Calculating Slit Width and Angular Deflection for 630nm and 450nm Light

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SUMMARY

The discussion focuses on calculating the slit width and angular deflection for light wavelengths of 630nm and 450nm. Using the equation θ = λ/d, where θ is the angular deflection, λ is the wavelength, and d is the slit width, the slit width for 630nm light is determined based on an angular deflection of 3.6 degrees. Additionally, the angular deflection for the tenth dark band using 450nm light is calculated using the same principles, providing insights into the relationship between wavelength and diffraction patterns.

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  • Understanding of wave optics principles
  • Familiarity with the concept of diffraction
  • Knowledge of angular measurements in radians
  • Proficiency in using the equation θ = λ/d
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  • Calculate slit width for various wavelengths using the equation θ = λ/d
  • Explore the effects of slit width on diffraction patterns
  • Learn about the relationship between wavelength and angular deflection in diffraction
  • Investigate advanced diffraction patterns using multiple slits
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Students and professionals in physics, particularly those studying optics and wave phenomena, as well as educators looking to enhance their understanding of diffraction and its applications.

RachelSSS
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Light of wavelength 630nm passes through a single slit. The angular deflection to the tenth dark band on the side of the center maximum is 3.6 degrees. A) Calculate the slit width. B) Calculate the angular deflection to the tenth dark band using light of 450 nm wavelength.

relevant Equations :

delta y = L(Lamda) over d.
 
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Convert degree into radian. Then angle theta = delta y/L = Lamda/d
 

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