Calculating Wavelength of Laser Beam using Single Slit

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SUMMARY

The discussion focuses on calculating the wavelength of a laser beam passing through a single slit with a width of 0.0186 mm, producing a diffraction pattern observed on a screen 105.6 cm away. The spacing between the minima on either side of the central maximum is 7.16 cm, which is essential for determining the wavelength. The relevant equations include the relationship between wavelength, frequency, and energy, specifically using the formulas wavelength = c/f and E = hf. The user seeks guidance on applying these equations to solve the problem effectively.

PREREQUISITES
  • Understanding of wave optics, specifically single-slit diffraction.
  • Familiarity with the equations of wave mechanics, including wavelength and frequency relationships.
  • Knowledge of the Planck constant (h = 6.63E-34 J·s).
  • Basic proficiency in using measurement units, particularly converting between millimeters and nanometers.
NEXT STEPS
  • Research the principles of single-slit diffraction and how to derive the wavelength from the intensity pattern.
  • Study the relationship between wavelength, frequency, and energy in detail, focusing on the equations E = hf and wavelength = c/f.
  • Explore practical examples of calculating wavelengths in laser applications using similar setups.
  • Investigate the impact of slit width on diffraction patterns and how it affects wavelength calculations.
USEFUL FOR

Students in physics, optical engineers, and anyone involved in laser technology or wave optics who seeks to understand the calculation of wavelengths in diffraction scenarios.

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A laser beam passes through a single slit of width 0.0186 mm and produces a pattern with an intensity distribution like that shown in Figure 13a (page 208), on a screen 105.6 cm away. If the spacing between the minima on either side of the central maximum is 7.16 cm (in other words, 2y1 in Figure 13b, page 208), the wavelength of the light is ? nm.

I have absolutely no idea how to start this problem. I know that i read something in my textbook about how with intensity of laser beams need to be calculated thru E

wavelength=c/f

E=hf

E=hc/wavelength

h=6.63E-34

but I did not know if I had to/how to use these equations in this problem.
 

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