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Graphing conves lense relationships to find focal lenght with slope

by pices_zodiac
Tags: conves, focal, graphing, lenght, lense, relationships, slope
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Nov28-09, 07:05 PM
P: 1
1. The problem statement, all variables and given/known data
I need to find the relationship between object-lens distance and image-lens distance for a lense(converging) but cannot graph the relationship in a way that the focal lenght is the slope for the graph

2. Relevant equations
1/u + 1/v = 1/f
where u= object lense distance and v= image lense distance and f= focal lenght

y=mx+b --> I would like m=focal lenght and b=0

3. The attempt at a solution
so far, I can only come up with:
-u ( 1/[uv]) = -1/v
thus ( 1/[uv]) is the slope.. but f= (v+u)/(uv)
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Nov29-09, 05:37 AM
HW Helper
P: 4,433
You can write the lens equation as
(1/u)/(1/f) + (1/v)/(1/f) = 1.
It is in the form of
x/a + y/b = 1.

Draw the graph 1/u vs 1/v. You will get a straight line with slope (-1). The intercept on x and y-axis are equal and it is equal to 1/f.

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