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- Part (b) Numerically, what is the angle in degrees? θ2= Part (c) Write an expression for the reflection angle ψ, with respect to the surface. ψ = Part (d) Numerically, what is this angle in degrees? ψ =A case sample is attached.Kindly compute for the following case exercises:1. What is the refractive index of this spectacle medium if the a speed of light passing thru it is 124,000 mps? What material is this?A light is to be placed above the center of a circular area of radius a. What height gives the best illumination on a circular walk surrounding the area? (When light from a point source strikes a surface obliquely, the intensity of illumination is I = (k sinA)/d^2 where A is the angle of incidence and d the distance from the source.) [Show your answer on the nearest hundredths]
- PARTS (a), (b), AND (c) ALREADY HAVE CORRET ANSWER. PLEASE PROVIDE FORMULA FOR PARD (d) A ray of monochromatic light is incident on the face of a prism in the shape of an equilateral triangle (that is, the apex angle of the prism is 60.0°). The incidence angle of the light ray is 76.6°. The prism is made of a transparent material with an index of refraction of 1.492 (at the light ray's wavelength). (a) Calculate the angle of refraction at the first surface (in degrees). (Round your answer to at least one decimal place.) 40.69° (b) Calculate the angle of incidence at the second surface (in degrees). (Round your answer to at least one decimal place.) 19.31° (c) Calculate the angle of refraction at the second surface (in degrees). (Round your answer to at least one decimal place.) 29.56° (d) Calculate the angle between the incident and emerging rays (in degrees). (Round your answer to at least one decimal place.) ?????°A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. A) The transmitted beam that exits the hypotenuse of the prism makes an angle of ? = 17.5° with the direction of the incident beam. What is the index of refraction of the prism? B) In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism?Solve the following problem carefully. Write your detailed solutions.1. A professional diver wears a head light and peers up to the water's surface. What is the water's index ofrefraction if the minimum angle to the vertical resulting in total internal reflection is 30 degrees? ???? = ?. ?? Given: Solution: Please write it clearly!
- A case sample is attached.Kindly compute for the following case exercises:1. If light has a speed of 118,000 mps in a transparent material, what is the index refraction of that material?2. How fast will light travel through a material of refractive index of 1.53?You are standing 1.7 mm from a mirror, and you want to use a classic camera to take a photo of yourself. This camera requires you to select the distance of whatever you focus on. Part A What distance do you choose? Express your answer with the appropriate units. Part B If the mirror was on the Moon at a distance of 4.38×108 mm away, and you directed a laser beam towards it; how long would it take the beam to travel to the miror, get reflected, and return back to you?Hints:velocity=distancetime��������=������������c = 3 x 108 m/s Express your answer with the appropriate units.If the incident ray at point A is at the critical angle between mediums 2 and 3, does the ray incident at point B refract out of medium 2 into 3? If so, what is the (i) angle of refraction at point B? If not, what is the reflected angle at point B? (ii) What is the initial angle θ at point C?
- Figure 1 shows a light ray striking a window. draw a the path of the light ray through the window.(b) Explain why the light ray behaves as it doesin the glass.(c) Will the angle of refraction ever reach 90°?Explain.If the incident ray at point A is at the critical angle between mediums 2 and 3, does the ray incident at point B refract out of medium 2 into 3? If so, what is the (i) angle of refraction at point B? If not, what is the reflected angle at point B? (ii) Draw an accurate ray diagram at point B. (iii) What is the initial angle θ at point C?Please refer to part (b). Here, theta (the angle the incident ray makes with respect to the vertical) is 50.7 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)?