Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects. In the figure, a double-glazed window consists of two identical panes of glass (ng 1.54), each yg = 62.0 mm thick, separated by an air gap of ya = 49.6 mm. = Use na = 1.00 for the index of refraction of air. If light incident on the glass makes an angle of = 40.00⁰ with respect to the glass, find the shift in path Ax as the light enters the room. Ax = 42.36
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- The absolute index of refraction for a substance is 2.0. In this substance what is the critical angle to get total internal reflection/refraction for light incident on a boundary with air? Note: speed of light in a vacuum is c = 3x108 m/sUsing filters, a physicist has created a beam of light that consists of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). He aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of 0, = 43.8°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n 400 nm = 1.53 n 500 nr = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? 400 nm light is bent the most 500 nm light is bent the most 650 nm light is bent the most all colors are refracted alike (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) O400 nm (ii) O500 nm (iii) O650 n O nmPart of your refraction experiment is on performing a total internal reflection. You measure the critical angle for some oil as 40o. Therefore the refractive index of that oil should be Group of answer choices 2.02 1.56
- A beaker with a mirrored bottom is filled with a liquid whose index of refraction is nliq = 2.37. A light ray from air strikes the top surface of the liquid at an incident angle θin = 72.9° from the normal line to the liquid surface, as shown in the figure. What is the refraction angleθ1 of the light ray as it enters the liquid (in degrees; remember to use the scientific notation of numbers)?A light ray traveling in water is incident upon a transparent medium. The angle of incidence is 45.0°, and the transmitted ray is refracted at an angle of 20.0°. What is the speed of light in the transparent medium (in m/s)? X What is the index of refraction of the transparent medium? How is it related to the speed of light in vacuum and the speed of light in the medium? m/sLight reflected from the front surface of a zircon windowpane (n = 1.923) has an intensity I₁. Light entering the glass undergoes multiple reflections. Let I2 be the intensity of light reflected after only one reflection at the back surface of the glass. Find the ratio I2/11. Assume normal incidence.
- Consider a light ray that enters and exits a prism as shown below. Suppose the material of the prism is unknown but the surrounding material has index of refraction n, = 1.3. Find the index of refraction for the material of the prism. n2 n1 22° 38° 9. n, = А. 1.479 D. 1.586 В. 1.635 Е. 1.333 С. 1.389 F. 1.527A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.) 0.27° 0.33° 0.36° 0.46° 0.54°In the figure, light is incident at angle θ1 = 37˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.26, n2 = 1.42, n3 = 1.32 and n4 = 1.45, what is the value of (a) θ5 and (b) θ4?
- The index of refraction of a certain glass is (1.44x10^0). What is the critical angle for total internal reflection at the glass-air interface? Express your result in degrees with three significant figures.ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.)What is the angle of refraction, ?2, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.) With what angle of incidence, ?3, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) c.) With what angle of refraction, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) d.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?