Register to reply

Graphing conves lense relationships to find focal lenght with slope

by pices_zodiac
Tags: conves, focal, graphing, lenght, lense, relationships, slope
Share this thread:
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)
Phys.Org News Partner Science news on
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
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.

Register to reply

Related Discussions
Graphing question: Reversal of x and y axis & effect on slope and y-intercept Introductory Physics Homework 1
Graphing slope of tangent Calculus & Beyond Homework 1
Focal length of lense Introductory Physics Homework 1
Finding the focal length of the lense Introductory Physics Homework 3
Don't read this if you find relationships boring General Discussion 4