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given a diffraction grating with 300 lines per mm, what is the spacing d between lines? as- suming that the lines in the grating are manufactured with a tolerance of 1%, what is the estimated uncertainty in the line spacing d

Sagot :

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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