Help_How to use graph to find focal length?

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To find the focal length of a convex lens using a graph, rearrange the lens equation 1/f = 1/u + 1/v to express 1/v as the subject. This results in the linear equation 1/v = 1/f - 1/u, allowing you to plot 1/v against 1/u. By graphing these values, you can determine the slope, which relates to the focal length. The successful approach involves using 1/u on one axis and 1/v on the other. This method effectively allows for the evaluation of the focal length from the graph.
linda92
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Homework Statement


Rearrange the lens equation to make 1/v the subject of the equation and then write it as a linear equation. This will lead you to a possible graph for data of object distances and image distances from which you will be able to evaluate the focal length f of the convex lenses.

Homework Equations


*lens equation: 1/f=1/u+1/v

The Attempt at a Solution


I don't really understand what I'm supposed to do. I mean, usually we have equations like y=kx and all we do is to find the slope k. But for the equation 1/v=1/f-1/u ? I really don't get this. Should I make it into v=uf/(u-f)? I think that's the right way but I don't know if i can get f using that equation. Please HELP!
 
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Welcome to PF!

Hi linda92! Welcome to PF! :wink:

You want a straight line,

so instead of having v along one axis, you have 1/v instead.

And along the other axis, you have … ? :smile:
 


Hello! Thanks :)

The other side I made it 1/u.
In Graphical Analysis I entered the function "f(x)=1/f-x", with x=1/u, f(x)=1/v..

...And it worked :)
 
linda92 said:
...And it worked :)

:biggrin: Woohoo! :biggrin:
 
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