Calculating Object-Lens Distance for Diverging Lens Optics

In summary, the diverging lens has a focal length of 6mm and an image magnification of 0.5. The distance between the object and lens can be found using the lens maker formula, but if the signs are not taken into account correctly, it can result in an incorrect distance of 18mm instead of the correct 6mm. It is important to carefully consider the signs when using the formula to avoid errors.
  • #1
slaw155
41
0
Diverging lens has focal length 6mm and image magnification 0.5. What is the distance between object and lens?

I used the fact that distance image to lens/distance object to lens = 0.5 and the lens maker formula with f=-6 and combined the two formula but this gives distance = 18mm, when answer is in fact 6mm.
Where have I gone wrong?
 
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  • #2
slaw155 said:
Diverging lens has focal length 6mm and image magnification 0.5. What is the distance between object and lens?

I used the fact that distance image to lens/distance object to lens = 0.5 and the lens maker formula with f=-6 and combined the two formula but this gives distance = 18mm, when answer is in fact 6mm.
Where have I gone wrong?

Show your work. Take care of the signs.

ehild
 
  • #3
thanks solved it
 

FAQ: Calculating Object-Lens Distance for Diverging Lens Optics

What is a diverging lens?

A diverging lens is a type of optical lens that causes parallel light rays to spread out or diverge. It has a concave shape, meaning that the center portion is thinner than the edges.

How does a diverging lens work?

A diverging lens works by refracting light rays that pass through it. When parallel light rays enter the lens, they are bent away from the center, causing them to spread out. This creates a virtual image that appears smaller and closer to the lens.

What are the characteristics of a diverging lens?

Diverging lenses have a negative focal length, meaning that the focal length is measured from the lens to the virtual image formed. They also have a negative power, which is measured in diopters. The greater the power, the more the light rays are spread out.

What is the difference between a diverging lens and a converging lens?

The main difference between diverging and converging lenses is their shape and the way they refract light. Converging lenses have a convex shape and cause light rays to converge or come together at a focal point. Diverging lenses, on the other hand, have a concave shape and cause light rays to diverge or spread out.

What are some common applications of diverging lenses?

Diverging lenses have a variety of applications in various fields. They are commonly used in eyeglasses to correct nearsightedness, in microscopes and telescopes to magnify images, and in cameras to focus light onto the film or sensor. They are also used in headlights of cars to spread out the beam of light to cover a wider area.

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