Concept explainers
Why is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown in Figure P36.40. Both the top and bottom surfaces of the wedge are in contact with air. Monochromatic light of wavelength λ = 632.8 nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and ℓ = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the top and bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length ℓ of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes.
Figure P36.40
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Chapter 36 Solutions
Physics For Scientists And Engineers
- Light is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forwardHow many times will the incident beam in Figure P34.33 (page 922) be reflected by each of the parallel mirrors? Figure P34.33arrow_forwardThe critical angle for total internal reflection at a turpentine-air interface is 42.8°. A ray traveling in the liquid has an angle of incidence of 32.0° at the interface. What angle does the refracted ray in air make with the normal? O51.3° O 14.7° O 53.0° O 23.8° here to search Larrow_forward
- In the figure, a 2.3-m-long vertical pole extends from the bottom of a swimming pool to a point 50.0 cm above the water. Sunlight is incident at angle θ = 45.0°. What is the length in meters of the shadow of the pole on the level bottom of the pool? The water has an index of refraction of 1.33.arrow_forwardTwo light beams are incident normal to one surface of a triangular prism with refractive index n = 1.4 surrounded by air. What is the value of the angle between the two emerging beams, shown as a in the figure? d a 90° d 45° O 70.4° 73.7° O 61.8° 60.0° O 65.8° ..... ......arrow_forwardAn optical cable in air is orientated horizontally. The cable has a core and a cladding layer. The index of refraction for the core is 1.3 and the index of refraction for the cladding layer is 1.2. A light ray enters the center of the cable with an incident angle ß=58°. The ray is subsequently refracted at the core-cladding interface and the cladding-air interface. The angle between the exit ray and the cable wall is a. What is the angle a? The index of refraction of air is 1. ←cladding -corearrow_forward
- A fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38. What is the maximum incident angle, 0, so that the light ray is totally internally reflected inside the fiber?arrow_forwardPart (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 =arrow_forwardLight of wavelength 471 nm is incident on the face of a silica prism at an angle of θ1 = 75◦ (with respect to the normal to the surface). The apex angle of the prism is φ = 57.5◦. Given: The value of the index of refraction for silica is n = 1.455. Find the angle of refraction at this first surface. Answer in units of degrees. Find the angle of incidence at the second surface. Answer in units of degrees. Find the angle of refraction at the second surface. Answer in units of degrees. Find the angle between the incident and emerging rays. Answer in units of degrees.arrow_forward
- You are underwater, on the seafloor, looking up. Use n=1.33 for the index of refraction of water. At what range of angles, as measured above the seafloor, can you NOT see out of the water? (You will need a carefully labeled diagram showing just where the light is coming from, and a reasoned explanation of why your answer is correct.)arrow_forwardA light ray is incident at 45° on a glass block immersed inside a liquid of refractive index nį = 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° 1.66 1.55 O 1.69 1.49 1.63 1.58arrow_forwardThe index of refraction of the core of a piece of fiber optic cable is 1.72. If the index of the surrounding cladding is 1.41, what is the critical angle for total internal reflection for a light ray in the core incident on the core-cladding interface? a 55.1° b 44.0⁰ c 49.6° d 60.6°arrow_forward
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