Single Slit Exp: Find Number of Minima in 0-19deg Range

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Homework Help Overview

The discussion revolves around a single slit diffraction problem, specifically focusing on determining the number of minima that occur within a specified angular range from 0 to ±19 degrees. The parameters include a slit width of 819 nm and a light wavelength of 405 nm.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the angle and the number of minima, referencing a formula involving the tangent of the angle and the slit parameters. There is an emphasis on understanding the integer nature of the minima count.

Discussion Status

Some participants are seeking clarification on how to derive the number of minima, while others provide hints and suggest using a formula. The conversation indicates a mix of attempts to understand the underlying principles and the application of the formula.

Contextual Notes

One participant mentions an upcoming exam, which may influence the urgency and nature of the help requested. There is also a note about ensuring the angle is considered in both positive and negative directions.

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A single slit with width 819 nm is illuminated with light of wavelength 405 nm. How many
minima occur in the angular range from theta = 0 to theta = ±19deg?


I have an exam tomm please help me out with some problems.

actually, i hv the answer but i don't know how to derive it!
 
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i just googled 4 keywords and got the formula, try it! :)
 
Please Help me though!
 
tan(theta) = m * Wavelength/SlitWidth

You know all the values except m.
m is the number of minima (it's an integer obviously).

Be careful about the angle, its a plus-minus.
 

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