Problem

A \( 5.00 \mathrm{~cm} \) tall object is placed \( 4.00 \mathrm{~cm} \) from a convex mirror with a focal length of \( 7.50 \mathrm{~cm} \). What is the distance of the image from the mirror?
\( -0.383 \mathrm{~cm} \)
\( -0.117 \mathrm{~cm} \)
\( -8.57 \mathrm{~cm} \)
\( -2.61 \mathrm{~cm} \)

Answer

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Answer

\( d_i = -2.6087 \mathrm{~cm} \)

Steps

Step 1 ：\( \frac{1}{d_i} = \frac{1}{f} - \frac{1}{d_o} \)

Step 2 ：\( \frac{1}{d_i} = \frac{1}{-7.50} - \frac{1}{4.00} \)

Step 3 ：\( d_i = -2.6087 \mathrm{~cm} \)

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