Finding focal length from di v. M graph

Click For Summary
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.
blank44544
Messages
1
Reaction score
0
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.
 
Physics news on Phys.org
If you rearrange your equation to f = di/(1+M) that might be easier to solve since your graph is di vs. M.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
View full post »

Similar threads

Graphically determining the focal length of a converging lens
  • · Replies 4 ·
Replies
4
Views
3K
Find the location and length of the final image
  • · Replies 2 ·
Replies
2
Views
984
Optics focal length and optical power Question
  • · Replies 2 ·
Replies
2
Views
2K
Calculate a radius of a circle on a screen
  • · Replies 3 ·
Replies
3
Views
1K
What Focal Length Eyepiece Provides a -125 Magnification?
  • · Replies 1 ·
Replies
1
Views
3K
Optics Problem with a Double Lens System
  • · Replies 1 ·
Replies
1
Views
2K
Find focal length of electron for a parabolic motion
  • · Replies 3 ·
Replies
3
Views
1K
How Do Contact Lenses Correct Myopia and Alter Near Point Vision?
  • · Replies 1 ·
Replies
1
Views
1K
Focal length of converging thin lens graphs
  • · Replies 1 ·
Replies
1
Views
3K
How to find the focal length of a lens (Problem with a task)
  • · Replies 1 ·
Replies
1
Views
1K