Problem

A shopper standing \( 3.00 \mathrm{~m} \) from a convex security mirror sees his image with a magnification of 0.200 . What is the mirror's radius of curvature?
a. \( 1.25 \mathrm{~m} \)
b. \( 1.50 \mathrm{~m} \)
c. \( 1.75 \mathrm{~m} \)
d. \( 2.00 \mathrm{~m} \)
e. \( 2.25 \mathrm{~m} \)

Answer

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Answer

\(R = \frac{3.00}{2(0.200 - 1)} \)

Steps

Step 1 ：\(M = \frac{d_i}{d_o} = \frac{R}{2R-d_o} \)

Step 2 ：\(R = \frac{d_o}{2(M - 1)} \)

Step 3 ：\(R = \frac{3.00}{2(0.200 - 1)} \)

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