A monochromatic beam of light is incident on a slab of unknown material at angle 0; = 50.0° (see figure below). If the angle at which the beam exits the slab is O; = 76.0°, what is the index of refraction of the slab?
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- A ray of light enters a liquid from air. If the angle between the incident and refracted rays is 133° and the angle between the reflected and refracted rays is 76°, find the refractive index of the liquid. Assume the refractive index of air is 1.00.A ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?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 beam of light is pointed at the surface of a block of crown glass at an angle of 40.0° with respect to the normal (a line perpendicular to the surface at the spot where the ray hits the block). Part of the light is reflected and the rest refracted. What is the angle (in degrees) between the reflected and refracted beams?A beam of monochromatic light strikes the interface between air and safflower oil (n = 1.466) at angle 0; and is refracted (see figure below). The beam next strikes the safflower oil-water interface at angle y = 23.2° and is refracted at angle t (a) What is angle 0;? O (b) What is angle 0₂? O 0₁ 10, Air Safflower oil Water(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 =
- A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.) 0.27° 0.33° 0.36° 0.46° 0.54°The figure below shows the path of a light beam through several slabs with different indices of refraction. (n4 = 1.01) 10% = n = 1.60 n = 1.40 n = 1.20 14 (a) If 01 35.0°, what is the angle 02 of the emerging beam? 63.12 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.ºIn Figure (a) below, unpolarized light is sent into a system of three polarizing sheets.The angles 0₁, 02, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 0₂. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 82 = 92⁰? Number Units 60° (b) 120° 180-