An object 2.05 cm high is placed 40.3 cm to the left of a converging lens having a focal length of 30.5 cm. A diverging lens with a focal length of -20.0 cm is placed 110 cm to the right of the converging lens. (a) Determine the position of the final image. -125.4 x The response you submitted has the wrong sign. cm of the diverging lens distance location to the right (b) Determine the magnification of the final image. -3.11 x Your response differs from the correct answer by more than 10%. Double check your calculations. (c) Is the image upright or inverted? O inverted O upright (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. final image location distance location ---Select--- magnification. cm of the second lens Is the image upright or inverted? O inverted O upright

6. A thin converging lens of focal length f =+12.0 cm is separated from a thin diverging lens by a distance d = 24.0 cm . The focal length of the second lens is f, =-48.0 cm. An object with height y = 4.20 cm is placed on the optical axis at p, =18.0 cm in front of the first lens. Pay attention to +/- signs. What is the location of the image produced by the first lens alone, i ? а. b. What is the lateral magnification m , produced by the first lens alone? с. Where is the final image of the two lens system located relative to the second lens (i.e. what is i,)? d. What is the total magnification of the two lens system, M ? What is the height of the final image, y, ? е. R/V? - Is the final image real or virtual? g. I/NI? - Is the final image inverted or not inverted (relative to the object in front of the first lens)? f.

= 1.0). An object (A) is Assume that a thin lens (r, placed in the left side of lens (d = 45mm) and the image of the object is located in the right side of the lens at position (B) (d' = 90mm). 1) Compute the refraction index of the lens (n2); = -r2 = 40mm) is placed in the air (n 2) If placing another negative thin lens (f2 = -180mm) immediately behind the first lens to create a doublet lens in which the spacing between two lenses is zero (as shown in the right figure), what is the focal length of this doublet? 3) Where is the final image position (C) of the object (A) through this new doublet? (Note: Assuming this doublet lens is a combined thin lens too without considering its thickness).

not a graded assignment