Which Lens Types Can Achieve Positive Magnification?

In summary, the answer to which type of lens can have a magnification greater than 0 is C) Both, but a converging lens has m > 1 while a diverging lens has m between 0 and 1. This means that both converging and diverging lenses can have positive magnification, with a converging lens having a magnification greater than 1 and a diverging lens having a magnification between 0 and 1.
  • #1
kimberlyann9
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Homework Statement


Which type of lens can have a magnification greater than 0? Which statement is most complete?

A) Both, and both converging and diverging lens can have any m > 0.
B) A diverging lens only.
C) Both, but a converging lens has m > 1 while a diverging lens has m between 0 and 1.
D) A converging lens only.


Homework Equations


m=-s'/s



The Attempt at a Solution


If s or s' are negative, the m is positive. A converging and diverging lens can have positive magnification.
 
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  • #2
Therefore, the most complete answer is C) Both, but a converging lens has m > 1 while a diverging lens has m between 0 and 1.
 

FAQ: Which Lens Types Can Achieve Positive Magnification?

What is the difference between a converging and diverging lens?

A converging lens, also known as a convex lens, is thicker in the middle and thinner at the edges. It causes parallel rays of light to converge and come together at a focal point. On the other hand, a diverging lens, also known as a concave lens, is thinner in the middle and thicker at the edges. It causes parallel rays of light to diverge and spread out.

How do converging and diverging lenses affect the image formed?

A converging lens can produce both real and virtual images, depending on the object's position relative to the lens. Real images are formed when the object is placed beyond the focal point, and the image is inverted. Virtual images are formed when the object is placed between the focal point and the lens, and the image is upright. A diverging lens always produces a virtual image that is upright and smaller than the object.

What is the focal length of a converging or diverging lens?

The focal length of a lens is the distance from the lens to the point where the light rays converge or appear to diverge. For a converging lens, the focal length is positive, while for a diverging lens, the focal length is negative.

How are the focal length and the curvature of a lens related?

The curvature of a lens is directly related to the focal length. A lens with a greater curvature will have a shorter focal length, while a lens with a smaller curvature will have a longer focal length. This is why converging lenses have a thicker middle and shorter focal length, and diverging lenses have a thinner middle and longer focal length.

What are some common applications of converging and diverging lenses?

Converging lenses are commonly used in cameras, telescopes, and magnifying glasses to create enlarged images of distant objects. Diverging lenses are used in glasses or contact lenses to correct nearsightedness. They are also used in laser technology to produce laser beams with a specific focus and divergence angle.

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