How do you determine the image size formed by a convex lens?

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The image formed by a convex lens can be determined using the lens formula 1/f = 1/Do + 1/Di, resulting in an image distance (Di) of 10 inches when the object distance (Do) is 10 inches and the focal length (f) is 5 inches. The size of the image (Si) can be calculated using the magnification formula Si = So(Di/Do), but requires the height of the object (So) to provide a numerical answer. Without the height of the candle, the image size cannot be quantified, but it can be stated that the image will be the same height as the object. The discussion emphasizes that the image height is dependent on the object height, confirming that a numerical solution is not possible without additional information. Thus, the relationship between object and image size is crucial for accurate calculations.
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Homework Statement


A candle is placed 10 inches from a convex lens whose focal length is 5 in. Where will the image be formed? How large an image is formed?



Homework Equations





The Attempt at a Solution


Here we use the following formula to find where the image will be formed:
1/f=1/Do+1/Di  1/Di=1/f-1/Do =
1/Di=1/5-1/10 = 2-1/10 = 10 in.


Here's the equation to solve part B but I don't know how to figure "So" which would be dimensions of the candle. Any help?

Si=So(Di/Do) =
Si=So(10/10) =
 
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Well you can't give a numerical answer but you can say that the image formed is the same height as the object.
 
AtticusFinch said:
Well you can't give a numerical answer but you can say that the image formed is the same height as the object.


So, there's no numerical way to solve without being given the height of the object?
 
kriegera said:
So, there's no numerical way to solve without being given the height of the object?

Nope, because that would mean that the image height does not depend on the object height which is clearly not true.
 

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