The index of refraction for a certain type of glass is 1.639 for blue light and 1.607 for the red light. A beam of white light (one that contains all colors) enters a plate of glass from the air, nair=1, at an incidence angle of 39.55°. What is the absolute value of 8, the angle in the glass between blue and red parts of the refracted beams?
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Q: nair = 1 Express your answer with appropriate units. Air 05
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A: Refractive index of air (n1) = 1Angle of incidence = θ1Angle of refraction = θ2
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- The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?Air has an index of refraction of 1.00. Water has an index of refraction of 1.33. Consider a pool of water that is perfectly calm and 3.21 meters deep. A ray of light (or a laser beam, if you like) enters the water, refracts, and ultimately hits the bottom of the pool. Find the distance between the point where the light enters the water and the point where the light hits the bottom of the pool if the angle between the ray in air and the surface of the pool is 46.4 degrees. Answer in meters.A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
- White light enters flint glass from air (n₁ = 1). The angle of incidence is 8, = 63 degrees. Due to dispersion in the glass, the index of refraction for red light is 1.662, while the index for violet light is 1.698. Due to this difference, the violet and red parts of white light are refracted by different amounts. What is the difference in refraction angle (AO) between violet and red fin this situation? A0 = degrees n₁ n₂ refracted rays(a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.) 0.27° 0.33° 0.36° 0.46° 0.54°
- Using filters, a physicist has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 31.5°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm (ii) ?500 nm (iii) ?650 nmThe figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?In the figure, light is incident at angle θ1 = 37˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.26, n2 = 1.42, n3 = 1.32 and n4 = 1.45, what is the value of (a) θ5 and (b) θ4?
- A ray of light hits the surface between air and an unknown material at an angle A of 58.8°. It travels through the unknown material at an angle B of 38.5° relative to the vertical. What is the index of refraction of the material?A ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. (a) What is the angle of refraction, ?2,that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.)With what angle of incidence, ?3,does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.)In the figure, light is incident at angle 8₁ = 39° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n₁ = 1.28, n₂ = 1.38, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? 18₁ Air m n₂ 173 na