Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 =   Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm (10.5°) ?2 =   Your response differs from the correct answer by more than 10%. Double check your calculations. nm (13.6°) ?3 =   Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? =   ° (?1) ? =   ° (?2) ? =   ° (?3)

University Physics Volume 3
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ISBN:9781938168185
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Chapter4: Diffraction
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Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer.

(a) If the grating has 3770 slits/cm, what are the wavelengths of the light?
?1 =  
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm (10.5°)
?2 =  
Your response differs from the correct answer by more than 10%. Double check your calculations. nm (13.6°)
?3 =  
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. nm (14.7°)

(b) At what angles are these lines found in the second-order spectra?
? =   ° (?1)
? =   ° (?2)
? =   ° (?3
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