1. Consider a system of two converging thin lenses, L1 and L2, with focal length
ID: 1969448 • Letter: 1
Question
1. Consider a system of two converging thin lenses, L1 and L2, with focal lengths 10cm and 20cm respectively, separated by a distance of 80cm. A 5cm tall object located 15cm to the left of L1.(a) Construct a ray diagram indicating the position and vertical orientation of
the intermediate image. Calculate this position and see that it matches your diagram.
(b) Find the position and magnification of the final image. Is the final image virtual or
real? Is it inverted or upright?
2. If you replace L2 with a diverging lens, will the final image be inverted or upright? If you removed lens L1, leaving only the diverging lens, would you still be able to see
an image on the screen? Why or why not?
Explanation / Answer
a) , b) 1/u =+1/v = 1/f For the first lens 1/v = 1/ 10- 1/ 15 v = 30 cm. For the second lens 1/v'= 1/f' - 1/u' u' = 80 -20 = 60 cm 1/v' = 1/20 -1/ 60 v' = 30 cm behind L2 real inverted image 2. 1/v'= 1/f' - 1/u' u' = 80 -20 = 60 cm f = -20cm 1/v' = - 1/20 -1/ 60 v' = - 15 cm infront of L2 virtual upright image is formed. ----------------------------- Diverging lens alone cannot produce real image and hence Cannot form image on a screed.
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