A slide projector has a converging lens whose focal length is103.00 mm. (a) How

Question

A slide projector has a converging lens whose focal length is103.00 mm. (a) How far from the lens mustthe screen be located if a slide is placed 108 mm from the lens?
1 m

(b) If the slide measures 21.0 mm ×37.0 mm, what are the dimensions (in mm)of its image?
width 2 mm height 3 mm width 2 mm height 3 mm

Explanation / Answer

(a) The distance of the image is                1 / di = 1 /f - 1 / do                          = 1 / 103.0   - 1 / 108                          = 0.00970 -   0.00925                           = 0.00045       ==> di = 2222.22 mm = 2.22 x103 m (b)      We know that               h i / ho = - di / do          ==> hi = ho(-di / do)                     = 21 (2222.22 / 108)                     = 432 mm     width           hi = ho (-di/ do)                     = 37 (2222.22 / 108)                     = 761.3 mm     height

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