A concave mirror forms an image, on a wall 3.00 m in front of the mirror, of a headlamp filament 10.0 cm in front of the mirror. Suppose that the lower half of the mirror’s reflectingsurface is covered with nonreflective soot. What effect will this have on the image of the filament?
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A concave mirror forms an image, on a wall 3.00 m in front of the mirror, of a headlamp filament 10.0 cm in front of the mirror. Suppose that the lower half of the mirror’s reflecting
surface is covered with nonreflective soot. What effect will this have on the image of the filament?
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- A beam of light travelling through glass meets the interface with air at an incidence angle of i = 30° and is refracted at an angle r = 45°. At what angle does total internal reflection occur for this interface? angle =(a) An opaque cylindrical tank with an open top has a diameter of 2.65 m and is completely filled with water. When the afternoon sun reaches an angle of 31.0° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank (in m)? 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? mSunlight strikes the surface of a lake. A diver sees the Sun at an angle of 38.6\deg with respect to the vertical. What angle do the Sun's rays in air make with the vertical?
- An object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.The critical angle for a total internal reflection at air and glass interface is 39.0°. What is the speed of light in this glass? (c = 3.00×108 m/s)What is the critical angle for total internal reflection for glass in air? Assume that nglass= 1.50 and nair = 1.00.
- A ray of light is incident in air on a block of a transparent solid whose index of refraction is n. If n = 1.38, what is the largest angle of incidence θa for which total internal reflection will occur at the vertical faceAn object is placed 9.50 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 4 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 23 mm from the center of the lens.A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60° from the normal. After entering the glass, what is the ray’s angle from the normal?
- Light is incident normally on the short face of a 30-60-90° prism. A drop of liquid is placed on the hypotenuse of the prism. If the index of refraction of the prism is 1.56, find the maximum index that the liquid may have for the light to be totally reflected.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.