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https://texercises.raemilab.ch/exercise/microperforation/
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The following quantities appear in the problem: Winkel \(\theta\) / Wellenlänge \(\lambda\) /
The following formulas must be used to solve the exercise: \(d\cdot \sin\alpha = 1.22 \cdot\lambda \quad \)
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Exercise:
Swiss bank notes contain a number of tiny holes microperforation as a security feature. The diffraction pattern for red light wavelength laO shows concentric circles. At a distance LO from the bank note the radius of the first circle is rO. Calculate the diameter of a hole.

Solution:
Using the small angle approximation the condition for the first maximum is given by fracr_ell z_ fraclambdad It follows for the diameter of a hole d dF z times fracla times Lr d approx resultdP-
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Exercise:
Swiss bank notes contain a number of tiny holes microperforation as a security feature. The diffraction pattern for red light wavelength laO shows concentric circles. At a distance LO from the bank note the radius of the first circle is rO. Calculate the diameter of a hole.

Solution:
Using the small angle approximation the condition for the first maximum is given by fracr_ell z_ fraclambdad It follows for the diameter of a hole d dF z times fracla times Lr d approx resultdP-
Contained in these collections:
  1. Rayleigh-Kriterium by TeXercises
    11 | 11

Attributes & Decorations
Branches
Electromagnetic Waves
Tags
diffraction, hole, interference
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration