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An object is $16\mathrm{.}0$ cm to the left of a lens. The lens forms an image $36\mathrm{.}0$ cm to the right of the lens. $($a$)$ What is the focal length of the lens? Is the lens converging or diverging? $($b$)$ If the object is $8\mathrm{.}00$ mm tall, how tall is the image? Is it erect or inverted? $($c$)$ Draw a rough principal$-$ray diagram.