Solving Image Projection Problem | Lens Focal Length Calculation

In summary, the image projection problem refers to accurately projecting an image onto a screen or surface using a lens, which can be affected by factors such as lens focal length, distance from the lens to the screen, and image size and shape. The lens focal length can be calculated using the formula F = D x W / I, and the ideal focal length for image projection depends on various factors. The lens focal length greatly impacts image quality, with a longer focal length resulting in a sharper image and a shorter focal length resulting in distortion. Other factors that can affect image projection include lens type and quality, distance between lens and screen, image size and shape, and lighting conditions. Considering all of these factors is important for achieving optimal image projection.
  • #1
yeyspaz
11
0
"A 35 mm slide (picture actually 24*36 mm) is to be projected on a screen 1.8*2.7 m placed 9 m from the projector. What focal length lens should be used if the imageis to cover the screen?"

I was trying to do this problem using the formula (1/do)+(1/di)=(1/f), but hten i realized i don't have the object distance, so what formula can i use?
 
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  • #2
There is a formula for magnification? Try if you remember.
 
  • #3
Try http://hyperphysics.phy-astr.gsu.edu/ this usually gives good information. I believe you assume that object distance, which in this case is the slide, is zero.
 

1. What is the image projection problem?

The image projection problem refers to the issue of accurately projecting an image onto a screen or surface using a lens. This can be affected by factors such as the lens focal length, distance from the lens to the screen, and the size and shape of the image being projected.

2. How do you calculate the lens focal length?

The lens focal length can be calculated using the formula: F = D x W / I, where F is the focal length, D is the distance from the lens to the screen, W is the width of the image being projected, and I is the distance from the lens to the image source (e.g. projector).

3. What is the ideal focal length for image projection?

The ideal focal length for image projection depends on various factors such as the size and shape of the image being projected, the distance from the lens to the screen, and the type of lens being used. Generally, a longer focal length will result in a larger image being projected, while a shorter focal length will result in a smaller image.

4. How does the lens focal length affect image quality?

The lens focal length can greatly impact the quality of the projected image. A shorter focal length can result in distortion and blurriness at the edges of the image, while a longer focal length can result in a sharper and more focused image. It is important to choose the appropriate focal length for the desired image size and quality.

5. Are there any other factors that can affect image projection besides the lens focal length?

Yes, there are several other factors that can affect image projection, such as the distance between the lens and the screen, the type and quality of the lens, the size and shape of the image being projected, and the lighting conditions in the room. It is important to consider all of these factors in order to achieve optimal image projection.

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