Finding focal length from di v. M graph

Thread starter blank44544
Start date Mar 12, 2024
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Focal length Graph optics problem

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To find focal length from a di vs. M graph, the equation di = f + fM is not effective as it implies the slope and y-intercept are identical, which is incorrect. A more suitable rearrangement of the equation is f = di/(1+M), simplifying the calculation. This approach aligns better with the graph's structure and facilitates solving for focal length. The discussion emphasizes the importance of correctly interpreting the relationship between di and M. Accurate calculations are essential for understanding optical systems.

Mar 12, 2024

blank44544

Homework Statement: Using the di v. M graph, how would you find the focal length? The slope is 11.24. The y intercept is 8.753.

Relevant Equations: 1/di + 1/do = 1/f
M = di/do
di = f (1+ di/do)

I tried di= f +fM, but that would mean slope and y int is the same when it’s not.

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Mar 13, 2024

osilmag

Gold Member

If you rearrange your equation to f = di/(1+M) that might be easier to solve since your graph is di vs. M.

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