Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 1270146 • 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 12.66 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

Explanation / Answer

first lens

1/p + 1/q = 1/f

1/12.66 + 1/q = 1/15

q=-81.15 cm

this acts as object for second lens

so p 81.15 + 50 = 131.15

1/131.15 + 1/q = 1/-20

q=-17.35 cm