# Understanding Diverging Lenses: Homework Statement and Solution Attempt

• Aikenfan
In summary, a diverging lens is a type of lens that causes light rays to spread out as they pass through it. It works by refracting light and has properties such as a negative focal length and virtual images. The focal point is determined by the curvature and thickness of the lens. Common applications of a diverging lens include correcting vision, creating wide-angle views in cameras, and producing focused light beams in scientific equipment. They are also used in telescopes and microscopes.

## Homework Statement

How do you know this? if anyone can help, it would be greatly appeciated!

## The Attempt at a Solution

Try drawing a ray diagram.

I have one that was given to me, but i am not exactly sure, we didn't go over it

from what i can tell, it appears that the image will be smaller...i am going to scan it and put it on here, i might be wrong

i believe it would look like this:

Is that correct?

Looks OK to me.

## 1. What is a diverging lens?

A diverging lens is a type of lens that causes light rays to spread out, or diverge, as they pass through it. It is thicker at the edges and thinner in the middle, and is commonly used in eyeglasses and cameras.

## 2. How does a diverging lens work?

A diverging lens works by refracting, or bending, light rays as they pass through it. The shape of the lens causes the light rays to spread out, resulting in a wider image. This is opposite of a converging lens, which brings light rays together to create a narrower image.

## 3. What are the properties of a diverging lens?

The properties of a diverging lens include a negative focal length, virtual and upright images, and a decreased magnification. It also has a smaller field of view and a wider depth of field compared to a converging lens.

## 4. How is the focal point of a diverging lens determined?

The focal point of a diverging lens is determined by the curvature and thickness of the lens. It is the point where parallel light rays would converge if they were extended backward through the lens. The focal point is located on the opposite side of the lens from the object being viewed.

## 5. What are some common applications of a diverging lens?

Diverging lenses have many practical applications, including correcting nearsightedness, creating wide-angle views in cameras, and producing smaller, more focused beams of light in scientific equipment. They are also commonly used in telescopes and microscopes.