Light with a wavelength of \(600 \mathrm{~nm}\) is incident on a diffraction grating that has 100 slits. The first-order maximum is observed at a point \(\mathrm{P}\) on a distant screen. How much farther does the light travel from the first slit of the grating to point \(\mathrm{P}\) than does the light from the 100th slit?