The image of a tree on a 35 mm color slide is 1.3 mm high. It is to be projected

Question

The image of a tree on a 35 mm color slide is 1.3 mm high. It is to be projected onto a screen 7 m from the slide, and is to appear 602 mm high. (a) What focal length lens (in meters) is needed? (b) What is the distance in meters between the lens and the slide? (c) What is the magnification of the system? The image of a tree on a 35 mm color slide is 1.3 mm high. It is to be projected onto a screen 7 m from the slide, and is to appear 602 mm high. (a) What focal length lens (in meters) is needed? (b) What is the distance in meters between the lens and the slide? (c) What is the magnification of the system?

Explanation / Answer

s'= 7

i/o = -602/1.3 = -s'/s

s'/s = 463.08

s = 7/463.08

s = 15.12 mm

a) 1/f = 1/s + 1/s'

1/f = (1/15.12)+(1/7000)

f = 15.09 mm

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b) s = 15.12 mm

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c) M = s'/s = 463.08
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