How does the wavelength of light affect the radius of a diffraction disc?

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SUMMARY

The discussion centers on the impact of light wavelength on the radius of a diffraction disc, specifically comparing visible light and X-rays. When visible light passes through a circular aperture, it creates a diffraction disc with a radius of 0.1mm. As the wavelength of light increases, such as when using X-rays, the radius of the diffraction disc decreases. This relationship is governed by the principles of diffraction and interference, which are typically outlined in physics textbooks.

PREREQUISITES
  • Understanding of diffraction principles
  • Familiarity with the wave-particle duality of light
  • Knowledge of the relationship between wavelength and diffraction patterns
  • Basic physics concepts related to light behavior
NEXT STEPS
  • Research the formula for calculating diffraction patterns, specifically the single-slit diffraction equation
  • Study the effects of wavelength on diffraction using simulations or experiments
  • Explore the differences between visible light and X-ray diffraction
  • Learn about the applications of diffraction in various scientific fields
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Students in physics, educators teaching optics, and anyone interested in the principles of light behavior and diffraction phenomena.

utkarshakash
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Homework Statement


Visible light passing through a circular hole forms a diffraction disc of radius 0.1mm on a screen. If X-ray is passed through the same set up, what will happen to the radius of diffraction disc?

The Attempt at a Solution



I'm really clueless regarding this question. I tried to find a formula for radius of the disc but I don't think I need any formulas. Can anyone please help?
 
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What formula do you have that describes diffraction?
 
utkarshakash said:
. . . I don't think I need any formulas. Can anyone please help?
Without using formulas, you would need to know in general what happens to diffraction and interference patterns when the wavelength is increased or decreased.

So, your textbook or class notes should either have a formula for diffraction, or have a discussion about diffraction that includes how the wavelength affects diffraction.
 

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