help please Problem DescriptionA laser beam travels from air (n=1) into glass (n=1.5) and then into gelatin. The incident ray makes a 58.0° angle with the normal as it enters the glass and a36.4° angle with the normal as it enters the gelatin.InstructionsIn a neat and organized fashion, write out a solution which includes the following:1. A sketch of the physical situation with all given physical quantities clearly labeled.2. Draw a ray diagram showing all reflected and refracted rays in this situation and all angles clearly labeled.3. Determine (a) the angle the refracted ray makes with the normal in the glass and (b) the index of refraction of the gelatin. Clearly show all steps, startingfrom generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought processbehind why you did that.4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in yourevaluation.

Answered: Image /qna-images/answer/43112d60-c8ab-4a01-9648-02dc6f26ce29.jpg

Determine (a) the angle the refracted ray makes with the normal in the glass and (b) the index of refraction of the gelatin. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process pehind why you did that.

Determine (a) the angle the refracted ray makes with the normal in the glass and (b) the index of refraction of the gelatin. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process pehind why you did that.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: The Nature Of Light And The Principles Of Ray Optics

Section: Chapter Questions

Problem 32AP

See similar textbooks

Similar questions

Unreasonable results Suppose light travels from water to another substance, with an angle of incidence of 10.0and an angle of refraction of 14.9 . (a) What is the index of refraction of the other substance? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A Fermats principle of least time for refraction. A ray of light traveling in a medium with speed v1 leaves point A and strikes the boundary between the incident and transmitted media a horizontal distance x from point A as shown in Figure P38.98. The refracted ray travels with speed v2 in the second medium, eventually reaching point B. The horizontal distance between points A and B is L. a. Calculate the time t required for the light to travel from A to B in terms of the parameters labeled in the figure. b. Now take the derivative of t with respect to x. What is the condition for which the ray of light will take the shortest time to travel from A to B? Figure P38.98
A beam of light always spreads out. Why can a beam not be created with parallel rays to prevent spreading? Why can lenses, mirrors, or apertures not be used to correct the spreading?
7) Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rays coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the instructor at an apparent angle of θa = 35°, measured from the normal to the interface. Randomized Variables θa = 35° a) Find the height of the instructor’s head above the water in meters, noting that you will first have to calculate the angle of incidence (you can take the indices of refraction to be na = 1 for air and nw = 1.33 for water). b) Find the apparent depth of the diver’s head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water.
Chapter 25: Problem 7: Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rays coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the instructor at an apparent angle of θa = 26°, measured from the normal to the interface. Randomized Variables θa = 26° a) Find the height of the instructor’s head above the water in meters, noting that you will first have to calculate the angle of incidence (you can take the indices of refraction to be na = 1 for air and nw = 1.33 for water). b) Find the apparent depth of the diver’s head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water.
M12A case sample is attached.Please solve the question number 2 only. 1. A ray of light from within the diamond towards air, what is the angle of refraction if:a. the angle of incidence is 5 degrees?b. the angle of incidence is 24.41 degrees?2. What is the angle of deviation if a ray og light in diamond is incident at an angle of 32 degrees? ( this is an example of TIR)
11: A ray of light is incident on an air/water interface. The ray makes an angle of θ1= 25 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2= 1.33. (A)- attached as picture (b) Numerically, what is the angle in degrees? (c) Write an expression for the reflection angle ψ, with respect to the surface. (d) Numerically, what is this angle in degrees?
A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 19 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, θ2. Part (b) Numerically, what is the angle in degrees? Part (c) Write an expression for the reflection angle ψ, with respect to the surface. Part (d) Numerically, what is this angle in degrees?
10. Light rays from the Sun, which is at an angle of 25.4° above the western horizon, strike the still surface of a pond. (a) What is the angle of incidence of the Sun's rays on the pond? (b) What is the angle of reflection of the rays that leave the pond surface? (c) What is the angle of refraction if the light rays go to the pond water and the refractive index of air is 1.00 and for water is 1.33? Explain with a diagram.
A beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For example, the indices of refraction in diamond are nred=2.410for red light and nblue=2.450blue=2.450 for blue light. Thus, blue light and red light are refracted at different angles inside the diamond, as shown in the picture. The surrounding air has nair=1.000 Note that the angles in the figure are not to scale. Now consider θc, the angle at which the blue refracted ray hits the bottom surface of the diamond. If θc is larger than the critical angle θcrit, the light will not be refracted out into the air, but instead it will be totally internally reflected back into the diamond. Find θcrit.
Problem 6: Fiber optics are an important part of our modern internet. In these fibers, two different glasses are used to confine the light by total internal reflection at the critical angle for the interface between the core (ncore = 1.508 ) and the cladding (ncladding = 1.43). Part (a) Numerically, what is the largest angle (in degrees) a ray will make with respect to the interface of the fiber θmax, and still experience total internal reflection? Part (b) Suppose you wanted the largest angle at which total internal reflection occurred to be θmax = 5 degrees. What index of refraction does the cladding need if the core is unchanged?
Problem #6 A) A visible light wave has a wavelength of 470 nm. What is its frequency in a vacuum? B) The light wave enters a medium with an index of refraction of 1.7. If its frequency remains the same, what is its new wavelength (in nm)? C) If the angle of incidence in part (b) was 24°, what is the refracted angle in the new medium? D) Some of the light in part (b) will be reflected at the surface of the new medium. What is the angle of reflection? E) What is the critical angle for the Fight from part (b) to be totally internally reflected if it reaches a boundary layer of water (n = 1.33)?