A light ray is incident on an equiliateral prism at an angle 6, with the normal. It strikes the second surface at the critical angle of 44.5°, as shown in the figure below. The angle of incidence 0, at the first surface is, 60° 44.5 O 45.2" 35.9° 22.4 10.5°
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- The index of refraction for a certain type of glass is 1.637 for blue light and 1.603 for red light. A beam of white light (one that contains all colors) enters a plate of glass from the air, nair 1, at an incidence angle of 36.05°. What is the absolute value of ô, the angle in the glass between blue and red parts of the refracted beams? |8| = IIThe figure shows a refracted light beam in linseed oil making an angle of p = 16.0° with the normal line NN'. The index of refraction of linseed oil is 1.48. Air N Linseed oil $1 (a) Determine the angle 8. (b) Determine the angle 0¹. WaterA 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…
- In the figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indices of refraction are n, = What is angle 0? (b) If 0 is increased, is there refraction of light into material 3? 1.60, n2 1.40, n3 = 1.18. (а) %3D le n2 (a) Number Units (b)The critical angle for a beam of light passing from water into air is 47.6°. This means that all light rays with an angle of incidence in the water that is less than 47.6° will be totally absorbed by the water. not enough information to answer. partially reflected and partially refracted. O totally reflected. O totally refracted.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:
- A 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.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) 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 =
- 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?A 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 0In the figure, light is incident at angle 8₁ = 39° 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 = 1.28, n₂ = 1.38, n3 = 1.34 and n4 = 1.45, what is the value of (a) 05 and (b) 04? 18₁ Air m n₂ 173 na