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With the aid of Figures $7-2$ and $7-3,$ suggest instrument components and materials for constructing an instrument that would be well suited for (a) the investigat...

Question

With the aid of Figures $7-2$ and $7-3,$ suggest instrument components and materials for constructing an instrument that would be well suited for (a) the investigation of the fine structure of absorption bands in the region of 450 to $750 \mathrm{nm}$. (b) obtaining absorption spectra in the far IR ( 20 to $50 \mu \mathrm{m}$ ). (c) a portable device for determining the iron content of natural water based on the absorption of radiation by the red $\mathrm{Fe}(\mathrm{SCN})^{2+}$ complex. (d) the

With the aid of Figures $7-2$ and $7-3,$ suggest instrument components and materials for constructing an instrument that would be well suited for (a) the investigation of the fine structure of absorption bands in the region of 450 to $750 \mathrm{nm}$. (b) obtaining absorption spectra in the far IR ( 20 to $50 \mu \mathrm{m}$ ). (c) a portable device for determining the iron content of natural water based on the absorption of radiation by the red $\mathrm{Fe}(\mathrm{SCN})^{2+}$ complex. (d) the routine determination of nitrobenzene in air samples based on its absorption peak at $11.8 \mu \mathrm{m}$. (e) determining the wavelengths of flame emission lines for metallic elements in the region from 200 to $780 \mathrm{nm}$ (f) spectroscopic studies in the vacuum UV region. (g) spectroscopic studies in the near IR.



Answers

A typical laboratory diffraction grating has 5.00 $\times$ 10$^3$ lines/cm, and these lines are contained in a 3.50-cm width of grating. (a) What is the chromatic resolving power of such a grating in the first order? (b) Could this grating resolve the lines of the sodium doublet (see Section 36.5) in the first order? (c) While doing spectral analysis of a star, you are using this grating in the $second$ order to resolve spectral lines that are very close to the 587.8002-nm spectral line of iron. (i) For wavelengths longer than the iron line, what is the shortest wavelength you could distinguish from the iron line? (ii) For wavelengths shorter than the iron line, what is the longest wavelength you could distinguish from the iron line? (iii) What is the range of wavelengths you could $not$ distinguish from the iron line?


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