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AP Physics 2
14.8 Double-Slit Interference and Diffraction Gratings
IntermediateMCQMathematical22.3k
A horizontal schematic diagram of a diffraction grating setup. On the left, two parallel horizontal arrows labeled incident light point to the right toward a vertical segmented line representing a diffraction grating. A horizontal dash-dotted line extends from the center of the grating to the center of a vertical flat screen on the right, labeled \(\theta = 0\). A straight line extends from the center of the grating upward at an angle \(\theta\) to a point on the screen, where a small filled rectangle indicates an overlapping fringe labeled \(m = 4\text{ (}\lambda_1\text{)}\) and \(m = 3\text{ (}\lambda_2\text{)}\). An arc between the central horizontal line and the angled line is labeled \(\theta\). No other labels, lines, text, or axes appear.
Diffraction setup showing overlapping spectral orders at angle \(\theta\).
A beam containing two monochromatic wavelengths of light, \(\lambda_1 = 480\text{ nm}\) and an unknown wavelength \(\lambda_2\), is incident normally on a diffraction grating. On a distant viewing screen, the fourth-order (\(m = 4\)) principal maximum of wavelength \(\lambda_1\) appears at the exact same diffraction angle \(\theta\) as the third-order (\(m = 3\)) principal maximum of wavelength \(\lambda_2\). What is the wavelength \(\lambda_2\)?

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