Three discrete spectral lines occur at angles of 10.3°, 13.6°, and 14.5°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3720 slits/cm, what are the wavelengths of the light? 2, = 486.4 v nm (10.3°) 647.3 x nm (13.6°) 13 = nm (14.5°) (b) At what angles are these lines found in the second-order spectra? e = |4 X (2,) (A2)

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Three discrete spectral lines occur at angles of 10.3°, 13.6°, and 14.5°, respectively, in the first-order spectrum of a diffraction grating spectrometer.
(a) If the grating has 3720 slits/cm, what are the wavelengths of the light?
2, = 486.4
v nm (10.3°)
647.3
x nm (13.6°)
13 =
nm (14.5°)
(b) At what angles are these lines found in the second-order spectra?
e = 4
° (2)
J•(23)
Transcribed Image Text:Three discrete spectral lines occur at angles of 10.3°, 13.6°, and 14.5°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3720 slits/cm, what are the wavelengths of the light? 2, = 486.4 v nm (10.3°) 647.3 x nm (13.6°) 13 = nm (14.5°) (b) At what angles are these lines found in the second-order spectra? e = 4 ° (2) J•(23)
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