# The wavelengths of the visible spectrum range from about 400 nm (purple) to 700 nm (red). Find the angular width of the first-order visible spectrum created by a diffraction grating with 300 lines per millimeter when white light falls on the grating normally.

The wavelengths of the visible spectrum range from about 400 nm (purple) to 700 nm (red). Find the angular width of the first-order visible spectrum created by a diffraction grating with 300 lines per millimeter when white light falls on the grating normally. Please answer in degrees.
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Solution distance between lines is (d)=
Violet light for first order occurs at = ${\mathrm{sin}}^{-1}\left(\frac{4×{10}^{-7}}{3.33×{10}^{-6}}\right)$
$={6.9}^{\circ }$
Red light for first order occurs at=${\mathrm{sin}}^{-1}\left(\frac{7×{10}^{-7}}{3.33×{10}^{-6}}\right)$
$={12.1}^{\circ }$