A diffraction grating is placed in front of a laser beam, resulting in various bright spots appearing on a screen. Given the following values, and the positions of the dots on the screen (in metres), find the distance from the grating to the screen, in metres.
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Q: Homework 11, Problem 3
A: Step 1: Step 2: Step 3: don't forget to upvote thank you :) comment if doubt exists Step 4:
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- A beam of light is incident on a hemispherical prism at an angle, theta, as shown in the figure. If the index of refraction of the prism is 1.60, what is the critical angle (in degrees) for no transmitted light out of the bottom of the prism? Assume the index of refraction for air is 1.00 and the index of refraction for the water is 1.33.A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glassF: (a) In figure below, a beam of monochromatic light reflects and refracts at point A on the interface between material 1 with index of refraction n₁ = 1.77 and material 2 with index of refraction n₂ = 1.33. The incident beam makes an angle of 50° with the interface. What is the angle of reflection at point A? What is the angle of refraction there? (b) What is the angle of reflection at point B? What is the angle of refraction there? 50° e, ie A 18 721 Tho no ng Air A| 8₂0
- 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...What is the index of refraction of a material for which the wavelength of light is 0.6143 times its value in a vacuum? (Enter your answer to at least three decimal places. Use any necessary data found in this table.) 1.628 Identify the likely substance. glycerineA 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?
- White light strikes the left face of a 300-60°-90° glass prism along a normal to the surface (so there is no refraction there). The light moves horizontally through the prism and strikes the right face at an angle of 30.00° to the normal. As the light leaves the prism it is refracted at the right face. DO ALL CALCULATIONS TO 4 SIGNIFICANT FIGURES! What is the DIFFERENCE in the refracted angles for red light (ned = 1.567) and violet (niolet = 1.613)? Find (8, - e,), where e, and e, are the angles of refraction for violet and red light. 313 PMFigure 3 shows a beam of light incident on a glass plate of thickness d and index of Air Glass T Air refraction (a) Find the angle of incidence so that the perpendicular separation between the ray reflected from the top surface and the ray reflected from the bottom surface and exiting the top surface is a maximum.(show all steps clearly) (b) What is this angle of incidence if the index of refraction of the glass is 1.54? (c) (c) What is the separation of the two beams if the thickness of the glass plate is 5.5 cm?Lunar astronauts placed a reflector on the Moon’s surface, from which a laser beam is periodically reflected. The distance to the Moon is calculated from the round-trip time. What percent error is this, given the average distance to the Moon is 3.84 × 108 m?
- A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 10¹4 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?Fig. 1 shows a laser beam incident on a piece of wet filter paper placed on a glass plate whose 'refractive indexglass plate whose refractive index is to be measured (the rays are represented in the figure). Explain what happens anddeduce an expression for ni in terms of R and d. Consider the refractive index of air to be 1.Note: Remember that all light that falls on a reflecting surface always has part of the light reflected, being refracted or not.refracted or not. Moreover, θc in the figure represents the critical angle at which we have the condition of total internal reflection