Example 5: A narrow light beam in vacuum contains light of two wavelengths, 480 nm and 700 nm. It strikes a flat piece of glass at an angle of incidence of 60.000°. The index of refraction of the glass is 1.4830 at 480 nm and 1.4760 at 700 nm. Determine the angle between the two wavelengths as the light travels in the glass.
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A: a) 2.25×108 m/sb) 2.04×108 m/sExplanation:The speed of light in a material can be calculated using…
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A: given n=1.31, θi = 30° (angle of incident)
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Q: n = 1.45
A: Refer attachment
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A: Step 1:
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Q: MY NOTES ASK YOUR TEACHER As shown below, light reflects off of the horizontal surface before…
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Q: diamond
A: The solution can be given as follows :-
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- A ray of light travels from a liquid-to-flexi glass interface at an angle of 45.0°. Indices of refraction for the flexi glass and liquid are, respectively, 1.3 and 1.5. What is the angle of refraction for the ray moving through the liquid?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.Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.65. What time in nanoseconds is required for a signal to travel 0.17 m through such a fiber? ns
- In 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 ray of light strikes a slab of glass at an angle of incidence of 35°. The angle of refraction in the glass is O 22° O 15.4° O 29.5° O 27.6° 35° n = 1.33 Glass n = 1.55A ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?
- 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 raysA parallel sided plate of glass with an index of refraction of 1.60 is in contact with the surface of water (n=1.33) in a tank. A ray coming from above makes an angle of incidence of 30.0° with the normal to the top surface of the glass plate. (a) What is the speed of light in the glass plate? (b) What is the critical angle between the glass and the water? (c) What angle does this ray make with the normal in the water? (d) Include a diagram of the situation. [Diagram 3 pts.]A light ray travels from air into a transparent material with an angle of incidence θi= 60.0. The observed angle of refraction is 39.6. Identify the material as either Water, Ethanol, Oil, or Diamond. Refraction index (n) of water= 1.33 Refraction index (n) of ethanol= 1.36 Refraction index (n) of oil= 1.52 Refraction index (n) of diamond= 2.42
- chapter 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.A beam of light is incident from the air on a transparent substance at an angle of 56 with respect to the normal, part of the beam is reflected and the other is refracted. It is observed that the reflected and refracted beams are mutually perpendicular. What is the refractive incidence of the transparent substance? What can you say about the reflected beam? Since you know both indices of refraction, suppose a light beam is incident from the medium with the higher index of refraction to the medium with the lower index of refraction. What is the critical angle to achieve total internal reflection?