Light containing two different wavelengths passes through a diffaction grating with 1.100 slits/on, On a soreen 14.0 cm from the grating, the third-order maximum of the shorter wavelength fals midway between the central maximum and the first side maximum for the longer wavelength. If the neighboring maxima of the longer wavelength are 844 mm apart on the screen, what are the wavelengths in the light? (Hint: Use the small angle approximation.) nm (longer wavelength) nm (shorter wavelength)

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Chapter1: Units, Trigonometry. And Vectors
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Light containing two different wavelengths passes through a diffraction grating with 1,100 slits/cm. On a screen 14.0 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? (Hint: Use the small angle approximation.)
nm (longer wavelength)
nm (shorter wavelength)
Transcribed Image Text:Light containing two different wavelengths passes through a diffraction grating with 1,100 slits/cm. On a screen 14.0 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? (Hint: Use the small angle approximation.) nm (longer wavelength) nm (shorter wavelength)
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