How to Calculate Image Position and Magnification for a Camera Lens?

In summary, the focal length of a camera lens is 55mm and the object is 500mm away. Using the equation 1/u + 1/v = 1/f, the position of the image can be calculated to be approximately 62mm. The magnification of the image is -0.124, indicating that the image is upside down and reduced in size.
  • #1
GoodOldLimbo
7
0

Homework Statement



A camera lens has focal length 55mm and an object is 500mm away. Calculate the position of the image and the magnification (or reduction)


Homework Equations



1/u + 1/v = 1/f

u = Object Distance

v = Image Distance

f = focal length

m = magnification

The Attempt at a Solution



f = 55

u = 500

1/500 + 1/v = 1/55

1/55 - 1/500 = 1/v

55-1 - 500 -1 = 0.01618

ANS-1 = 61.79 so approximately 62mm

v/u = m

62/500 = 0.124M

Did I go with the right approach? Any help would be great.
 
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  • #2
Looks OK to me.

The only things I can think of is that the magnification M = -0.124

1) magnification is supposed to be -ve because the image is usually upside down after the light rays go through a lens provided the object is outside the focal length

2) 0.124M should just be 0.124 since it is a dimensionless number.
 

What is camera lens magnification?

Camera lens magnification refers to the ability of a camera lens to make an object appear larger in the final image than it actually is in real life. This is achieved through the use of different lens elements and focal lengths.

How is camera lens magnification measured?

Camera lens magnification is measured by the lens's focal length. A longer focal length will result in a higher magnification, while a shorter focal length will result in a lower magnification.

What is the difference between optical and digital magnification?

Optical magnification is achieved through the physical properties of the camera lens, while digital magnification is achieved through software processing. Optical magnification is generally considered to be of higher quality and produces sharper images compared to digital magnification.

What are the advantages of a higher lens magnification?

A higher lens magnification allows you to capture more detail and produce larger images of distant objects. It is particularly useful for wildlife and sports photography, where you need to capture subjects from a distance.

Are there any disadvantages to using a high lens magnification?

Using a high lens magnification can result in a narrower field of view, making it difficult to capture wide shots or include multiple subjects in the frame. It can also require a higher level of skill and stabilization techniques to avoid blurry images due to camera shake.

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