Concept explainers
Three discrete spectral lines occur at angles of 10.1°, 13.7°, and 14.8° in the first-order spectrum of a grating spectrometer. (a) If the grating has 3 660 slits/cm, what are the
(a)
Answer to Problem 38.28P
Explanation of Solution
Given info: Angles of spectral lines are
The width of slit can be given as,
Here,
Substitute
The condition for first order diffraction grating can be given as,
Here,
For the angle of
Substitute
Thus, the wavelength of the light is
For the angle of
Substitute
Thus, the wavelength of the light is
For the angle of
Substitute
Thus, the wavelength of the light is
Conclusion:
Therefore, the wavelengths of light are
(b)
Answer to Problem 38.28P
Explanation of Solution
Given info: Angles of spectral lines are
The condition for first order diffraction grating can be given as,
Rearrange the above equation for
For the wavelength
Substitute
Thus, the angle of the spectral line is
For the wavelength
Substitute
Thus, the angle of the spectral line is
For the wavelength
Substitute
Thus, the angle of the spectral line is
Conclusion:
Therefore, the angles of lines are
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Chapter 38 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax