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Light containing two dissimilar wavelengths passes during a diffraction grating with 1000 slits/cm. On a screen 17.0 cm from the grating, the third-order maximum of the shorter wavelength falls midway among the central maximum and the first side maximum for the longer wavelength. If the neigh boring maxima of the longer wavelength are 8.44 mm apart on the screen, what are the wavelengths in the light? (Hint: utilize the small angle approximation.)

nm(longer wavelength)

nm(shorter wavelength)

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