QuestionMay 28, 2025

9) 7) A magnifying glass has a converging lens of focal length 15 cm. At what distance from a postage stamp should you hold the lens to get a magnification of +2

9) 7) A magnifying glass has a converging lens of focal length 15 cm. At what distance from a postage stamp should you hold the lens to get a magnification of +2
9) 7) A magnifying glass has a converging lens of focal length 15 cm. At what distance from a
postage stamp should you hold the lens to get a magnification of +2

Solution
4.1(259 votes)

Answer

15 cm Explanation 1. Use the magnification formula The magnification M is given by **M = 1 + \frac{f}{d_o}**, where f is the focal length and d_o is the object distance. 2. Substitute known values Given M = 2 and f = 15 \, \text{cm}, substitute into the formula: 2 = 1 + \frac{15}{d_o}. 3. Solve for object distance d_o Rearrange to find d_o: \frac{15}{d_o} = 1, so d_o = 15 \, \text{cm}.

Explanation

1. Use the magnification formula<br /> The magnification $M$ is given by **$M = 1 + \frac{f}{d_o}$**, where $f$ is the focal length and $d_o$ is the object distance.<br /><br />2. Substitute known values<br /> Given $M = 2$ and $f = 15 \, \text{cm}$, substitute into the formula: $2 = 1 + \frac{15}{d_o}$.<br /><br />3. Solve for object distance $d_o$<br /> Rearrange to find $d_o$: $\frac{15}{d_o} = 1$, so $d_o = 15 \, \text{cm}$.
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