The number of lines per centimeter on a diffraction grating is given by:

$\overline{)\begin{array}{rcl}{\mathbf{N}}& {\mathbf{=}}& \frac{\mathbf{1}\mathbf{c}\mathbf{m}}{\mathbf{d}}\\ & {\mathbf{=}}& \frac{\mathbf{0}\mathbf{.}\mathbf{0100}}{\mathbf{d}}\end{array}}$

How many lines per centimeter are there on a diffraction grating that gives a first-order maximum for 470-nm blue light at an angle of 25.0°?

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