Consider the figure, which shows a parallel beam of light which impinges upon a transparent hemisphere. Air R The direction of the light beam is perpendicular to the flat face of the hemisphere. The radius of the hemisphere is R = 7.00 cm, and its index of refraction is n = 1.555. Assuming paraxial rays, what is the measure of q (in cm), the point at which the beam is focused? q = cm
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- As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction 0, for the light in the olive oil is 29.6°, determine the angle of incidence 0, in air and the angle of refraction 03 in water. The index of refraction for olive oil is 1.47. 0, = 83 = air n2 oil 13 waterCan you help me with the wrong. Please? Thank you.In order to identify an unknown material you are asked to solve for the critical angle of the material. In order to test this you set up a beam of light that strikes the unknown substance from air (n = 1.0) at an angle of 30° with respect to the normal. It continues on in the substance at an angle of 23° with respect to the normal. What is the critical angle for the unknown substance? 51° 55° 60° 63°
- An underwater scuba diver sees the Sun at an apparent angle of 31.0° from the vertical. What is actual direction of the Sun? ° (above the horizon)A student notices that the image produced from a large concave mirror of a distant skyscraper of height hs= 106 m is inverted and the magnitude of the height is |hiI = 1.46 m tall. The image is located di = 178 cm in front of the mirror. A)Write an expression for the distance between the mirror and the skyscraper, ds. B) What is the distance between the mirror and the skyscraper in meters? C) What is the focal length of the mirror, f, in centimeters?The drawing shows a rectangular block of glass (n = 1.52) surrounded by a liquid with n = 1.75. A ray of light is incident on the glass at point A with a 30.0° angle of incidence. At what angle does the ray leave the glass at point B? Number i Units 4
- H G F A E D In the image above, a light ray moves from a material with an index of refraction n2 = 1.46 into an material with an index of refraction n1 = 3. angle A + B = 90 degrees. %3D andgle B+C = 90 degrees. %3D angle C = 2 Calculate the angle of refraction, F. Give your answer with one decimal place.As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction 82 for the light in the olive oil is 34.8°, determine the angle of incidence e, in air and the angle of refraction e3 in water. The index of refraction for olive oil is 1.47. 83 = air oil waterplease answer
- Two plane mirrors make the angle a = 58.0° between them. A ray of light incident on one of the mirrors is reflected and it hits the second mirror, as shown in the figure. Determine the angle ẞ between the ray incident on the first mirror and the ray reflected off of the second mirror. B = BA layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 54.7 degrees, and the angle of refraction is 54.0 degrees. What is the index of refraction of the unknown liquid? Number i Units