A flat piece of glass is held stationary and horizontal above the highly polished, flat top end of a 12.0-cm-long vertical metal rod that has its lower end rigidly fixed. The thin film of air between the rod and glass is observed to be bright by reflected light when it is illuminated by light of wavelength 490 nm. As the temperature is slowly increased by 21.5°C, the film changes from bright to dark and back to bright 200 times. What is the coefficient of linear expansion of the metal? °C-1
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- A quarter-wave plate is made from a material whose indices of refraction for light of free-space wavelength Ao = 589 nm are n = 1.732 and n = 1.456. What is the minimum necessary thickness of the plate for this wavelength?A spacer is cut from a playing card of thickness 2.79 x 104 m and used to separate one end of two rectangular, optically flat, 2.80 cm long glass plates with n = 1.70, as in the figure below. Laser light at 543 nm shines straight down on the top plate. HINT Adjacent dark bands occur when the air gap thickness changes by half a wavelength. i Click the hint button again to remove this hint. (a) Count the number of phase reversals for the interfering waves. 1027 X (b) Calculate the separation (in m) between dark interference bands observed on the top plate. (No Response) mTwo waves of light in air, of wavelength 600.0 nm, are initially in phase. They then travel through plastic layers as shown in the figure below, with L1 = 4.44 µm, L2 = 3.97 µm, n1 = 1.45, and n2 = 1.62. What multiple of A gives their phase difference after they have both emerged from the layers? Give absolute value. L1 Number i 0.906 Units This answer has no units
- The plane z = 0 separates two media: glass(nglass = 1.51 for z < 0) and water (nH20 = 1.33 for z > 0). The optical beam of a helium-cadmium (He-Cd) laser has a wavelength in vacuum of 325 nm. Consider that the laser beam propagates in the x-z plane from the glass side towards the glass/water interface at an angle of incidence of 30° (angle between the incident beam and the normal to the interface). Determine the Cartesian components of the k-vector (kx, ky, kz) for the incident reflected, and transmitted beams.Red light having a wavelength of 690 nm (in air) is vertically incident on a thin film of oil that has an index of refraction of 1.19. The film of oil floats above water (having an index of refraction of 1.30). The red light is brightly reflected. The minimum (nonzero) thickness of the film of oil is 580 nm. 145 nm. 290 nm. 345 nm.An extremely thin sheet of glass is being inspected at the camera store. Illuminated by white light at near-normal incidence, the film-like sheet is 0.415 µm thick and has air on both sides. If the glass has a refractive index of 1.52, what wavelength of visible light (in nm) does it reflect most strongly? (The wavelengths of visible light range from 400 to 700 nm.)
- The pupil of an eagle’s eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 202 m, the eagle sees them as one unresolved object and dives toward them at a speed of 15 m/s. Assume that the eagle’s eye detects light that has a wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects?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.As shown in the figure below, two transparent polycarbonate plates, each 19.0 cm long, touch each other at the right end, but are separated by a thin cylinder with a diameter of d = 0.0580 mm at the left end. (The plates are surrounded by air.) Light consisting of two wavelengths, 400 nm and 600 nm, is incident on and normal to the surface of the plate, and is viewed by reflection. At what distance from the contact point is the next dark fringe? X mm
- One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having glass plates on each end. A gas is slowly leaked into the cylinder until a pressure of 1 atm is reached. If 140 bright fringes pass on the screen when light of wavelength A=440nm is used, what is n, the index of refraction of the gas? State your answer to the nearest 0.000001 ( one part per million).For light with 1 = 10-6 m what is the thickness of a coating with n = 1.225 that reduces normal incidence reflection from glass (nGlass =1.5) to zero? O 2.5 x 10-7 m O None of these O 4.08 x 10-7 m O 2.04 x 10 7 m O 8.16 x 10 7 O 3.33 x 10 7 m O 5 x 10 7 mThe pupil of an eagle's eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 197 m, the eagle sees them as one unresolved object and dives toward them at a speed of 20 m/s. Assume that the eagle's eye detects light that has a wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects? t= i