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Consider the optical system shown in the figure. The lens and mirror are separated by d = 1.00 m and have focal lengths of f1

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Consider the optical system shown in the figure. The lens and mirror are separated by d = 1.00 m and have focal lengths of f1 = +90.5 cm and f2 = 55.0 cm, respectively. An object is placed p = 1.00 m to the left of the lens as shown. Object j [.t'ns Mirror PLUM In >>-7 1 Jill lugl (a) What is the distance (in cm) and location of the nal image formed by light that has gone through the lens twice? (Give the magnitude of the distance and select its location with respect to the lens.) distance Scm location (b) Determine the overall magnification of the image. |:| (c) State whether the image is upright or inverted. O upright O inverted For ken for minor + - 200 - 55 formula Fivey ! - LOO Local - s'h d= 100 cam 145 V, = ? V , - 1 1000 fi= go.5 L V , 2 75.86 cm q V=V,+ Vit d : 47.5+ 7586+ 100 V . = Of A magnification = 223.36 cm = 100 + 90.1 90.5 (100) M 2 = _V 1 = 47- 50 cm - 75.86 ( image formed right side 200 and magnification of lems, ) 2 - 0.379 or - 0. 38 u , overall magnification 47.50 m, x mz 10 0 - - (0.475 x 0. 38) = 0,475 = - 0,18

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