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Chapter 31: Problem 25

A magnifying glass enlarges print by \(50 \%\) when it's \(9.0 \mathrm{cm}\) from a page. What's its focal length?

Short Answer

Expert verified
The focal length of the magnifying glass is approximately \(27.0 \, cm\).

Step by step solution

01

Determine the parameters for the Lens Formula

Let's denote the object distance with the letter \(u\), the image distance with \(v\), and the focal length with \(f\). Now, we can say that \(u = 9.0 \, cm\) (from the object to the lens) and the magnification \(m = v/u = 1 + 50\% = 1.5\) which gives us \(v = 1.5u = 1.5 * 9.0 \, cm = 13.5 \, cm\).
02

Use the Lens Formula to calculate focal length

We substitute the values of \(u\) and \(v\) into the lens formula \[1/f = 1/v - 1/u\], we get \[1/f = 1/(13.5 \, cm) - 1/(9.0 \, cm)\]. So, just compute the subtraction.
03

Find the focal length

Now solve for \(f\) by taking the reciprocal of the result obtained in Step 2. That would give the focal length of the magnifying glass.

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Most popular questions from this chapter

An object is five focal lengths from a concave mirror. (a) How do the object and image heights compare? (b) Is the image upright or inverted?

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