Light containing two different wavelengths passes through a diffraction grating with 1,150 slits/cm. On a screen 18.0 cm from the grating, the third-order maximum of the shorter wavelength falls midway between the central maximum and the first side maximum for the longer wavelength. If the neighboring maxima of the longer wavelength are 8.44 mm apart on the screen, what are the wavelengths in the light?

Light containing two different wavelengths passes through a diffraction grating with 1,150 slits/cm. On a screen 18.0 cm from the grating, the third-order maximum of the shorter wavelength falls midway between the central maximum and the first side maximum for the longer wavelength. If the neighboring maxima of the longer wavelength are 8.44 mm apart on the screen, what are the wavelengths in the light?

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