 # 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. Francisco Proctor 2022-07-21 Answered
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=${\mathrm{sin}}^{-1}\left(\frac{7×{10}^{-7}}{3.33×{10}^{-6}}\right)$
$={12.1}^{\circ }$