Solving Light and Lenses Questions: Focal Length, Magnification, Distance

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To solve the first question, the postage stamp must be placed 26 cm from the lens to achieve comfortable viewing at 30 cm from the eyes. Using the lens formula, the object distance can be calculated. For the second question, with a focal length of +20 cm and a magnification of 4, the object and image distances can be determined using the same lens formula. The discussions focus on applying the lens equations to find the necessary distances and magnifications. Understanding these calculations is essential for solving optics problems effectively.
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Homework Statement


1)A philatelist uses a magnifying glass with a focal length of 10cm. In order to examine a rare postage stamp, he holds the lens 4 cm from his eyes. If the distance for the most comfortable viewing of the image is 30cm from his eyes, how far from the lens must the postage stamp be placed? What will the magnification be?

2)A lens has a focal length of +20cm and a magnification of 4. How far apart are the object and the image?


Homework Equations



1/2) 1/f=1/Do+1/Di
Mag = hi/ho = -Di/Do

The Attempt at a Solution



I don't even know where to begin with the first question. I'm having difficulty interpreting it. Any help would be greatly appreciated.
 
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If the distance for the most comfortable viewing of the image is 30cm from his eyes, and the lens is at 4 cm from the eye, you have to keep the stamp at such distance from the lens that it forms the inage at 30cm - 4 cm = 26 cm from the lens. Now find the object distance.
 
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