How to Estimate Resolution with Given Lens Parameters?

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Homework Help Overview

The discussion revolves around estimating the resolution of a lens with specific parameters, including its power, radius, and the medium's refractive index. The original poster presents a scenario involving light of a particular wavelength and seeks to understand how to apply the resolution formula in this context.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the resolution formula but encounters difficulties in determining the necessary parameters, such as the angle theta and the distance between the object and the lens. They express confusion regarding the use of modified lens formulas that require additional information.

Discussion Status

The discussion is ongoing, with the original poster actively seeking insights and suggestions from others. There is no clear consensus yet, as participants have not provided direct solutions but may be exploring various interpretations of the problem.

Contextual Notes

Participants note that the problem is categorized as a practice problem, which may influence the nature of the responses and the level of detail expected in the discussion.

bemigh
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Hey guys.
I have a lens problem:
A lens has a power of 300 dipoters, and a radius a of 2 mm. An object is located just beyond the focal length to get high magnification. The space between the object is filled oil with an index of refraction 1.4. Estimate the resolution for 500 nm light.

Ok.. getting started..
I know the resolution formula is: R=(0.61*lambda)/n*sine(theta)

Where theta is the angle between the R vector and the axis of the lens. So to find theta, i need to either solve for R, or s (distance between the object and the lens), and use trig to solve for the angle.
But I'm seeming to run into dead ends... basically using modified lens formulas that ask for the image distance and such.
any ideas?
Cheers
Brent
 
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Has anyone ever answered any questions on here
 
These are practice problems.When you are solved, I move them to the homework forums.
 
Slaterdom said:
Has anyone ever answered any questions on here

See here: https://www.physicsforums.com/threads/read-me-how-to-use-this-forum.855656/
 

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