Wavelength of New Laser with Diffraction Grating Measurement

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SUMMARY

The wavelength of the new laser is calculated using the formula λ = xd/nL, where d is the distance between slits (5.00 x 10^-6 m), L is the distance to the screen (1.50 m), n is the order of the fringe (2), and x is the distance to the second bright fringe (0.33 m). Substituting these values yields a wavelength of 5.5 x 10^-7 m. This calculation confirms the accuracy of the measurement process and the application of the diffraction grating formula.

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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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