent material and produces reflected light that…
A:
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: 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: Part C Derive a formula for 6, the angle between the red and blue refracted rays in the diamond.…
A: Refractive index in diamond for red light nred=2.410Refractive index in diamond for blue lightnblue…
Q: Laser light of wavelength 550 nm hits a glass block at an angle of 58 degrees from the surface of…
A:
Q: A beam of white light is incident on the surface of a diamond at an angle 0, (Egure 1) Since the…
A: Very basic problem from ray optics. We know visible light is electro-magnetic wave radiations and…
Q: The speed of light in a certain type of glass is 1.66 x 108 m/s for blue light with a wavelength of…
A:
Q: A beam of white light is incident on the surface of a diamond at an angle θa.(Figure 1) Since the…
A: The index of refraction for blue light in the diamond is, nblue = 2.450Now, the speed of blue light…
Q: at colors do the two wavelengths corres
A:
Q: The light emitted by a helium-neon laser has a wavelength of 632.8 nm in air. As the light travels…
A: wavelength of light emitted by helium - neon laser in air = 632.8 nm refractive index of ethyl…
Q: A thick sheet of transparent plastic sits on top of the horizontal surface of a block of glass. For…
A:
Q: Consider transmitted light through a thin film of liquid “x” on a lake as shown nair = 1.00…
A: Given Data: Let us consider the given data, nair = 1.00nwater = 1.33λWater = 480 nmvair = 3.00×108…
Q: A thin layer of oil with index of refraction n, = 1.47 is floating above the water. The index of…
A: Given that: Given that:Refractive index of oil, no=1.47 Refractive index of water, nw=1.3Refractive…
Q: Problem 3: Speed of Light a) If the speed of light through material Z is 2.5 × 108 m/s, what is this…
A:
Q: A monochromatic light of wavelength 316 nm in air is passing through a piece of glass of index of…
A:
Q: (b) What is the y-component of the average velocity of the plane during the second leg of the trip,…
A: Velocity of the plane while traveling to the north east to city B. Hence plane travel from East (+x…
Q: A ray of white light traveling through air enters a triangular prism that has an index of refraction…
A: The refractive index of the prism experienced by the red light is, μR=1.513 The refractive index of…
Q: The index of refraction of a glass plate is 1.51. What is the Brewster's angle when the plate is in…
A: Brewster angle is given by, θB=tan-1n2n1 Here, n1 is refractive index of incident medium and n2 is…
Q: Water has an index of refraction of 1.33. Ultraviolet light of frequency 2.0x1015 Hz enters the…
A: When a light eneters from one medium to other its speed gets changed depending upon the refractive…
Q: A beam of white light is incident on the surface of a diamond at an angle ( Figure 1) Since the…
A:
Q: A thin film of polystyrene is used as an antireflective coating for fabulite (known as the…
A:
Q: White light is incident from air onto a triangular prism at a 55.0º angle with respect to the…
A: Given, The angle of the prism: A=60° Incident angle: i1=55° Refractive index for red light: μr=1.45…
Q: Light is incident from vacuum to crown glass; the light's vacuum wavelength is 500 nm, so the…
A: Law of reflection: It states that when a light ray reflects off the surface then the angle of…
Step by step
Solved in 2 steps with 2 images
- A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.A soap film, 4.5 x 10-7 m thick, is illuminated by white light normal to its surface. The index of refraction of the film is 1.50. What wavelength will be intensified in the reflected beam? 450 nm 540 nm 420 nm 675 nm 600 nmA coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 1014 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)
- A ray of sunlight traveling through water (n=1.32 - 1.34 across the visible spectrum) has an incident angle of 80° when it encounters a transparent aquarium wall with index of refraction n=1.2. There is air with index n=1 on the other side of the wall and the wall surfaces are parallel. Which statement below is true? Select one: a. Light emerges on the other side of the wall traveling parallel to the incident ray. b. Light emerges on the other side of the wall but different colors now travel in different directions. c. Light emerges on the other side of the wall and is now completely polarized. d. The light is completely reflected at the first interface. e. The light enters into the transparent wall bot is completely reflected at the second interface.What is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the angle of refraction is 1/2 of the angle of reflection? Note: Sin(20) = 2 Sin(0)Cos(0) O 37° O 39° O 41° O 45° 43°The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660 A beam of white light in this glass strikes the glass-air interface at a 20.10° angle of incidence and refracts out into the air. What is the angular separation between the red and violet components of the spectrum that emerges from the glass? angular separation: 0.2995 Incorrect
- A plastic-coated window consists of Perspex and glass. At the Perspex to glass interface, the angle of refraction is 30.00degrees. and the angle of incidence is 20.00degrees. If the refractive index of the glass is 1.75, what is the refractive index of the Perspex?A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410for red light and nblue=2.450blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has nair=1.000 Note that the angles in the figure are not to scale. Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.A narrow ray of white light (originating in air) is incident on the surface of a pool of water at at an angle of incidence of 55.5º. The table below gives the value of the index of refraction of water for various colors of visible light. (Assume that the index of refraction of air is 1.000. Round your answers to at least two decimal places.) Color red orange 1.332 yellow 1.333 blue Index of Refraction green 1.334 violet 1.331 O 1.337 1.340 (a) What is the refraction angle (in degrees) for the green component of the light ray in the water? (b) What is the refraction angle (in degrees) for the violet component of the light ray in the water?
- In the figure below, assume that two waves of light in the air are innitially in phase. One wave travels through a layer of a material of index of refraction n1 = 1.5 and thickness L = 0.5 micro m. The other travels through an equally thick plastic layer of index of refraction n2 = 2. The wavelength of the light is 500nm. If after transversing the materials the waves arrive at some common point with the same amplitude, is there interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive.A narrow ray of white light (originating in air) is incident on the surface of a pool of water at at an angle of incidence of 79.10. The table below gives the value of the index of refraction of water for various colors of visible light. (Assume that the index of refraction of air is 1.000. Round your answers to at least two decimal places.) Color red orange 1.332 green yellow 1.333 blue Index of Refraction violet 1.331 O 1.334 1.337 1.340 (a) What is the refraction angle (in degrees) for the blue component of the light ray in the water? (b) What is the refraction angle (in degrees) for the orange component of the light ray in the water?A beam of light is incident at 30° on a piece of glass in air. The dispersion of colours spans 1 mm on the bottom surface of the glass as shown below. The thickness of the glass slab is L = 10 cm. The index of refraction for red light is n_red = 1.513. Detemine the index of refraction for violet light. 30° Red. 1 mm n_violet = 1.624 n_violet = 1.511 n_violet = 1.553 O n_violet = 1.651 n_violet = 1.433