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true or false?
The critical angle for a material is the angle at which all light striking at that angle or greater will experience total internal reflection.
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- Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.Fiber optic cables use the concept of total internal reflection to keep 100% of the incident light within the cable. Why must the inner core of the cable have a higher index of refraction than the cladding?
- A light ray incident on the interface between air and glass can undergo total internal reflection. In which media does the incident ray need to be in order to undergo total internal reflection? Explain why.As shown in the figure, a cube of crown glass with an index of refraction of 1.52 is submerged in a liquid with an unknown index of refraction. If a ray of light enters the cube of crown glass with an angle of incidence in the liquid of 33.5° and travels through the glass to the point A, determine the maximum value of the index of refraction of the liquid that will allow total internal reflection to occur at this point.The drawing shows a horizontal ray of white light incident perpendicularly on the vertical face of a prism made of crown glass. The ray enters the prism, and part of the light undergoes refraction at the slanted face and emerges into the surrounding material. The rest of the light is totally internally reflected and exits through the horizontal base of the prism. The colors of light that emerge from the slanted face of the prism may be chosen by altering the index of refraction of the material surrounding the prism. Find the required index of refraction of the surrounding material so that (a) only red light and (b) all colors except violet emerge from the slanted face of the prism. Take n = 1.520 for crown glass for red light, and n = 1.538 for crown glass for violet light. (a) Number (b) Number i i Units Units 45.00⁰ 90.00⁰ >
- What is the critical angle for a piece of glass (n = 1.5) immersed in water? In which material must the initial ray be located for total internal reflection to occur?Light enters at right angle through one of the catheti of a right-angle isosceles prism which is made of glass with an index of refraction of 1.620. Because the angle of the ray with the normal when entering into the glass is zero, the ray passes straight through and strikes the interior of the hypotenuse of the prism. What is the largest value for the index of refraction of the surrounding medium which would still cause total internal reflection inside the prism?Consider a layer of Oil, Glass, and Air where the oil/glass boundary is parallel to the glass/air boundary. Let the index of refraction for the glass be 1.55 and the index of refraction for the oil to be 1.31. At what angle relative to the normal should a ray of light be directed upon the oil/glass interface such that it strikes the glass/air interface at the critical angle?
- A type of glass has a critical angle of 40 degrees for total internal reflection. Its refractive index is _____.The critical angle for total internal reflection at a liquid–air interface is 42.5. (a) If a ray of light traveling in the liquid has an angle of incidence at the interface of 35.0, what angle does the refracted ray in the air make with the normal? (b) If a ray of light traveling in air has an angle of incidence at the interface of 35.0, what angle does the refracted ray in the liquid make with the normal?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 face