A ray of light strikes the midpoint of one face of an equiangular (60°-60°-60°) glass prism (n = 1.5) at an angle of incidence of 32°. (a) Trace the path of the light ray through the glass and find the angles of incidence and refraction at each surface. First surface: Oincidence %3D Orefraction %3D Second surface: %3D Oincidence %3D Orefraction (b) If a small fraction of light is also reflected at each surface, what are the angles of reflection at the surfaces? ° (first surface) Oreflection ° (second surface) Oreflection
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- A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of ?1 = 34.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle ?2 with respect to the normal. A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle ?1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle ?2 with the vertical. (a) Suppose that the second medium is flint glass. What is the angle of refraction, ?2 (in degrees)? (Enter your answer to at least one decimal place.) ° (b) Suppose that the second medium is fused quartz. What is the angle of refraction, ?2, in this case (in degrees)? (Enter your answer to at least one decimal place.) ° (c) Finally, suppose that the second medium is ethyl…A light ray enters a rectangular block of plastic at an angle 0, = 47.8° and emerges at an angle 0, = 73.2°, as shown in the figure below. (a) Determine the index of refraction of the plastic. (b) If the light ray enters the plastic at a point L = 50.0 cm from the bottom edge, how long does it take the light ray to travel through the plastic? nsA ray of light travels from air into another medium, making an angle of ?1 = 45.0° with the normal as in the figure below. (a) Find the angle of refraction ?2 if the second medium is flint glass. (b) Find the angle of refraction ?2 if the second medium is fluorite. (c) Find the angle of refraction ?2 if the second medium is glycerine.
- A convex refracting surface has a radius of 12 cm. Light is incident in air (n = 1) and refracted into a medium with an index of refraction of 1.5. Light incident parallel to the central axis is focused at a point:As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction 0, for the light in the olive oil is 29.6°, determine the angle of incidence 0, in air and the angle of refraction 03 in water. The index of refraction for olive oil is 1.47. 0, = 83 = air n2 oil 13 waterA ray of light is incident at angle ?θ = 59° on the side of two stacked transparent blocks. The bottom block has index of refraction ?1n1 = 1.41. The ray enters the top block at angle ?ϕ = 40.6°. What is the index of refraction ?2n2 of the top block? Note: Angles may not be drawn to scale.
- (a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =White light strikes the left face of a 300-60°-90° glass prism along a normal to the surface (so there is no refraction there). The light moves horizontally through the prism and strikes the right face at an angle of 30.00° to the normal. As the light leaves the prism it is refracted at the right face. DO ALL CALCULATIONS TO 4 SIGNIFICANT FIGURES! What is the DIFFERENCE in the refracted angles for red light (ned = 1.567) and violet (niolet = 1.613)? Find (8, - e,), where e, and e, are the angles of refraction for violet and red light. 313 PMA light ray in glass arrives at the glass-water interface an angle of 0 = 45° with the normal. The refracted ray in water makes an angle = 75° angle with the normal, as shown in the figure. The index of refraction of water is 1.33. The angle of incidence is now changed to 0 = 25°. What is the new angle of refraction in the water? water glass O O O O O 45.0⁰ 28.5° 35.3° 50.3° 48.1° 81 0