Diffraction grating, lines per mm, and how to show the spacing

[Sharr-zeor]

A diffraction grating is labelled 300 lines mm^-1 (lines per mm)
Show that the spacing (d) between the lines on the grating is 3.3 x 10^-6m



i can't really think of any relevant equations. but I'm assuming standard form. i can't believe that the answer would be as simple as converting to m's from mm's



since there are 300 lines in every mm, i assumed converting to standard for, and metres instead of mm. which might get me close to the answer.

300 lines per mm = 3000 per cm = 3000000 per m = each line 3 x 10^-6 ?

this isn't right, clearly. since the anser is 3.3 x 10^-6, i just can't work out how to show it

 

[Pyroadept]

300 lines per mm is equivalent to 3x10^5 lines per m (mulitply by 1000).
Therefore, the distance between two lines is 1/(3x10^5) = 3.333...x10^6


Think of it in simple terms: If there are two lines per metre on a grid, then the distance between two lines must be 0.5 m (i.e. 1/2)