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The Pricey 'Jenny' Stamp: Calculating Focal Length

Chapter 27, Problem 91GP

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QUESTION:

A rare 1918 “Jenny” stamp, depicting a misprinted, upside-down Curtiss JN-4 “Jenny” airplane, sold at auction for $525,000. A collector uses a simple magnifying glass to examine the “Jenny,” obtaining a linear magnification of 2.5 when the stamp is held 2.76 cm from the lens. What is the focal length of the magnifying glass?

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QUESTION:

A rare 1918 “Jenny” stamp, depicting a misprinted, upside-down Curtiss JN-4 “Jenny” airplane, sold at auction for $525,000. A collector uses a simple magnifying glass to examine the “Jenny,” obtaining a linear magnification of 2.5 when the stamp is held 2.76 cm from the lens. What is the focal length of the magnifying glass?

ANSWER:

 

Step 1 of 3

Here we need to find the focal length of the magnifying glass. The magnification of the glass is given to be \(m=2.5\) when a stamp is held at a distance \(d_{0}=2.76 \mathrm{~cm}\) from the lens.

Given data,

Magnification, \(m=2.5\)

Object distance, \(d_{0}=2.76 \mathrm{~cm}\)

To find,

Focal length, \(f=?\)

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The Pricey 'Jenny' Stamp: Calculating Focal Length
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Explore the world of collectible stamps as we delve into the story of the rare 1918 'Jenny' stamp and its astonishing auction price. Join us to learn about the use of a simple magnifying glass to examine this valuable collectible and discover how to calculate its focal length.


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