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An object is placed to the left of a lens, and a real image is formed...

An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 117 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens?

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Answer #1

object distance from lens = d0

image distance from lens = di

The distance between the object and the image = d0+di = 117 cm

the relation between the image height and object height is

The image is inverted relative to the object and is one-half the size of the object.

hi = h0/2

h0/hi = 2

d0+di = 117 cm

2di+ di = 117

di = 117/3 = 39 cm

a) object distance from the lens, d0 = 2di = 2*39 = 78 cm

b) from the lens equations

focal length, f = 26 cm

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