6. An object is positioned near a convex spherical mirror as below. (Numbers are provided to help you count grid lines.) (a) Draw a ray trace using any two principal rays. (b) Confirm the position of the image and the magnification mathematically.
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(a)
Image is formed behind the mirror.
F represents the focus of the mirror.
Position of the image is 3 units right of the mirror.
Magnification of the image is ratio of height of image to the height of object.
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- 2. A meter stick is held length wise along the principle axis of a concave mirror. The focal length of the mirror is 40 cm the zero end of the meter stick is L=65 cm from the mirror, %3! Meter stick 100 cm L (A) What type of image (real or virtual) will be formed? Justify/explain. (2 points) (B) How long is the image of the meter stick? Show your work. (8 points)Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm from the lens. The focal length is 3 cm. What type of vision are they used to correct? Give both names. How do they do this? Explain.* 32. Use ray diagrams to locate the images of the following objects: (a) an object that is 10 cm from a convex lens of +15-cm focal length and (b) an object that is 10 cm from a concave lens of -15-cm focal length. (c) Calculate the image locations for parts (a) and (b) using the thin lens equation. Check for consistency.
- 3. Two converging lenses above are placed 20.0 cm apart, both with focal lengths of 10.0 cm. A candle is 30 cm away from the first lens. By means of a neat ray tracing, locate the final image formed by the combination of the two lenses. b) Use mathematics to fully describe the image created by the lenses.6. A 2.0 cm tall object is 15 cm in front of a converging lens that has a 20 cm focallength.(a) Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or a paper with a grid. Determine the image distance and imageheight by making measurements on your diagram.(b) Calculate the image position and height. Compare with your ray-tracing answers in part a.3. A cell phone has a fixed focal length lens of f = 3.85 mm = 0.00385 m and can take pictures over a range of distances from S. = 0.5 m to S,= infinity. Over what range of distances (S₁) does the lens in the cellphone have to move to focus an image at these two extremes in object distance?