This problem involves the formation of images using lenses.

**(a)**

Lens equation:

$\overline{)\frac{\mathbf{1}}{{\mathit{s}}_{\mathit{o}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathit{s}}_{\mathit{i}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathit{f}}}$

A 2.0-cm-tall candle flame is 2.0 m from a wall. You happen to have a lens with focal length of 32 cm.

(a) How many places can you put the lens to form a well-focused image of the candle on the wall?

(b) For each position, what is the height and orientation of the image?

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