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Q: ir ater H X D
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- A scuba diver training in a pool looks at his instructor as shown in the figure on the next page. The index of refraction of water is 1.33.a. What angle does the ray from the instructor’s face make with the perpendicular to the water surface at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water surface is 25.0°. b. Find the height of the instructor’s head above the water. c. How much time does it take light to travel from the scuba diver to the instructor’s head? d. Find the apparent depth of the diver’s head below water as seen by the instructor.A 45°-90°-45° prism is constructed from a synthetic resin. As shown in the figure, a light beam that enters the prism at the midpoint of the long side and parallel to the base exits the prism at an angle of 28° below the horizontal. What is the index of refraction of this prism? 1.39 Have you drawn a figure showing all angles and established any relationships between the angles? Have you written a Snell's law statement for the light as it enters and exits the prism? Depending on how you solve the problem, you may need the identities tan a = sin a / cos a and sin(a + 6) = sin a cos pi cos a sin ß. Additional Materials ReadingA large hall in a museum has a niche in one wall. On the floor plan, the niche appears as a semicircular indentation of radius 3.85 m. A tourist stands on the centerline of the niche, 3.30 m out from its deepest point, and whispers "Hello." Where is the sound concentrated after reflection from the niche? m from the deepest point in the niche Need Help? Read It
- A person is standing a distance d = 1.35 m away from a mirror, which is m = 0.870 m above the ground, as shown in Figure 1. Light hits their foot, reflects off of the mirror, and enters their eye (this is how they see the reflection of their foot!). How tall are they? (Measure their height h from the ground to their eye, and don't worry about the small distance from their eye to the top of their head, which we do not have enough information to determine).A concave mirror produces a real inverted image that is almost exactly as tall as the object itself. If the object is 15.0 cm in front of the mirror: What is center of curvature of the mirror? Show the algebraic form of any equation(s) applied and report all answers with the correct units.A light ray is incident perpendicular to the left face of the shown prism made of glass (n = 1.6). What is the largest value of the angle p such that the light ray is totally reflected at the far right face if the prism is surrounded by air? Express your answer to the nearest degree.
- What is the critical angle for total internal reflection for glass in air? Assume that nglass= 1.50 and nair = 1.00.Light rays fall normally on the vertical surface of a glass prism (n = 1.6) as shown in Figure. 1)What is the largest value of θθ such that the ray is totally internally reflected at the slanted face? (Express your answer to three significant figures.) 2)Repeat the calculation if the prism is immersed in water with n=1.33. (Express your answer to three significant figures.)Spherical refracting surfaces. An object O stands on the central axis of a spherical refracting surface. For this situation (see the table below, all distances are in centimeters), nį is the index of refraction where the object is located, n2 is the index of refraction on the other side of the refracting surface. Find (a) the image distance i, and determine whether the image is (b) real or virtual and (c) on the same side of the surface as object O or on the opposite side. (a) (b) (c) n1 n2 p ri R/V Side 1.5 1.3 +70 +56 (a) Number i Units (b) (c) > >
- cem 1 1 of 1 Use this information for parts G, H and I. The sideview mirror on your car is convex. When looking in this mirror, you see a car that has an actual distance of 100 m behind you (the distance from the car to the mirror) and the image appears to be only -1.961 m from the mirror. Part G What is the focal length of this mirror? Answer in units of m to four significant figures. Do not Include the units symbol. Submit Request Answer Part H If the image of the car appears to be 2.941×10¬2 m tall, what is the height of the actual car? Answer in units of m to four significant figures. Do not include the units symbol. ? Submit Request Answer Part IA beam of light is incident on a square piece of glass with side s = 10.0 cm and index of refraction 1.50. The angles are shown in the figure to scale (you can count the blocks to measure them if you don't have a protractor). Where does the beam exit the glass? Assume the glass is in air (n = 1.00).