Distance between the object and the lens

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In summary, the problem involves a diverging lens with a focal length of 6 mm and a resulting image with a magnification of 1/2. The distance between the object and the lens can be calculated using the equations 1/do + 1/di = 1/f and m = -di/do. By solving for one variable and plugging it into the other equation, the distance can be determined.
  • #1
Libra_girl
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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?
 
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  • #2
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:
 
  • #3
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 ?
 
  • #4
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:
 
  • #5
tiny-tim said:
Both equations! :smile:

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


yeah it is sorry :smile:
 
Last edited:
  • #6
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?
 
  • #7
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?
 

What is the "distance between the object and the lens"?

The distance between the object and the lens refers to the physical distance between the object being observed and the lens of the device used to observe it. This can also be referred to as the focal length.

Why is the distance between the object and the lens important?

The distance between the object and the lens is important because it affects the image produced by the lens. A shorter distance can result in a larger and more magnified image, while a longer distance can result in a smaller and less magnified image.

How is the distance between the object and the lens measured?

The distance between the object and the lens is typically measured in millimeters (mm) using a ruler or measuring tape. It can also be measured using specialized equipment such as a caliper or a laser measurement tool.

Can the distance between the object and the lens be changed?

Yes, the distance between the object and the lens can be changed by physically moving the lens closer or further away from the object. Some devices also have adjustable focal lengths that allow for changes in the distance between the object and the lens.

How does the distance between the object and the lens affect the quality of the image?

The distance between the object and the lens can greatly affect the quality of the image produced. A shorter distance can result in a sharper and more detailed image, while a longer distance can result in a blurrier and less detailed image. Additionally, the distance can also affect the depth of field and focus of the image.

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