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https://texercises.raemilab.ch/exercise/headlights/
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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:
Estimate the maximum distance of a car such that you can distinguish the two headlights.

Solution:
Using the small angle approximation the Rayleigh criterion yields fracaell z_ fraclambdad where a is the distance between the headlights ell the distance between the car and the observer and d the diameter of the observer's pupil. Using typical values for the required quantities it follows for the maximum distance ell LF fraca times dz times la L approx resultLP
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Exercise:
Estimate the maximum distance of a car such that you can distinguish the two headlights.

Solution:
Using the small angle approximation the Rayleigh criterion yields fracaell z_ fraclambdad where a is the distance between the headlights ell the distance between the car and the observer and d the diameter of the observer's pupil. Using typical values for the required quantities it follows for the maximum distance ell LF fraca times dz times la L approx resultLP
Contained in these collections:
  1. Rayleigh-Kriterium by TeXercises
    9 | 11

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