An incident beam consisting of white light (falsely colored as an orange ray) passes through a quadrilateral prism, like the one shown in the figure below. What is the angle n of the outgoing beam? Assume the prism's index of refraction is n = 1.72. Just to be clear, the angles at each of the vertices of the quadrilateral prism are 78.7°, 107°, 113°, and 61.30. The angle of incidence is 27.0° air 78,7 air prism (13° '13' air
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- A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is \theta i = 44\deg . Part (a) If the refraction angle of the light at the upper surface of the slab is \theta 1, express sin\theta 1 in terms of \theta i, na, and ng. Part (b) The incident angle of the light on the lower surface of the slab is \theta 2. What is the relation between \theta 1 and \theta 2? Part (c) The refraction angle of the light on the lower surface of the slab is \theta f. Express sin(\theta f) in terms of \theta 2, na, and ng.As shown below, light from a vacuum is incident on a shard of Shawtonium (a newly discovered compound). The backside of the shard is up against an unknown material. When the light strikes the backside of the shard, total internal reflection occurs. The light then emerges from the side of the shard and resumes traveling through a vacuum. The index of refraction of Shawtonium is 1.8. Determine 0₁ & 0₂. vacuum 0₁ = 0₂ = unknown 8₂ shard 71° 36° 01...A beam of light traveling through air is incident up a transparent material at an angle of ??θi=70.43 degrees as shown in the image below. If the angle of the transmitted ray (??θt) as measured with respect to the direction normal to the surface of the material (dashed line in the image below) is 29.72 degrees, what is the index of refraction of of the material?
- 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?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.A beam of light is pointed at the surface of a block of crown glass at an angle of 40.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block). Part of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted beams?
- A beam of light (angle θ₀=15°) inside a transparent material (n=2) hits the surface. Notice the change in subscripts of the angles. For example, the refraction angle is θt, for "transmitted", whereas θr is the "reflected" angle. Use the correct quantity, not necessarily the variable name. Calculate the transmitted (refracted) angle. Please see photo for more details.The figure below shows the path of a light beam through several slabs with different indices of refraction. (n4 = 1.01) 10% = n = 1.60 n = 1.40 n = 1.20 14 (a) If 01 35.0°, what is the angle 02 of the emerging beam? 63.12 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.ºchapter 25: Problem 9: A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is θi = 44°. a) If the refraction angle of the light at the upper surface of the slab is θ1, express sinθ1 in terms of θi, na, and ng. b) The incident angle of the light on the lower surface of the slab is θ2. What is the relation between θ1 and θ2? c) The refraction angle of the light on the lower surface of the slab is θf. Express sin(θf) in terms of θ2, na, and ng.
- The drawing shows a ray of light traveling from point A to point B, a distance of 6.60 m in a material than has an index of refraction n₁. At point B, the light encounters a different substance whose index of refraction is n₂ = 1.63. The light strikes the interface at the critical angle of 8= 48.1°. How much time does it take for the light to travel from A to B? Number i Units *₂= 1.63 #1Light travels from material #1 with refractive index n1 and incidence angle θ1 into material #2 with refractive index n2 and refraction angle θ2. Choose the correct statement below. If θ1 < θ2, then material #2 has a larger index of refraction. If θ1 < θ2, then light travels faster in material #1. If θ1 < θ2, then material #2 has a smaller index of refraction. If θ1 < θ2, then material #1 has a smaller index of refraction. If θ1 > θ2, then light travels faster in material #2.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.) c.) With what angle of refraction, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) d.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?