The table details six variations of the basic arrangement of two thin lenses rep

Question

The table details six variations of the basic arrangement of two thin lenses represented in the figure. (The points labeled F1 and F2 are the focal points of lenses 1 and 2.) An object is distance p1 to the left of lens 1, as in figure.

a.) For which variations can we tell, without calculation, whether the final image (that due to lens 2) is to the left or right of lens 2 and whether it has the same orientation as the object?

      -Answer choices:
            -Variation 1
            -Variation 2
            -Variation 3
            -Variation 4
            -Variation 5
            -Variation 6

b.) For those “easy” variations, give the image location as “left” or “right” and the orientation as “same” or “inverted.”

-Answer choices:
            -Variation 1:
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)
            -Variation 2
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)
            -Variation 3
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)
            -Variation 4
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)
            -Variation 5
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)
            -Variation 6
                   -Image location: Left, Right, or N/A (not an answer for part a)
                   -Orientation: Same, Inverted, or N/A (not an answer for part a)

Variation Lens 1 Lens 2 1 Converging Converging p1 < |f1| 2 Converging Converging p1 > |f1| 3 Diverging Converging p1 < |f1| 4 Diverging Converging p1 > |f1| 5 Diverging Diverging p1 < |f1| 6 Diverging Diverging p1 > |f1| 1 Lens 1 Lens 2

Explanation / Answer

As per figure, as virtual erect and enlarged image is formed by lens1, the lens1 is converging ang p1< f1.

As real and inverted image is formed by lens2, the lens2 ic also converging.

For variation 1 image is to the right of lens2 and is inverted.

For variation 2 image is to the right of lens2 and is inverted.

For variation 3 image is to the right of lens2 and is inverted.

For variation 4 image is to the right of lens2 and is inverted.

For variation 5 image is to the left of lens2 and orientation is same.

For variation 6 image is to the left of lens2 and orientation is same.

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