A glass prism of angle 60° and index of refraction 1.5 is immersed in a liquid of refractive index 1.33. what is the angle of minimum deviation produced by the prism inside the liquid?
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- You are studying a rare species of small mushroom by growing them in a large tank filled with a 60percent glucose solution, which has an index of refraction of ns =1.44. In order to magnify the small mushroomsample, you have built a long glass rod with curved ends which you insert into the top of the tank. The glassrod has an index of refraction of ng =1.55. The lower curved end of the glass rod is 12cm above the mushroomsample, and its magnitude of curvature is |r1| = 6cm. The length of the glass rod is d = 25 cm, and the uppercurved end has a magnitude of the radius of curvature of |r2| = 10cm. The signs of both radii of curvature are leftto the student to determine from the figure below. The index of refraction of air is, as always, 1. Carry a largenumber of significant figures through the problem and simplify at the end.(a)Compute the final location of the image formed of the mushroom by the device.(b)Compute the total magnification of the glass rod.(a) An opaque cylindrical tank with an open top has a diameter of 2.60 m and is completely filled with water. When the afternoon sun reaches an angle of 31.5° above the horizon, sunlight ceases to illuminate any part of the bottom of the tank. How deep is the tank (in m)? 4 Determine how the depth of the tank is related to the angle of refraction for the geometry described in the question. Drawing a diagram may be helpful. Then apply Snell's law to find the angle of refraction and use it to determine the depth of the water in the tank. m (b) What If? On winter solstice in Seattle, the sun reaches a maximum altitude of 19° above the horizon. What would the depth of the tank have to be (in m) for the sun not to illuminate the bottom of the tank on that day? mRed light is incident in air on a 30° -60° - 90 ° prism as shown. The incident beam is directed at an angle of ₁ = 40.20 with respect to the horizontal and enters the prism at a height h = 20 cm above the base. The beam leaves the prism to the air at a distance d = 54.2 along the base as shown. 45.66 1.36 30⁰ 1) What is 2, the angle the beam in the prism makes with the horizontal axis? 71.9 d degrees Submit 2) What is n, the index of refraction of the prism for red light? dviolet d Submit Submit 02 3) What is 3, the angle the transmitted beam makes with the horizontal axis? h degrees Submit 03 degrees Submit (+) 4) What is 41,max, the maximum value of 1 for which the incident beam experiences total internal reflection at the horizontal face of the prism? degrees Submit + + 5) The red beam is now replaced by a violet beam that is incident at the same angle 1 and same height h. The prism has an index of refraction nviolet = 1.46 for violet light. Compare dviolet, the exit distance for…
- A small pin fixed on a table top is viewed from above from a distance of 50cm. By what distance would the pin appear to be raised if it is viewed from the same point through a 15cm thick glass slab held parallel to the table? Refractive index of glass = 1.5. Does the answer depend on the location of the slab?Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects. 62.0 mm In the figure, a double-glazed window consists of two identical of glass (ng panes 1.54), each yg thick, separated by an air gap of ya = 49.6 mm. Use na = 1.00 for the index of refraction of air. = If light incident on the glass makes an angle of = 40.00° with respect to the glass, find the shift in path Ax as the light enters the room. Ax = 42.36 Incorrect glass air glass mmAn optical fiber uses one glass clad with another glass. What is the critical angle? (Assume the glass in the fiber has an index of refraction of 1.69, and the glass in the cladding has an index of refraction of 1.51.)
- The critical angle for total internal reflection within a fiber optic cable is θC = 24.1°. What is the index of refraction (n) for the material it's made from?You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 51.0° when submerged in carbon tetrachloride, which has an index of refraction of 1.461? (b) What would the critical angle be for this substance in air?A laser beam is propagating within a piece of glass with refraction index n1 (1.9600x10^0). What is the critical angle of total reflection when it strike the interface to another medium with refraction index n2 (1.29x10^0). (Give answer in %3D %3D degrees to 3 sf) Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer