Focal Length of Diverging Lens: Negative Value Confirmed?

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In summary, the focal length of a diverging lens is the distance from the lens to the point where parallel rays of light converge after passing through the lens. A negative focal length indicates that the lens is a diverging lens, which means that it will cause parallel rays of light to diverge and create a virtual image. The focal length of a diverging lens can be calculated using the lens maker's formula, and it will always result in a negative value. The focal length of a diverging lens determines the size and position of the resulting image, with a longer focal length resulting in a smaller and closer image, and a shorter focal length resulting in a larger and further image.
  • #1
grscott_2000
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Can someone confirm that the focal length of a diverging lens is always negative in value?

Regards
 
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  • #2
Yes, according to convention.
 
  • #3
,

I can confirm that the focal length of a diverging lens is indeed always negative in value. This is because a diverging lens causes light rays to diverge, or spread out, rather than converge as in a converging lens. The negative sign indicates that the focal point is located behind the lens, as opposed to in front of it. This is a fundamental principle in optics and can be mathematically derived from the lens equation. Therefore, it is a well-established fact in the scientific community that the focal length of a diverging lens is negative.
 

1. What is the focal length of a diverging lens?

The focal length of a diverging lens is the distance from the lens to the point where parallel rays of light converge after passing through the lens.

2. What is a negative focal length?

A negative focal length indicates that the lens is a diverging lens. This means that the parallel rays of light passing through the lens will diverge instead of converging, resulting in a virtual image.

3. How is the focal length of a diverging lens calculated?

The focal length of a diverging lens can be calculated using the lens maker's formula: 1/f = (n-1)(1/R1 - 1/R2), where f is the focal length, n is the refractive index of the lens material, and R1 and R2 are the radii of curvature of the lens surfaces.

4. Can a diverging lens have a positive focal length?

No, a diverging lens will always have a negative focal length. This is because the lens is designed to cause the parallel rays of light to diverge, rather than converge.

5. How does the focal length of a diverging lens affect the resulting image?

The focal length of a diverging lens determines the size and position of the resulting image. A longer focal length will result in a smaller and closer image, while a shorter focal length will result in a larger and further image.

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