Distance between the object and the lens

  • Thread starter Thread starter Libra_girl
  • Start date Start date
  • Tags Tags
    Lens
AI Thread Summary
A diverging lens with a focal length of 6 mm produces an image with a magnification of 1/2, prompting the question of the distance between the object and the lens. Participants discuss relevant equations, including the magnification formula m = -di/do and the lens formula 1/do + 1/di = 1/f. It is noted that both equations can be used to solve for the object distance (do) and image distance (di). By rearranging the magnification formula, one can express di in terms of do and substitute it into the lens formula to find the solution. This approach effectively allows for determining the required distance between the object and the lens.
Libra_girl
Messages
14
Reaction score
0

Homework Statement



A diverging lens of 6 mm focal length produces an image of magnification m = 1/2. What
is the distance between the object and the lens?
 
Physics news on Phys.org
Welcome to PF!

Libra_girl said:

Homework Statement



A diverging lens of 6 mm focal length produces an image of magnification m = 1/2. What
is the distance between the object and the lens?

Hi Libra_girl ! Welcome to PF! :smile:

Hint: what equations do you know that relate the size of the object to the size of the image? :smile:
 
tiny-tim said:
Hi Libra_girl ! Welcome to PF! :smile:

Hint: what equations do you know that relate the size of the object to the size of the image? :smile:


Is it the equation: do/di = m or 1/do + 1/di = 1/f ?
 
Libra_girl said:
Is it the equation: do/di = m or 1/do + 1/di = 1/f ?

Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:
 
tiny-tim said:
Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:


yeah it is sorry :smile:
 
Last edited:
Libra_girl said:
yeah it is sorry :smile:

tiny-tim said:
Both equations! :smile:

Except isn't it m = -di/do? :rolleyes:

Ok so I know f and I know m, now I am solving for do, but I don't know the di?
 
Hi Libra girl,

You now have two equations in two unknowns. You can solve the magnification formula for one of the variables and plug it into the other formula. What does that give?
 

Similar threads

Find the location and length of the final image
Replies
2
Views
885
Focal length of the eyepiece lens in a compound microscope
Replies
7
Views
1K
Analyzing this 2-lens optical system
Replies
5
Views
1K
Mirror placed horizontally between two half convex lenses
Replies
11
Views
1K
Lens Maker's Formula - Confusion in the derivation
Replies
15
Views
1K
Image with an Plano-Convex lens
Replies
7
Views
3K
Inserting thick lenses into a thin lens system and deducing values
Replies
1
Views
2K
Calculate a radius of a circle on a screen
Replies
3
Views
1K
Image position in an optical system?
Replies
5
Views
2K
Optics Problem with a Double Lens System
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top