Three discrete spectral lines occur at angles of 10.3°, 13.8°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3780 slits/cm, what are the wavelengths of the light? ?1 = _________nm (10.3 degrees) ?2 = _________nm (13.8 degrees) ?3 = _________nm (15.0 degrees) (b) At what angles are these lines found in the second-order spectra? ? = ______ (?1) ? = ______ (?2) ? = ______ (?3)

Three discrete spectral lines occur at angles of 10.3°, 13.8°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3780 slits/cm, what are the wavelengths of the light? ?1 = _____nm (10.3 degrees) ?2 = _nm (13.8 degrees) ?3 = _nm (15.0 degrees) (b) At what angles are these lines found in the second-order spectra? ? = (?1) ? = (?2) ? = __ (?3)

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

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Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

Three discrete spectral lines occur at angles of 10.3°, 13.8°, and 15.0°, respectively, in the first-order spectrum of a diffraction grating spectrometer.

(a) If the grating has 3780 slits/cm, what are the wavelengths of the light?

?1 = _________nm (10.3 degrees)

?2 = _________nm (13.8 degrees)

?3 = _________nm (15.0 degrees)

(b) At what angles are these lines found in the second-order spectra?

? = ______ (?1)

? = ______ (?2)

? = ______ (?3)

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