Please provide me with the right answers. Thanks inverted no image Need Help? Re

Question

Please provide me with the right answers. Thanks

inverted no image Need Help? Read It -13 points SerCP11 23.P.041 My Notes Ask Two converging lenses, each of focal length 15.2 cm, are placed 40.9 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the fina mage formed? The image is located cmLocation--- in front of the first lens. in front of the second lens. behind the second lens. What is the magnification of the system? Need Help? Read it IL watehlt Submit Answer Save Progress Practice Another Version Submit Assignment Save Assignment Progress Home My Assignments Extension Request WebAssign401997-2018 Advanced Instructional Systems, Inc. All rights reserved

Explanation / Answer

for the first converging lens :

f = 15.2 cm

do = object distance = 30 cm

di = image distance = ?

Using the lens equation

1/di + 1/do = 1/f

1/di + 1/30 = 1/15.2

di = 30.8 cm

d = distance between the lens = 40.9 cm

m1 = magnification of first lens = - di/do = - 30.8/30 = - 1.03

For the second lens :

do = object distance = d - 30.8 = 40.9 - 30.8 = 10.1 cm

di = image distance = ?

f = 15.2 cm

Using the lens equation

1/di + 1/do = 1/f

1/di + 1/10.1 = 1/15.2

di = - 30.1 cm

m2 = magnification of second lens = - di/do = - 30.1/10.1 = - 2.98

the final image is located 30.1 cm in front of the second lens

m = total magnification = m1 m2 = (- 1.03) (- 2.98) = 3.1

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