Two systems are formed from a converging lens and a diverging lens, as shown in
ID: 1299593 • Letter: T
Question
Two systems are formed from a converging lens and a diverging lens, as shown in parts a and b of the drawing. (The point labeled "Fconverging" is the focal point of the converging lens.) An object is placed inside the focal point of lens 1 at a distance of 5.40 cm to the left of lens 1. The focal lengths of the converging and diverging lenses are 15.0 and -20.0 cm respectively. The distance between the lenses is 50.0 cm. Determine the final image distance for each system, measured with respect to lens 2.
Explanation / Answer
for lens 1
s1 = 9.5
1/s1 + 1/s1' = 1/f1
(1/9.5) + (1/s1') = (1/15)
s1' = -26 cm (from lens 1)
from lens 2 the distance is 76 cm to the left of the lens 2
for lens 2
s2 = 50 + 26 = 76 cm
1/s2 + 1/s2' = 1/f2
(1/76) + (1/s2') = -(1/20)
s2' = 15.83 cm to the right of lens 2
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