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Graphing conves lense relationships to find focal lenght with slope 
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#1
Nov2809, 07:05 PM

P: 1

1. The problem statement, all variables and given/known data
I need to find the relationship between objectlens distance and imagelens 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) 


#2
Nov2909, 05:37 AM

HW Helper
P: 4,439

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 yaxis are equal and it is equal to 1/f. 


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