Placement of an object and magnification

In summary, the placement of an object affects its magnification as an object placed closer to the lens appears larger and has a higher magnification. The focal length of a lens also plays a role in magnification, with a shorter focal length resulting in a larger image. The size of an object and its magnification have an inverse relationship, and the magnification can be calculated by dividing the size of the image by the size of the object.
  • #1
Violagirl
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Homework Statement



An object is 1 m from a screen. At what points may a 0.05-m focal length lens be placed so as to produce a sharp image on the screen? What are the corresponding magnifications?

Homework Equations



Lens maker equation:

1/s + 1/s' = 1/f

Magnification equation:

m = -s'/s = -f/s


The Attempt at a Solution



For the first question:

1/s' = 1/f -1/s = 1/0.05 m-1 = -.95 m.

1 m - .95 m = 0.05 m away from the screen.

Magnification:

m = -0.05 m / 1 m = -0.05

Is this right?
 
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  • #2
Use the fact that the sum of the object and image distances is 100 cm.
 

1. How does the placement of an object affect its magnification?

The placement of an object plays a crucial role in determining its magnification. When an object is placed closer to the lens, it appears larger and has a higher magnification. On the other hand, when an object is placed further away from the lens, it appears smaller and has a lower magnification. This is due to the way light rays are refracted and focused by the lens, resulting in a larger or smaller image.

2. Can you increase the magnification of an object by moving it closer to the lens?

Yes, moving an object closer to the lens will increase its magnification. This is because the closer an object is to the lens, the shorter the focal length will be, resulting in a larger image being produced. However, there is a limit to how close an object can be placed before the image becomes distorted or blurred.

3. How does the focal length of a lens affect the magnification of an object?

The focal length of a lens is directly proportional to the magnification of an object. A shorter focal length will result in a larger magnification, while a longer focal length will result in a smaller magnification. This is because a shorter focal length bends light more, resulting in a larger image being produced.

4. What is the relationship between the size of an object and its magnification?

The size of an object and its magnification have an inverse relationship. This means that as the size of an object increases, its magnification decreases. Similarly, as the size of an object decreases, its magnification increases. This is because the magnification is determined by the ratio of the size of the image to the size of the object.

5. How can you calculate the magnification of an object?

The magnification of an object can be calculated by dividing the size of the image by the size of the object. This can be represented by the formula M = hi/ho, where M is the magnification, hi is the height of the image, and ho is the height of the object. For example, if an object has a height of 5 cm and its image has a height of 10 cm, the magnification would be 10/5 = 2.

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