Question

An object is placed at the origin. A lens of focal length, f, is placed at X=30 cm. A lens with a focal length of -20 cm is placed at x=35 cm, and a lens with a focal length of 10 cm is placed at x=43 cm. An image of the object is projected onto a screen located at X=57.7 cm. Determine the focal length, f, of the lens placed at X=30 cm and the total magnification.

          An object is placed at the origin. A lens of focal length, f, is placed at X=30 cm. A lens with a focal length of -20 cm is placed at x=35 cm, and a lens with a focal length of 10 cm is placed at x=43 cm.
An image of the object is projected onto a screen located at X=57.7 cm. Determine the focal length, f, of the lens placed at X=30 cm and the total magnification.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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An object is placed at the origin. A lens of focal length, f, is placed at X=30 cm. A lens with a focal length of -20 cm is placed at x=35 cm, and a lens with a focal length of 10 cm is placed at x=43 cm. An image of the object is projected onto a screen located at X=57.7 cm. Determine the focal length, f, of the lens placed at X=30 cm and the total magnification.
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Transcript

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00:01 Hello students, in this question we need to find image distance.
00:04 At first, one convex lens is placed.
00:09 Given focal length and object distance of that lens.
00:13 Now we need to find image distance.
00:15 For image distance, the formula will become 1 by f minus 1 by u.
00:21 Now focal length given is minus 10 cm.
00:26 Image distance is 20 cm.
00:28 From this, the value of v, image distance will become 20 by 3.
00:37 Next they had given that if a convex lens of focal length 15 cm is attached along with this at the distance of 12 cm, then what will be the final image distance.
00:52 In order to find focal length of that lens, again use the same formula.
00:58 At this, the focal length is given that is 15 cm and the object distance is, the lens is placed 12 cm away from the first lens.
01:14 The first lens object is placed 20 cm.
01:17 If 12 cm away from that lens, the object will become 8 cm to the another lens...
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