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# Problem: A 4.0-cm-tall object is 80cm in front of a converging lens that has a 40cm focal length.1) Calculate the image position.80.0 cm is the position2) Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.

###### FREE Expert Solution

Lens equation:
$\overline{)\frac{\mathbf{1}}{{\mathbit{s}}_{\mathbit{o}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbit{s}}_{\mathbit{i}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbit{f}}}$

Magnification:

$\overline{){\mathbf{m}}{\mathbf{=}}\frac{{\mathbf{h}}_{\mathbf{i}}}{{\mathbf{h}}_{\mathbf{o}}}{\mathbf{=}}{\mathbf{-}}\frac{{\mathbf{s}}_{\mathbf{i}}}{{\mathbf{s}}_{\mathbf{o}}}}$

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###### Problem Details

A 4.0-cm-tall object is 80cm in front of a converging lens that has a 40cm focal length.

1) Calculate the image position.

80.0 cm is the position

2) Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.