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In the figure, light from ray A refracts from material 1 (n1 = 1.60) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.3). (a) What is the value of incident angle θA? (b) If θA is decreased, does part of the light refract into material 3?
Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle θB? (d) If θB is decreased, does part of the light refract into material 3?
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- Consider scenarios A to F in which a ray of light traveling in material 1 is incident onto the interface with material 2. (Figure 1) Material 1 (n1) Material 2 (n2) A air (1.00) water (1.33) В water (1.33) air (1.00) diamond (2.42) air (1.00) D air (1.00) quartz (1.46) E benzene (1.50) water (1.33) F diamond (2.42) water (1.33) Part A For which of these scenarios is total internal reflection possible? List all correct answers in alphabetical order. For example, if scenarios A and E are correct, enter AE. • View Available Hint(s)A laser beam is directed toward the surface of a block of ice at an angle of 52.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block). Some of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted beams?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.
- Edward and Calil do some experiments to determine the speed of light in a special transparent material. They determine the speed of light to be 0.23c. Edward shines a light thru the material. Determine the critical angle in degrees for the light ray if there is a chamber of air above the material. Please give your answer as a whole number. (c is the speed of light in vacuum)A ray of light is incident on an air/water interface. The ray makes an angle of theta= 33 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Numerically, what is the angle in degree?Plot a graph of sin(θi) versus sin(θr) in an application such as Excel. Execute a linear regression fit and display the fit equation as well as the correlation coefficient.
- A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.A parallel sided plate of glass with an index of refraction of 1.60 is in contact with the surface of water (n=1.33) in a tank. A ray coming from above makes an angle of incidence of 30.0° with the normal to the top surface of the glass plate. (a) What is the speed of light in the glass plate? (b) What is the critical angle between the glass and the water? (c) What angle does this ray make with the normal in the water? (d) Include a diagram of the situation. [Diagram 3 pts.]A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction? Calculate to 1decimal.