$($a$)$ A $1\mathrm{.}00$ cm $-$high object is placed $3\mathrm{.}65$ cm to the left of a converging lens of focal length $8\mathrm{.}30$ cm $.$ A diverging lens of focal length $-16\mathrm{.}00$ cm is $6\mathrm{.}00$ cm to the right of the converging lens. Find the position and height of the final image.

position cn

height

cm

Is the image inverted or upright?

upright

inverted

Is the image real or virtual?

real

virtual

$($b$)$ What If$?$ If an image of opposite characteristic, i$.$e$.,$ virtual if the image in part $($a$)$ is real and real if the image in part $($a$)$ is virtual, is to be obtained, what is the minimum distance $($in cm$),$ and in which direction, that the object must be moved from its original position?

distance cm

direction

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