Light goes from a material having a refractive index of n1 into a material with refractive index n2. If the refracted light beam takes the path as shown in the figure below, what can you conclude about the indices of refraction? n1 n2 Incident ray n1 < n2 n1 zn2 n1 = n2 n1 > n2 n1 sn2 O O O
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- A light ray enters a rectangular block of plastic at an angle 0, = 47.8° and emerges at an angle 0, = 73.2°, as shown in the figure below. (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? nsThe figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n = 1.02.) e₁ n = 1.60 02 n = 1.40 n = 1.20 MA (a) If ₁ = 28.0°, what is the angle 2 of the emerging beam? o 1 (b) What is the smallest incident angle ₁ to have total internal reflection at the surface between the medium with n = 1.20 and the medium with Па = 1.02?The index of refraction for material 1 is 1.36; for material 2 it is 1.66. Light travels 1.5 m in the first material before hitting the second material, where it travels another 1.5 m. What is the total time taken for the light to travel the total distance? Speed of light c = 2.998 x 108 m/s Total time in the two materials = = 1.51 S Reflect on the order of magntitude of this time. Is this a perceptible time delay? ! No, that's not the correct answer.
- A light beam traveling in air with a wavelenght of 600 nm enters a glass block. If the index of refraction, n=1.5, what is th wavelength of the beam in the glass? 300 nm 900 nm 450 nm 600 nm 400 nmIn the figure shown, a light ray travelling through air (n=1.0) strikes the surface of an unknown material. The soeed of light in this unknown material is only 1.2E8 m)s, and the angke marked (alpha) in the figure is 30 degrees. A) What is the index of refraction of the unknown material? B) What is the angle marked (Beta) in the figure? 2) Draw a history graph for the position x= -2m for the same wave pulse shown in the diagram figure above. Show some mathematical proofsA light ray travels through three parallel slabs having different indices of refraction as in the following figure. The rays shown are only the refracted rays. Rank the materials according to the size of their indices of refraction, from largest to smallest. na > nb > nc nb > nc > na nc > na > nb na > nc > nb
- A light ray is incident at 45° on a glass block immersed inside a liquid of refractive index nL = 1.33 as shown in the figure below. In this configuration, the refractive ray skims the bottom surface. Determine the refractive index of the glass, ng. ng 45° ng = 1.63 ng = 1.7 ng = 1.48 ng = 1.51 O ng = 1.57A ray of light is incident at angle ?θ = 59° on the side of two stacked transparent blocks. The bottom block has index of refraction ?1n1 = 1.41. The ray enters the top block at angle ?ϕ = 40.6°. What is the index of refraction ?2n2 of the top block? Note: Angles may not be drawn to scale.A thin beam of light makes an angle of 60° with the surface (not the normal) of a body of water (n = 1.33). Once the light beam refracts into the water what angle does the beam make with the surface of water? 30° 68° 22° 60°
- 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.ºA light ray strikes a 10-cm-thick glass pane, making a 30° angle to the perpendicular to the glass as it enters. When the ray reemerges into air on the other side of the pane, how much has it been displaced from where it would have been if the glass weren't there (this is the distance d indicated in the figure below)? A 1.25 cm B 2.23 cm C 1.94 cm D 2.46 cmLight 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.