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Two lenses are placed along an optical rail. One is a converging lens, with a focal length of f1 = 30.3 cm. The second lens, a diverging lens with a focal length of f2 = −20.0 cm, is placed d = 110 cm to the right of the converging lens. An object ho = 2.02 cm high is placed p1 = 40.5 cm to the left of the converging lens. (a) Determine the position of the final image. (Enter the position in cm relative to the diverging lens.) magnitude  ? cm direction  right or left?   of the diverging lens   (b) Determine the magnification of the final image. (Indicate the orientation with the sign of your answer.)   Hint* The total magnification is the product of each individual magnification. (c) Is the image upright or inverted?    (d) Repeat parts (a) through (c) for the case in which the second lens is a converging lens having a focal length of 20.0 cm. (Enter the position in cm relative to the second lens. Indicate the orientation of the magnification with the sign of your answer.) magnitude ? cm direction right or left? of the second lens magnification    Hint* The total magnification is the product of each individual magnification.   Is the image upright or inverted?

Two lenses are placed along an optical rail. One is a converging lens, with a focal length of f1 = 30.3 cm. The second lens, a diverging lens with a focal length of f2 = −20.0 cm, is placed d = 110 cm to the right of the converging lens. An object ho = 2.02 cm high is placed p1 = 40.5 cm to the left of the converging lens. (a) Determine the position of the final image. (Enter the position in cm relative to the diverging lens.) magnitude  ? cm direction  right or left?   of the diverging lens   (b) Determine the magnification of the final image. (Indicate the orientation with the sign of your answer.)   Hint* The total magnification is the product of each individual magnification. (c) Is the image upright or inverted?    (d) Repeat parts (a) through (c) for the case in which the second lens is a converging lens having a focal length of 20.0 cm. (Enter the position in cm relative to the second lens. Indicate the orientation of the magnification with the sign of your answer.) magnitude ? cm direction right or left? of the second lens magnification    Hint* The total magnification is the product of each individual magnification.   Is the image upright or inverted?

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Two lenses are placed along an optical rail. One is a converging lens, with a focal length of f1 = 30.3 cm. The second lens, a diverging lens with a focal length of f2 = −20.0 cm, is placed d = 110 cm to the right of the converging lens. An object ho = 2.02 cm high is placed p1 = 40.5 cm to the left of the converging lens.
(a) Determine the position of the final image. (Enter the position in cm relative to the diverging lens.)
magnitude  ? cm
direction  right or left?   of the diverging lens
 
(b) Determine the magnification of the final image. (Indicate the orientation with the sign of your answer.)
 
Hint* The total magnification is the product of each individual magnification.
(c) Is the image upright or inverted?
  
(d) Repeat parts (a) through (c) for the case in which the second lens is a converging lens having a focal length of 20.0 cm. (Enter the position in cm relative to the second lens. Indicate the orientation of the magnification with the sign of your answer.)
magnitude ? cm
direction right or left? of the second lens
magnification 
 
Hint* The total magnification is the product of each individual magnification.
 
Is the image upright or inverted?
 
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