Ray diagram diverging lens both object and image virtual

In summary, the conversation discusses the request for a ray diagram of a diverging lens with virtual object and image, where f < 0 and p < 0. The speaker asks for guidance on where to find or how to create this diagram, and a resource is suggested for ideas.
  • #1
crick
43
4

Homework Statement


Draw the ray diagram of the case of a diverging lens where both object and image are virtual, that is ##f<0## , ##p<0## with ##p<f##

Homework Equations

The Attempt at a Solution


I did not find this particular case of ray diagram in any textbook so I would like to know where to find it or how to build it on my own.

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  • #2
crick said:

Homework Statement


Draw the ray diagram of the case of a diverging lens where both object and image are virtual, that is ##f<0## , ##p<0## with ##p<f##

Homework Equations

The Attempt at a Solution


I did not find this particular case of ray diagram in any textbook so I would like to know where to find it or how to build it on my own.

View attachment 199516
Watch this .
It might give you ideas you can apply to the diverging lens.
 

1. How do you draw a ray diagram for a diverging lens with an object?

To draw a ray diagram for a diverging lens with an object, follow these steps:

  1. Draw the lens with its principal axis and focal points labeled.
  2. Place the object on the left side of the lens, at a distance greater than the focal length.
  3. Draw a ray from the top of the object parallel to the principal axis. This ray will refract away from the principal axis, passing through the focal point on the left side of the lens.
  4. Draw a ray from the top of the object through the center of the lens. This ray will continue in a straight line and not be refracted.
  5. Draw a ray from the top of the object through the focal point on the right side of the lens. This ray will refract parallel to the principal axis.
  6. The point where these three rays intersect will be the top of the virtual image formed by the lens.
  7. Repeat these steps for the bottom of the object to complete the ray diagram.

2. What is a virtual image and how is it formed in a diverging lens?

A virtual image is an image formed by the apparent intersection of light rays, but the rays do not actually converge at that point. In a diverging lens, the virtual image is formed when the refracted rays appear to be diverging from a point behind the lens, rather than converging at a point in front of the lens.

3. How does the position of the object affect the position of the virtual image in a diverging lens?

The position of the object affects the position of the virtual image in a diverging lens in the following ways:

  • If the object is placed closer to the lens than the focal length, the virtual image will be formed on the same side of the lens as the object, but it will be larger than the object.
  • If the object is placed at the focal length, there will be no virtual image formed.
  • If the object is placed at a distance greater than the focal length, the virtual image will be formed on the opposite side of the lens as the object, and it will be smaller than the object.

4. How does the size of the object affect the size of the virtual image in a diverging lens?

The size of the object does not have a direct effect on the size of the virtual image in a diverging lens. However, the distance between the object and the lens does affect the size of the virtual image. If the object is closer to the lens, the virtual image will be larger, and if the object is farther from the lens, the virtual image will be smaller.

5. What is the difference between a virtual image and a real image in a diverging lens?

A virtual image is formed when the apparent intersection of light rays creates an image that does not actually exist. In a diverging lens, the virtual image is always upright, smaller than the object, and located on the opposite side of the lens as the object. A real image, on the other hand, is formed when the light rays actually converge at a point, creating an image that can be projected onto a screen. A real image in a diverging lens is always inverted, magnified or reduced in size, and located on the same side of the lens as the object.

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