The reflecting dish of a car headlight is in the shape of a parabola that is 3 inches deep and 6 inches wide. So that the light reflects into the dish and out from the light parallel to the headlights axis of symmetry, how far from the base of the light should the light bulb be placed (round your answer to the nearest hundredth)?
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- The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?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?
- White light strikes the left face of a 300-60°-90° glass prism along a normal to the surface (so there is no refraction there). The light moves horizontally through the prism and strikes the right face at an angle of 30.00° to the normal. As the light leaves the prism it is refracted at the right face. DO ALL CALCULATIONS TO 4 SIGNIFICANT FIGURES! What is the DIFFERENCE in the refracted angles for red light (ned = 1.567) and violet (niolet = 1.613)? Find (8, - e,), where e, and e, are the angles of refraction for violet and red light. 313 PMA ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.511 for the red end of the spectrum and 1.537 for the violet end and an apex angle of 64.8 degrees. If the ray has an angle of incidence of 46.3 degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum upon exiting the prism? Measure this in degrees to 2 decimal places.A 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.)