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College Physics
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Problem 6: You switch from a 60x oil immersion objective with an NA of 1.40 to a 40x air immersion objective with an NA of 0.5. In this problem you can take the index of refraction of oil to be 1.51.
Part (a) What is the acceptance angle (in degrees) for the oil immersion objective?
Part (b) What is the acceptance angle (in degrees) for the air immersion objective?
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- A paperweight is made of a solid glass hemisphere of index of refraction 1.60. The radius of the circular cross section is 5.0 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.0 mm long line drawn on a sheet of paper. What length of line is seen by someone looking vertically down on the hemisphere? answer in mmarrow_forward= 1.0). An object (A) is Assume that a thin lens (r, placed in the left side of lens (d = 45mm) and the image of the object is located in the right side of the lens at position (B) (d' = 90mm). 1) Compute the refraction index of the lens (n2); = -r2 = 40mm) is placed in the air (n 2) If placing another negative thin lens (f2 = -180mm) immediately behind the first lens to create a doublet lens in which the spacing between two lenses is zero (as shown in the right figure), what is the focal length of this doublet? 3) Where is the final image position (C) of the object (A) through this new doublet? (Note: Assuming this doublet lens is a combined thin lens too without considering its thickness).arrow_forwardAn object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.arrow_forward
- ou 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 58.9° when submerged in ethanol, which has an index of refraction of 1.361?(b) What would the critical angle be for this substance in air? °arrow_forward(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? marrow_forwardA convex lens made of glass (n = 1.50) has a focal distance of 20 cm. An identical looking piece of plastic with same shape and thickness has a focal distance of 25 cm. Which of the following could be the index of refraction of the plastic? O 1.0 O 1.4 O 1.6 O 1.5arrow_forward
- not a graded assignmentarrow_forwardAn olive is at the bottom of a glass of alcohol (n = 1.36), 6.00 cm beneath the surface. Above the alcohol is air. To a person in the air, who is directly above the olive, what is the apparent depth d' of the olive. d' = Number i Unitsarrow_forwardBuilding 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 mmarrow_forward
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