How Far from the Central Maximum Will the Bright Fringe Be?

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SUMMARY

The discussion focuses on calculating the distance from the central maximum to the bright fringe in a laser light show using a diffraction grating. A green laser with a wavelength of 532 nm is utilized, and the diffraction grating has 2700 lines/cm. The technician successfully determined the distance between the slits of the diffraction grating to be 1.69 cm. The formula used for calculating the distance to the bright fringe is X = (wavelength * n * L) / d, where L is the distance to the screen and d is the distance between the slits.

PREREQUISITES
  • Understanding of diffraction grating principles
  • Familiarity with the wavelength of light and its measurement
  • Knowledge of basic trigonometry and wave optics
  • Ability to perform unit conversions (e.g., cm to m)
NEXT STEPS
  • Calculate the distance to the first-order bright fringe using the formula X = (wavelength * n * L) / d
  • Explore the effects of varying the wavelength on fringe spacing
  • Investigate the impact of changing the number of lines per cm on diffraction patterns
  • Learn about the applications of diffraction gratings in spectroscopy
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Students and professionals in physics, optical engineers, and anyone involved in laser technology or optical experiments will benefit from this discussion.

Mspike6
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Hi there.

i solved most of this question, but am not sure about the last part and i was hoping someone would help me.

As part of a laser light show a technician is adjusting a diffraction grating. A green laser with a wavelength of 532 nm is shone on a diffraction grating with 2700 lines/cm. The screen is 35 m from the diffraction grating.

a. What is the distance between the slits of the diffraction grating?

Given:
Wavelength = 5.32*10-7 m
D=2700/100 = 2.7*10-5 m
L=35
N=1

Analysis:

Wavelength = xd/nl
X= (wavelength)(nl) / d

X= 1.69 *10-1 m
The distance between the slits of the diffraction grating is 1.69*10-1cm

a. How far from the central maximum will the bright fringe be?

But i don't know how to caluclate the distance between the central maximum and bright fringe.. and i was hopeing someone would explain how to me.
 
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The distance between the diffraction slits is just D=2700/100=2.7*10^-5 m. X is the distance between the bright fringes (or between the dark fringes).
 
Thanks Ideasrule .
Really appreciate it
 
Last edited:

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