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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Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 10P

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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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