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Light from a Hydrogen lamp is focused through a diffraction grating with 770 lines/cm and the...

Light from a Hydrogen lamp is focused through a diffraction grating with 770 lines/cm and the diffraction pattern is shown on a screen that is 5.30 m away. You notice in the pattern that there are two distinct purple dots that are 16.46 cm and 17.70 cm from the central maximum, corresponding to the first-order maxima for two different wavelengths of light emitted by the lamp. What is the difference between the two wavelengths (in nm) corresponding to these purple dots in your pattern? Round your answer to 2 decimal places.

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