23) A submarine is 380 m horizontally out from the shore and 150 m beneath the surface of the water. A laser beam is sent from the sub so that it strikes the surface of the water at a point 270 m from the shone. If the beam just strikes the top of a building standing directly at the water's edge, as shown in Figure Con the board, find the height of the building. The index of refraction of air is 1.00, and that of water is 1.333.
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- (a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0⁰ if the angle of incidence is 46.0°? See figure below. Visible light O Angular spread O Deviation of red light Y G B V Screen (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?A fiber optic is made with a material that has an index of refraction of 1.83. What would the critical angle for this material be at the border between it and air?(b) How does the index of refraction relate to the speed of light in a medium? If the index of refraction of water is 1.33, calculate the speed of light in water. Give one application of total internal reflection.
- A glass optical fiber is used to transport a light ray across a long distance. The fiber has an index of refraction of 1.530 and is submerged in glycerin, which has an index of refraction of 1.473. What is the critical angle (in degrees) for the light ray to remain inside the fiber? Need Help? Read Itou can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 58.9° when submerged in ethanol, which has an index of refraction of 1.361?(b) What would the critical angle be for this substance in air? °You are using a transparent tube as an optical fiber in open air (nair = 1.00). You have calculated that the critical angle for the fiber is 44.5°. (a)What is the index of refraction of your optical fiber? Nfiber (b) To make your fiber more durable, you encase it in a cladding with an index of refraction equal to ncladding 1.33. Will the beam be reflected into the fiber or will it leak into the cladding when the %3D incident angle inside the fiber is Oincident 59.7?
- (a) An opaque cylindrical tank with an open top has a diameter of 2.60 m and is completely filled with water. When the afternoon sun reaches an angle of 31.5° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank (in m)? 4 Determine how the depth of the tank is related to the angle of refraction for the geometry described in the question. Drawing a diagram may be helpful. Then apply Snell's law to find the angle of refraction and use it to determine the depth of the water in the tank. m (b) What If? On winter solstice in Seattle, the sun reaches a maximum altitude of 19° above the horizon. What would the depth of the tank have to be (in m) for the sun not to illuminate the bottom of the tank on that day? m(a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 45.0°? See figure below. Visible light O Angular spread 0 Deviation of red light B V Screen R (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?Red light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 45.66 1.36 30⁰ 1) What is 2, the angle the beam in the prism makes with the horizontal axis? 71.9 d degrees Submit 2) What is n, the index of refraction of the prism for red light? dviolet d Submit Submit 02 3) What is 3, the angle the transmitted beam makes with the horizontal axis? h degrees Submit 03 degrees Submit (+) 4) What is 41,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit + + 5) The red beam is now replaced by a violet beam that is incident at the same angle 1 and same height h. The prism has an index of refraction nviolet = 1.46 for violet light. Compare dviolet, the exit distance for…
- . A plastic-coated window consists of Perspex and glass. At the Perspex to glassinterface the angle of refraction is 30.00. and the angle of incidence is 20.00. Ifthe refractive index of the glass is 1.75, what is the refractive index of thePerspex?You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 51.0° when submerged in carbon tetrachloride, which has an index of refraction of 1.461? (b) What would the critical angle be for this substance in air?A student stands dsub0=2.4 m in front of a floor-to-ceiling mirror. Her eyes are hsube=1.53 m above the floor and she holds a flashlight at a distance hsubf=.55 m above the floor. Calculate the angle in degrees that the flashlight makes with respect to the floor if the light is reflected into her eyes.