Lenses - Thin-Lens Equation and Magnification Equation

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SUMMARY

The discussion focuses on solving a homework problem involving the Thin-Lens Equation and Magnification Equation using two camera lenses with focal lengths of 35.0 mm and 150.0 mm. The user initially miscalculated the image height produced by the 35.0 mm lens, resulting in an incorrect answer. The correct approach involves converting the focal length from millimeters to meters and applying the magnification formula accurately. The final image height for the 35.0 mm lens is determined to be -7.00 x 10-4 m.

PREREQUISITES
  • Understanding of the Thin-Lens Equation
  • Familiarity with the Magnification Equation
  • Basic knowledge of unit conversions (mm to m)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the Thin-Lens Equation in detail
  • Learn how to apply the Magnification Equation in various scenarios
  • Practice unit conversion techniques, especially in optics
  • Explore the effects of different focal lengths on image formation
USEFUL FOR

Students studying optics, photography enthusiasts, and anyone interested in understanding lens mechanics and image formation principles.

missmia
[SOLVED] Lenses - Thin-Lens Equation and Magnification Equation

I can't figure out what I am doing wrong, your help would be greatly appreciated :)

Here is the Homework Problem

A camera is supplied with two interchangeable lenses, whose focal lengths are 35.0 and 150.0 mm. A woman whose height is 1.80 m stands 9.00 m in front of the camera. What is the height (including sign) of her image on the film, as produced by each of the following.
(a) the 35.0 mm lens
(b) the 150.0 mm lens

ATTEMPTED SOLUTION:

[tex]\frac{1}{d_{i}}[/tex] = [tex]\frac{1}{.0035m}[/tex] - [tex]\frac{1}{9.0m}[/tex]

which gives [tex]d_{i}[/tex] = .003501m

then, I used the magnification equation: m = - [tex]\left[\frac{.003501m}{9.0m}\right][/tex] = -3.89 x [tex]10^{-4}[/tex]x

then, I used [tex]h_{i}[/tex] = m[tex]h_{o}[/tex] = -3.89 x [tex]10^{-4}[/tex] x 1.80m = -7.00 x [tex]10^{-4}[/tex]

But, the answer that I got is incorrect! Please Help! Thank you!
 
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Be careful with the units. remember 35mm is 3.5cm which is 0.035m.
 
oh gosh! I can't believe I didn't notice that. Thanks again :)
 

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