In Figure (a), a beam of light in material 1 is incident on a boundary at an angle of e, = 30°. The extent of refraction of the light into material 2 depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values. The vertical axis scale is set by O2g = 18° and e26 = 42°. (a) What is the index of refraction of material 1? (b) If the incident angle is changed to 80° and material 2 has n2 = 2.8, then what is angle 02? 30 1.3 1.5 1.7 1.9 (a) (b) (a) Number i Units (b) Number i Units

In Figure (a), a beam of light in material 1 is incident on a boundary at an angle of e, = 30°. The extent of refraction of the light into material 2 depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values. The vertical axis scale is set by O2g = 18° and e26 = 42°. (a) What is the index of refraction of material 1? (b) If the incident angle is changed to 80° and material 2 has n2 = 2.8, then what is angle 02? 30 1.3 1.5 1.7 1.9 (a) (b) (a) Number i Units (b) Number i Units

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A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is \theta i = 44\deg . Part (a) If the refraction angle of the light at the upper surface of the slab is \theta 1, express sin\theta 1 in terms of \theta i, na, and ng. Part (b) The incident angle of the light on the lower surface of the slab is \theta 2. What is the relation between \theta 1 and \theta 2? Part (c) The refraction angle of the light on the lower surface of the slab is \theta f. Express sin(\theta f) in terms of \theta 2, na, and ng.
Problem 9: A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, θ2. Part (b) Numerically, what is the angle in degrees?
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ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. a.)What is the angle of refraction, ?2, that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.) With what angle of incidence, ?3, does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.) c.) With what angle of refraction, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) d.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?