Two systems are formed from a converging lens and a diverging lens, as shown in
ID: 1494474 • 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 10.12 cm to the left of lens 1. The focal lengths of the converging and diverging lenses are 15.00 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) di2 = Correct: Your answer is correct. 26.54 Incorrect: Your answer is incorrect. (b) di2 =
Explanation / Answer
for converging lens :
do = object distance = 10.12 cm to left
f = focal length = 15 cm
di = image distance
using the lens equation
1/do + 1/di = 1/f
1/10.12 + 1/di = 1/15
di = - 31.1 cm
for diverging lens on left of converging lens :
do = object distance = 50 - 31.11 = 18.89 cm
f = - 20 cm
di = image distance
using the lens equation
1/f = 1/di + 1/do
1/(-20) = 1/di + 1/18.89
di = - 9.71 cm
9.71 cm from lens 2
di = - 16.04 cm
final image is at distance 16.04 cm from lens 2
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