What are the variables in the equation λ=xd/L in Physical Optics?

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Homework Help Overview

The discussion revolves around the equation λ=xd/L, which is related to physical optics. Participants are seeking clarification on the meanings of the variables involved in this equation.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the definitions of the variables in the equation, specifically x, d, and L. There are attempts to relate numerical values to these variables, but clarity is lacking. Questions are raised about the correspondence of these variables to physical concepts such as slit separation and width.

Discussion Status

The discussion is ongoing, with multiple participants questioning the meanings of the variables. There is a shared sense of confusion, and some participants reference a lab conducted in class, suggesting that practical experience may inform their understanding.

Contextual Notes

Participants indicate that they have previously engaged with the topic in a lab setting, but they are currently struggling to connect that experience with the theoretical aspects of the equation.

NP04
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Homework Statement
Monochromatic light falls on a single slit 0.01 cm wide and develops a first-order minimum (dark band) 0.59 cm from the center of the central bright band on a screen that is one meter away. Determine the wavelength of the light.
Relevant Equations
λ=xd/L
I know I have to use λ=xd/L. But I don't know what any of those variables (except lambda) mean. If you assume that 0.59 is x times d, you can get an answer that is close. 0.59/100 = 5.9*10^-3. Can someone explain the solution and meanings of variables using a diagram?
(The answer to the problem is 5.9*10^-5 cm).
 
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How can you have a homework problem using variables that mean nothing to you?
 
phinds said:
How can you have a homework problem using variables that mean nothing to you?

There is slit separation, slit width, distance between center maximum. I just don't know which variable corresponds to each.
 
NP04 said:
There is slit separation, slit width, distance between center maximum. I just don't know which variable corresponds to each.
That doesn't answer my question, since if you don't know which is which, that's equivalent to not knowing what the variables are
 
phinds said:
That doesn't answer my question, since if you don't know which is which, that's equivalent to not knowing what the variables are

Ok, so I'm asking what they are.

We did a lab on this in class.
 

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