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 "F_converging" is the focal point of the converging lens.) An object is placed inside the focal point of lens 1 at a distance of 5.10 cm to the left of lens 1. The focal lengths of the conveging 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. (a) d_i2 = (b) d_i2 =

Explanation / Answer

when two lenses are seperated bya distance d then net focal length f=f1f2/(f1+f2-d)

here f1=15cm,f2=-20cm,d=50cm

f=(15*-20)/15-20-50=5.45cm

from lens equation 1/f=(1/v)-1/u

here u=5.1cm then 1/v=1/5.45-1/5.1

v=-79.44cm so final image formed infront of the lens for both cases that is 79.44cm

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