Understanding Virtual Images in Lenses and Mirrors

In summary, a stamp collector used a converging lens with a focal length of 32 cm to view a stamp placed 17 cm in front of the lens. The image is located behind the lens, making it a virtual image. The equation 1/f = 1/do + 1/di was used to calculate the image distance, which was found to be -32.267 cm. This negative value indicates that the image is virtual. In terms of lenses and mirrors, the terms "front" and "behind" refer to the viewer's perspective, where behind the lens is in front for the lens.
  • #1
whitehorsey
192
0
1. A stamp collector uses a converging lens with focal length 32 cm to view a stamp 17 cm in front of the lens.

Where is the image located?
a. in front of the lens (real image)
b. behind the lens (virtual image)


2. 1/f = 1/do + 1/di


3. 1/32 = 1/17 + 1/di
di = -32.267 cm

Because it's negative it is a virtual image.

For this problem, I imagined

front behind
---f--do---lens-----------

A virtual image is in the same side as the object. So something like this:
http://www.pa.msu.edu/courses/2000fall/PHY232/lectures/lenses/virtual_image.gif


So then why does the answer say if its virtual it is behind the lens? Also, what is considered front/behind for lens/mirrors?
 
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  • #2
I think it is referring to the viewer. Behind the lens for the viewer is in front for the lens.
 
  • #3
Thank You!
 

1. How do mirrors work?

Mirrors work by reflecting light. When light hits the smooth surface of a mirror, it bounces off at the same angle it hit the mirror. This creates a virtual image of the object in front of the mirror. The smooth surface of the mirror ensures that the reflected light rays remain parallel, resulting in a clear and accurate reflection.

2. What is the difference between a concave and convex mirror?

A concave mirror is curved inward, while a convex mirror is curved outward. This difference in curvature affects how light is reflected. Concave mirrors reflect light inwards, creating a real image that can be projected onto a surface. Convex mirrors, on the other hand, reflect light outwards, creating a virtual image that appears smaller than the actual object.

3. How do lenses work?

Lenses work by bending and focusing light rays. Convex lenses, also known as converging lenses, bend light towards a central point, resulting in a magnified and upright image. Concave lenses, or diverging lenses, bend light away from a central point, resulting in a smaller and inverted image.

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

Converging lenses, also known as convex lenses, focus light rays towards a central point, resulting in a magnified and upright image. Diverging lenses, or concave lenses, spread out light rays away from a central point, resulting in a smaller and inverted image.

5. How are mirrors and lenses used in everyday life?

Mirrors and lenses have many practical applications in our daily lives. Mirrors are commonly used in bathrooms, dressing rooms, and cars to reflect light and create a clear image of ourselves. Lenses are used in eyeglasses, cameras, and telescopes to correct vision and magnify objects. They are also used in microscopes, projectors, and binoculars to view small or distant objects.

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