Help with radius of curvature and refractive index of lens

In summary, the poster is looking for help with a math problem. They say they know how to apply the lens maker formula, but do not know the difference between two different n values.
  • #1
jack hunter
4
0
Hi, I am a first time poster and I am completely lost with this question. Any help would be greatly appreciated

Filling the space between a contact lens and the cornea is a small quantity of liquid of refractive index of 1.336. Assuming the refractive index of the lens material is 1.490 find the effect on the power of the system of changing the radius of curvature of the posterior surface of the contact lens from 8 mm to 7 mm.
 
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  • #2
Hello Jack, welcome to PF :smile: !

In the PF world it's a good custom posters adhere to the template. It's really beneficial for all, so its use has been made mandatory (see guidelines) .

Same thing for an attempt at solution. It helps to provide adequate assistance instead of rehashing things the poster already knows, or (worse) robbing him/her of the learning experience.

So tell us what you have been made familiar with in the lectures or in your preceding studies, find some equations that apply and show what you've found, tried and/or rejected so far. We'll help you further if we can.

Oh, and there's no need to post the same thing twice in different fora. There are good spirits floating around that start becoming nasty when they bump into such a thing.
 
  • #3
ok, so what I know so far:

The equation I am supposed to use I think is F= (n-1)((1/r1) - (1/r2)). Thats all I know.
 
  • #4
Seems like a good idea. How did you get it :wink: ?

If you know how to apply it, there's nothing holding you back. Perhaps you can post wat you find.

If you don't know what the equation is about, or how to apply it with multiple n (may not even be necessary), now is the time to go and find out. From your notes, the book, or the web .
 
  • #5
Im doing a unit were I have to do extra studies which are not really touched on in the lecture notes. So, I quite out of my ball park on this one, and I am completely lost of the two different n values.
 
  • #6
Well, play around a bit with this lens maker formula (also here ?). Make a drawing, show some work so that potential helpers can come into action (see post #2)
 

1. What is the formula for calculating the radius of curvature of a lens?

The formula for calculating the radius of curvature of a lens is R = 2 * (n - 1) * f, where R is the radius of curvature, n is the refractive index of the lens, and f is the focal length of the lens.

2. How do I measure the refractive index of a lens?

The refractive index of a lens can be measured using a refractometer or by comparing the bending of light passing through the lens with that of a known reference material.

3. Why is the radius of curvature important in lens design?

The radius of curvature is important in lens design because it determines the bending of light and, therefore, the focal length and magnification of the lens. It also affects the quality and distortion of the image produced by the lens.

4. Can the refractive index of a lens change?

Yes, the refractive index of a lens can change depending on the material it is made of and the environmental conditions, such as temperature and pressure. This can result in changes in the lens' optical properties and performance.

5. How does the radius of curvature affect the power of a lens?

The radius of curvature is directly related to the power of a lens. A lens with a shorter radius of curvature will have a greater power and will bend light more, while a lens with a longer radius of curvature will have a lower power and bend light less.

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