Focal Length of Converging Lens: 10.03 cm

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SUMMARY

The focal length of a converging lens is calculated using the lens formula 1/f = 1/do + 1/di. In this discussion, an object 5.0 cm tall is placed 12 cm from the lens, resulting in an image distance of 61 cm. The calculation yields a focal length of 10.03 cm. It is crucial to consider the signs of the object and image distances to ensure accuracy in the calculations.

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  • Understanding of the lens formula (1/f = 1/do + 1/di)
  • Knowledge of object and image distance conventions in optics
  • Familiarity with converging lenses and their properties
  • Basic algebra skills for manipulating equations
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whitehorsey
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1. When an object 5.0 cm tall is placed 12 cm from a converging lens, an image is formed on the same side of the lens as the object but the image is 61 cm away from the lens. What is the focal length of the lens?



2. 1/f = 1/do + 1/di



3. 1/f = 1/do + 1/di
= 1/12 + 1/61
= 10.03 cm

I'm not sure if this is right.
 
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Be careful with the signs of the distances. If you place the object on the left of the lens then you have d0 = +12 cm. But you also have an image on the left side of the lens. So check the sign of the image.
 
nickjer said:
Be careful with the signs of the distances. If you place the object on the left of the lens then you have d0 = +12 cm. But you also have an image on the left side of the lens. So check the sign of the image.

oh ok thank you!
 

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