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Concept Simulation 26.4 provides the option ofexploring the ray diagram that app

ID: 1744834 • Letter: C

Question

Concept Simulation 26.4 provides the option ofexploring the ray diagram that applies to this problem. Thedistance between an object and its image formed by a diverging lensis 8.30 cm. The focal length of the lens is -3.50 cm. Find(a) the image distance and (b)the object distance.

(a)

Number

Units

(b)

Number

Units

Chapter 26, Problem 52 Chapter 26, Problem 52 Incorrect. Concept Simulation 26.4 provides the option ofexploring the ray diagram that applies to this problem. Thedistance between an object and its image formed by a diverging lensis 8.30 cm. The focal length of the lens is -3.50 cm. Find(a) the image distance and (b)the object distance. (a) Number Units cm (b) Number Units cm

Explanation / Answer

Given :               u + v = 8.30 cm--------------------(1)                  f      = - 3.50 cm          We knowthat focal lenght f = uv / (u+v)                                   uv   = f * (u + v)                                             = - 3.50 * 8.30                                               = -29.05          wehave ( u - v) 2   = ( u + v)2 - 4 u v                                        =   (8.30)2 - 4 ( -29.05)                                       = 185.09                      (u - v)   = 13.60 cm---------------(2) From equation (1) and (2)             (1) + (2)                       2 u   = 21.9                          u   =   21.9 / 2   = 10.95 cm        Image distance is:                   v = 8.30 - 10.95   = -2.65 cm Hope this helps u!
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