In the figure below a converging lens is located at the origin. It has a focal l

Question

In the figure below a converging lens is located at the origin. It has a focal length of f_1= 20.6 cm. An object is placed a distance a = 25.6 cm to the left of the converging lens. In addition a concave mirror with focal length f_2= 10.2 cm is located at L = 120.67 cm to the right of the lens. The light from the object goes through the lens and then is reflected by the mirror What is the position of the image produced by the mirror? Your answer should be measured relative to the origin (the position of the converging lens), with a positive distance to the right or a negative distance to the left. (Note that we are not considering what happens when the light reflected from the mirror goes back through the lens again!)

Explanation / Answer

let f1 = 20.6 cm

u1 = 25.6 cm (object distance)

let v1 is the image distance of first lense

Apply 1/u1 + 1/v1 = 1/f1

1/v1 = 1/f1 - 1/u1

1/v1 = 1/20.6 - 1/25.6

v1 = 105.47 cm

object distance for the mirror, u2 = 120.67 - 105.47

= 15.2 cm

f2 = 10.2 cm

let v2 is the image distance of second lense

Apply, 1/u2 + 1/v2 = 1/f2

1/v2 = 1/f2 - 1/u2

1/v2 = 1/10.2 - 1/15.2

v2 = 31 cm

so the image location due mirror from consrginf lens = 120.67 - 31

= 89.67 cm <<<<<<<<<<<<<-------------------Answer

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