Two systems are formed from a converging lens and a diverging lens, as shown in

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 7.50 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.

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 7.50 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 converging lens

1/s1 + 1/s1' = 1/f1

(1/7.5)+(1/s1') = 1/15

s1' = -15 cm

m1 = -s1'/s1 = 15/7.5 = 2

for diverging lens

s2 = d+s1' = 50+15 = 65 cm

1/s2 + 1/s2' = 1/f2

(1/65) + (1/s2') = -1/20

s2' = -15.3 cm <_----------answer

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