Thin Lens And Lens Maker Equations Video Lessons

Concept

# Problem: 1/S+ 1/S'=1/f(S is the object distance, S' is the image distance and f is the focal length of the mirror or lens)When we choose 1/S as the x axis and 1/S' as the y axis... Then we make a linear fit. Show that the slope is -1. And if intercept is C, calculate f as function of C only.

###### FREE Expert Solution

The equation of a straight line:

$\overline{){\mathbf{y}}{\mathbf{=}}{\mathbf{m}}{\mathbf{x}}{\mathbf{+}}{\mathbf{c}}}$

m is the slope and c is the y-intercept.

1/s' = -(1/s) + 1/f

Comparing the lens equation to the equation of a straight line:

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###### Problem Details

1/S+ 1/S'=1/f

(S is the object distance, S' is the image distance and f is the focal length of the mirror or lens)

When we choose 1/S as the x axis and 1/S' as the y axis... Then we make a linear fit. Show that the slope is -1. And if intercept is C, calculate f as function of C only.