3. The thin lens formula is 1 1 1 = where f is the focal length of the lens and o and i are the distances from the lens to the object and image. If i = 15 when o = 10, use differentials to find i when 0 = 10.1.
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A: Given :- lens formula 1/s+1/s'=1/f
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A: Given,
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- 1. An amateur astronomer has a telescope to examine distant stars and nebulae. The focal length of the main objective lens of the telescope is f= 710 mm. At what distance from the lens will a distant star be imaged using this objective lens? Give your answer in units of metres.A match is held a distance s, 14.0 cm to the left of a lens as shown in the picture. The corresponding image for the match is located at s; = 22.2 cm to the right of the lens (not pictured). Answer the two questions below, using three sig figs. -SoA convex lens is set up on a table. On one side is an illuminated object of size 5 cm that is 28 cm from the lens. The focal length of the lens is 9 cm. 1. Where will the image be located, i.e. q (in cm)? 2. What will be the magnification? 3. Will the image be real or inverted? 4. Will the image be upright or inverted? 5. What will be the size of the image. In canvas, write only the magnitude of the size in cm. For a convex lens, 'p' and 'f' are positive.
- 13. A student builds the following setup (see figure below) to measure the focal length of the lens C. He knows that it has a focal length of approximately 5 cm. He therefore places the object (a pin on a post) about 6 cm in front of the lens and proceeds to slide the screen back and forth to find the image. Can you give him some advice on how to improve his setup? Give your reasons.Problem 14: Some telephoto cameras use a mirror rather than a lens to magnify distant objects. What radius of curvature R, in meters, does the mirror need to have to replace a 650 mm focal length telephoto lens?6. A thin positive lens is used to enlarge the image of a slide on a wall 10 m from the lens. If the slide is 20 x 30 mm², and the image occurs 2 x 3 m², what is the focal length from the lens and the distance from the slide to the lens
- A person's near point is 55 cm. What is the minimum power lens that would enable the person to see newsprint at 25 cm? a. +0.022 diopters b. +2.18 diopters c. +4.58 diopters d. +5.82 dioptersWhat is the amount of magnification of a refracting telescope whose objective lens has a focal length of 1.0 m and whose eyepiece has a focal length of 25 mm? а. х 8.0 O b.x 40 Ос. х 32 d.x 16 О е.х 24Anil
- 2. A Nikon 50mm camera lens is approximated as a cylinder with a diameter of 72mm and a length of 52.5mm. Determine the volume of the lens in cubic inches. Use correct significant figures in your answer. Assume 1cm = 10mm, 2.54cm = 1 in. Veylinder = ar2h4. A convex (converging) lens produces a real, inverted image of an object that is magnified 2.20 times when the object is 37.0 cm from the lens. What is the focal length of the lens? cmA small insect is placed 5.40 cm from a 6.00-cm-focal-length lens. a) Calculate the position of the image. Follow the sign conventions. Express your answer using two significant figures and include the appropriate units. b) Calculate the angular magnification. Express your answer using two significant figures.