A double concave thin lens has surfaces with radius of curvature of magnitude 4 cm and 6 cm respectively. This diverging lens has a focal length of 4.8 cm. (i) What is the index of refraction for this lens? What is the position, magnification, and character (inverted/upright; virtual/real) of the image for an object located (ii) 3 cm from the lens? (iii) 10 cm from the lens? (iv) Draw the ray diagram for (ii) or (iii).
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- Two converging lenses, each of focal length 15.1 cm, are placed 40.0 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed? The image is located 9.6| x 26.3 Your response differs from the correct answer by more than 10%. Double check your calculations. cm in front of the second lens. in front of the second lens. What is the magnification of the system? M = |-3.167 X -2.78 Your response differs from the correct answer by more than 10%. Double check your calculations.X Need Help? Read ItAn object is located 15.8 cm to the left of a diverging lens having a focal length f = −36.2 cm. (a) Determine the location of the image. distance cm location ---Select--- to the right of the lens to the left of the lens (b) Determine the magnification of the image.(c) Construct a ray diagram for this arrangement.(a) A 1.00 cm-high object is placed 3.45 cm to the left of a converging lens of focal length 7.05 cm. A diverging lens of focal length -16.00 cm is 6.00 cm to the right of the converging lens. Find the position and height of the final image. position height cm in front of the second lens cm Is the image inverted or upright? upright ○ inverted Is the image real or virtual? real virtual (b) What If? If an image of opposite characteristic, i.e., virtual if the image in part (a) is real and real if the image in part (a) is virtual, is to be obtained, what is the minimum distance (in cm), and in which direction, that the object must be moved from its original position? distance cm direction to the left
- A thick-walled wine goblet can be considered to be a hollow glass sphere with an outer radius of 4.10 cmcm and an inner radius of 3.60 cmcm. The index of refraction of the goblet glass is 1.50. (a) A beam of parallel light rays enters the side of the empty goblet along a horizontal radius. Where, if anywhere, will an image be formed? (b) The goblet is filled with white wine (nn = 1.37). Where is the image formed? Use the image from the previous part as the object for the second surface (the inner wall of the same side of the goblet) and find the position of the second image. Express your answer with the appropriate units.Problem 5: Two converging lenses, one with a focal length of 22.0 cm and the other with a focal length of 10.0 cm, are placed 25.0 cm apart with an object placed 50.0 cm in front of the converging lens. Determine (a) the position and (b) the magnification of the final image formed. (c) Show by ray tracing that the image is virtual or real, and determine the image distance and magnification. You must draw the ray diagram to scale to you may also use drawing/drafting software to draw the diagram.In the figure, a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 57.8 cm, measured along the central axis of the lens. The image is just 1/4 the size of the object. (a) What kind of lens must be used to produce this image? (b) How far from the object must the lens be placed? (c) What is the focal length of the lens? Lens here Axis (a) (b) Number i Units (c) Number i Units
- = A leaf of length his positioned d below. Leaf d 70.3 cm in front of a converging lens with a focal length of 34.0 cm. An observer views the image of the leaf from a position 1.26 m behind the lens, as shown in the figure 1.26 m (a) What is the magnitude of the lateral magnification (the ratio of image size to the object size) produced by the lens? (b) What angular magnification is achieved by viewing the image of the leaf rather than viewing the leaf directly?A biconcave lens has radii of curvature equal to R₁ = 31.0 cm and R₂ = 43.7 cm. A very distant object on the R₁ side of the lens forms an image. The lens medium has index of refraction 1.53 for violet light and 1.51 for red light. (a) Where is the image formed by violet light? (Enter your answer in cm and indicate the position of the image relative to the lens with the sign of your answer. Give your answer to at least two decimal places.) cm (b) Where is the image formed by red light? (Enter your answer in cm and indicate the position of the image relative to the lens with the sign of your answer. Give your answer to at least two decimal places.) cmAn object is 21 cm in front of a diverging lens that has a focal length of -9.6 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 2.6?