Unclear geometry in optics problem

In summary, the question discusses a parallel quadratic slab of glass with a thickness of 2 cm and a length of 21 cm, resting on a larger slab of glass. To prevent optical contact weld, a small teflon ball with a diameter of 1 cm is inserted between the slabs, 1 cm away from the edge. The question asks for the formula for the dark fringe position as a function of the distance from the point of contact, and the number of bright fringes formed when 500 nm light is incident perpendicularly on the structure. The only unclear aspect is the interpretation of the incident light, whether it is perpendicular to the large glass slab or to the top slab at an angle due to the teflon
  • #1
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Homework Statement


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A parallel quadratic slab of glass (n = 1.55 and thickness d = 2 cm, L = 21 cm) rests on a large slab of glass (n = 1.55). To prevent the optical contact weld forming between the two polished surfaces, a small teflon ball (D = 1 cm) is inserted between the slabs on one side 1 cm away from the edge. 500 nm light is incident perpendicularly on this structure.

(a) Find the formula for the dark fringe position as the function of the distance from the point of contact.

(b) Find the number of bright fringes formed.

Homework Equations



The Attempt at a Solution



This question should be simple enough as soon as I get a clear picture of the geometry of the system. Can anybody provide some insight?
 
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  • #2
It sounds like something like this:
Fig2.gif


The only grey area I see is how to interpret "500 nm light is incident perpendicularly on this structure". Does it mean perpendicular to the large glass slab (so the light is vertical), or to the top slab which is at slight angle thanks to the teflon ball? I suspect the latter.
 

1. How do I determine the correct geometry for an optics problem?

In order to determine the correct geometry for an optics problem, it is important to carefully read and understand the problem statement. Identify all relevant objects and their positions in relation to one another. You may also need to refer to diagrams or illustrations provided with the problem. It can also be helpful to break down the problem into smaller, more manageable parts.

2. What should I do if the geometry in an optics problem is unclear?

If the geometry in an optics problem is unclear, it can be helpful to make assumptions or estimations in order to simplify the problem. You can also try drawing out different possible geometries to see which one makes the most sense or yields the most logical solution. If all else fails, it may be necessary to consult with a teacher or fellow scientist for clarification.

3. Are there any common mistakes that can lead to unclear geometry in optics problems?

Yes, there are a few common mistakes that can lead to unclear geometry in optics problems. These include misreading or misinterpreting the problem statement, not fully understanding the properties of light and how it behaves, and neglecting to consider all relevant objects and their positions in the problem. It is important to double check your work and be thorough in your analysis to avoid these mistakes.

4. How does the accuracy of my measurements affect the geometry in an optics problem?

The accuracy of your measurements can greatly impact the accuracy of the geometry in an optics problem. If your measurements are not precise or consistent, it can lead to incorrect assumptions about the positions and distances of objects in the problem. It is important to use reliable and precise measurement techniques to ensure the accuracy of your geometry calculations.

5. What are some strategies for solving optics problems with complex geometry?

Some strategies for solving optics problems with complex geometry include breaking the problem down into smaller, simpler parts, using diagrams or illustrations to aid in visualization, and making educated estimations or assumptions. It can also be helpful to refer to similar problems or consult with a teacher or fellow scientist for guidance. Practice and familiarity with optics concepts and equations can also aid in solving complex geometry problems.

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