Wavelength of New Laser with Diffraction Grating Measurement

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The discussion focuses on calculating the wavelength of a new laser using a diffraction grating. The scientist uses a grating with a slit distance of 5.00 x 10^-6 m and measures the distance to the second bright fringe at 0.33 m, with the screen positioned 1.50 m away. The formula applied is λ = xd/nL, leading to a calculated wavelength of 5.5 x 10^-7 m. The calculation appears correct, and the main inquiry is about the validity of the solution. The discussion confirms the method and result for determining the laser's wavelength.
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Homework Statement



To confirm the wavelength of a new laser, a scientist prepares a diffraction grating with a distance of 5.00 x 10^-6 m between slits and places it in front of the laser which is 1.50 m in front of a screen. The scientist measures the distance from the central maxima to the second bright fringe, which is 0.33 m. What is the wavelength of the laser?

d = 5.00 x 10^-6 m
L = 1.50 m
n = 2
x = 0.33m

Homework Equations



λ= xd/nL

λ= sinθ(d)/n

The Attempt at a Solution



λ = xd/nL

= (0.33m)(5.00 x 10^-6m) / (2)(1.50)
= 5.5 x 10^-7 m
 
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