Distance between lense and film to get a focused picture

In summary, Esperanza uses a 35-mm camera with a standard lens of focal length 50.0 mm to take a photo of her son Carlos, who is 1.3 m tall and standing 4.0 m away. The distance between the lens and the film should be 50.6 mm for a properly focused picture. The magnification of the image can be calculated using the equation m=-q/p, which yields a value of -0.013. It is possible that this value is incorrect due to the use of insufficient significant figures.
  • #1
phy112
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Homework Statement


Esperanza uses a 35-mm camera with a standard lens of focal length 50.0 mm to take a photo of her son Carlos, who is 1.3 m tall and standing 4.0 m away.

What must be the distance between the lens and the film to get a properly focused picture?
this answer is 50.6 mm.

What is the magnification of the image?
shouldnt this just be m=-q/p. i keep getting -.013 and its wrong

Homework Equations





The Attempt at a Solution

 
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  • #2


There doesn't seem to be anything wrong with the calculation, could it just be you need to use more significant figures?
 
  • #3


I would like to clarify that the distance between the lens and the film to get a properly focused picture is not a fixed value. It depends on various factors such as the focal length of the lens, the distance between the subject and the camera, and the desired depth of field.

In this specific scenario, with a 35-mm camera and a standard lens of focal length 50.0 mm, the distance between the lens and the film to get a properly focused picture can be calculated using the thin lens equation: 1/f = 1/p + 1/q, where f is the focal length of the lens, p is the distance between the lens and the subject, and q is the distance between the lens and the film.

Using the given values, we can rearrange the equation to solve for q and get q = (pf)/(p-f) = (1.3)(50.0)/(1.3-50.0) = 50.6 mm.

As for the magnification of the image, it is not just a simple ratio of q and p. The magnification of an image is the ratio of the size of the image to the size of the object, and it can be calculated using the equation m = -q/p. In this case, the magnification would be -50.6/1.3 = -38.9, indicating that the image of Carlos would be smaller than his actual size.

It is also worth noting that the magnification of the image can change if the distance between the lens and the subject (p) changes. Therefore, it is important to specify the distance between the lens and the subject when calculating the magnification.
 

1. What is the distance between the lens and film to get a focused picture?

The distance between the lens and film to get a focused picture, also known as the focal length, varies depending on the type of lens and the desired level of focus. Generally, it ranges from a few millimeters to several centimeters.

2. How does the distance between the lens and film affect the focus of a picture?

The distance between the lens and film is a crucial factor in determining the focus of a picture. If the distance is too short, the image will appear blurry, and if it is too long, the image will be out of focus. Finding the right distance is essential for obtaining a clear and sharp image.

3. Can I adjust the distance between the lens and film to get a focused picture?

Yes, the distance between the lens and film can be adjusted by either moving the lens or the film closer or further away from each other. This can be done manually or through the use of autofocus systems in modern cameras.

4. Does the distance between the lens and film affect the depth of field?

Yes, the distance between the lens and film is one of the factors that affect the depth of field in a picture. A shorter distance will result in a smaller depth of field, while a longer distance will result in a larger depth of field.

5. How do I measure the distance between the lens and film?

The distance between the lens and film can be measured using a ruler or a specialized lens-to-film distance gauge. It is important to measure from the film plane, which is the flat surface where the film or digital sensor is located, to the back of the lens. This distance can also be found in the specifications of a lens.

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