(Solved): The dispersion of a diffraction grating, such as the one shown in the image, is a measure of the an ...

The dispersion of a diffraction grating, such as the one shown in the image, is a measure of the angular separation of adjacent wavelengths, \( \Delta \phi / \Delta \lambda \). It depends on the order of the diffraction \( (n) \), the distance between grooves in the grating (d) and the angle of the emerging light \( (\phi) \). Calculate the dispersion of a first order diffraction for light emerging at \( \phi=21.0^{\circ} \) when a grating with \( 1.80 \times 10^{3} \) grooves per centimeter is used. Report the answer in degrees per micrometer. \[ \frac{\Delta \phi}{\Delta \lambda}= \]