How Do You Calculate the Density of a Diffraction Grating?

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SUMMARY

The calculation of the density of a diffraction grating involves using the wavelength of light and the order of the maximum. In this case, with a wavelength of 475 nm and a fifth-order maximum, the thickness (t) was calculated as 1.30625 x 10^-6 cm. To find the density in lines per centimeter, the formula for density is derived from the relationship between thickness and the number of lines, specifically using the equation density = 1/(2t). This results in a density of approximately 383,000 lines/cm.

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Homework Statement


A diffraction grating uses light with a wavelength of 475 nm to generate an interference pattern. if the highest order maximum that appears is the fifth-order. what is the density of the grating in lines/cm?


Homework Equations


sinθ = mλ / d
t= (m + 1/2) (λ) / 2


The Attempt at a Solution


t = (m + 1/2) (λ) / 2
t - (5 + 1/2) (475 x 10^-9) / 2
t= (2.6125 x 10^-6) / 2
t= 1.30625 x 10^-6 cm


so i got the answer in cm and t is for thickness, but the question wants the answer in lines/cm, and i don't know how to get it like that, so please anyone can help
 
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can anyone help??
 
maybe u can use 1/2t
 

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