The spacing between the lines is 3.33 X 10⁻³ mm and the estimated uncertainty in the line spacing is 3.33 X 10⁻⁵ mm.
Diffraction grating = 300 lines/mm
Thus,
The spacing between the lines = d =
= d = 1/300 lines/mm
= d = 3.33 X 10⁻³ mm
A grating consists of many slits, or lines, close together. In a grating, the spacing between adjacent lines is constant. Gratings are also used to produce interference patterns. When waves are incident on a grating all of the lines act as coherent sources of the waves.
Now, the uncertainty in the lines spacing is = Δ d =
= Δd = d (tolerance)
= Δd = 3.33 X 10⁻³ X 1%
= Δd = 3.33 X 10⁻⁵ mm
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