Finding the angular spread of a diffraction minima?

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SUMMARY

The discussion focuses on calculating the angular spread of the first diffraction minima for light of wavelength 6000Å illuminating a single slit of width 10^-4 m. The relevant equations include Y = nλ/a for minima and Y = (2n±1)λ/a for maxima. The participant seeks clarification on whether the angular spread of a minima is defined by the angles subtended by the maxima on either side. The consensus indicates that the width of diffraction minima is often overlooked due to the lack of a precise answer.

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  • Understanding of wave optics principles
  • Familiarity with the single-slit diffraction equation
  • Knowledge of angular measurements in physics
  • Basic proficiency in algebra for manipulating equations
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Peter Andrews
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1. Homework Statement
Light of wavelength 6000Å illuminates a single slit of width 10-4m. Calculate the angular spread of first diffraction minima.

Homework Equations


d*y/D = nλ
Y = nλ/a for minima
Y = (2n±1)λ/a for maxima
Y stands for the position on screen, d is slit width and D is separation between screen and slit.

The Attempt at a Solution


I understand that the angular spread of any maxima is the difference in the angles subtended by the two minima on either side of it. But what about angular spread of a minima? Is it the difference in the angles subtended by the two maxima on its either side?
 
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Normally the width of the diffraction minima is a problem that is not addressed because there doesn't seem to be a precise answer to the question. Perhaps your instructor can provide further clarification.
 

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