Radius of curvature and focal distance question?

In summary, the conversation discusses two questions regarding radius of curvature and focal distance. The first question asks for the radius of curvature of a lens with a focal distance of 40 cm and an index of 1.2. The second question involves an object placed 35 cm away from the lens, projecting a real image .55 m behind the lens, and asks for the lens' focal distance. The conversation ends with an invitation for the person to share their attempts and where they are stuck so that they can receive help.
  • #1
ChrisScience
2
0
Radius of curvature and focal distance question?

Hi everyone! Really struggling on these two questions and have spent way too many hours coming up with the wrong answers. Below are the questions and my attempts. Any help would be greatly appreciated!


1. Calculate the radius of curvature of a lens with a focal distance of 40 cm and an index of 1.2.


2. An object placed 35 cm away from a lens projects a real image .55 m behind the lens. What is this lens’ focal distance?
 
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  • #2
Hi ChrisScience! Welcome to PF! :wink:

What are the relevant equations?

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

FAQ: Radius of curvature and focal distance question?

What is the difference between radius of curvature and focal distance?

The radius of curvature is the distance from the center of a curved surface to its outermost edge, while the focal distance is the distance from a lens or mirror to its focal point.

How are radius of curvature and focal distance related?

Radius of curvature and focal distance are inversely related. This means that as the radius of curvature increases, the focal distance decreases, and vice versa.

How do you calculate the radius of curvature and focal distance of a lens or mirror?

The radius of curvature can be calculated by measuring the distance between the center of the lens or mirror and its edge. The focal distance can be calculated using the formula f = R/2, where f is the focal distance and R is the radius of curvature.

What is the significance of radius of curvature and focal distance in optics?

Radius of curvature and focal distance are important properties in optics as they determine the magnification and image formation of lenses and mirrors. They also affect the quality of the image formed.

How does the radius of curvature and focal distance affect the power of a lens?

The radius of curvature and focal distance are directly related to the power of a lens. A lens with a smaller radius of curvature and shorter focal distance has a higher power, while a lens with a larger radius of curvature and longer focal distance has a lower power.

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