Questions
Question 1
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State the diffraction grating equation for normal incidence.
Question 2
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How do you find grating spacing from line density \(n_L\)?
Question 3
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A grating has \(500\,\mathrm{lines\,mm^{-1}}\). Find \(d\).
Question 4
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A grating has \(600\,\mathrm{lines\,mm^{-1}}\). Find \(d\).
Question 5
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Using \(d=1.67\times10^{-6}\,\mathrm{m}\) and \(\lambda=632.8\,\mathrm{nm}\), find the first-order angle.
Question 6
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For the grating in question 5, find the second-order angle.
Question 7
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What condition limits the maximum possible grating order?
Question 8
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For \(d=1.67\times10^{-6}\,\mathrm{m}\) and \(\lambda=632.8\,\mathrm{nm}\), find the largest possible order.
Question 9
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Why are higher diffraction orders more spread out for a given grating?
Question 10
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If grating line density is increased, what happens to first-order diffraction angle for a fixed wavelength?
Question 11
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State the resolving power of a diffraction grating.
Question 12
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A grating has \(N=7200\) illuminated lines in first order. Estimate the resolving power.
Question 13
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A first-order grating measurement uses \(\lambda=600\,\mathrm{nm}\) and \(N=6000\) illuminated lines. Find \(\Delta\lambda_{\min}\).
Question 14
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A grating has \(600\,\mathrm{lines\,mm^{-1}}\) illuminated over \(12.0\,\mathrm{mm}\). Find the number of illuminated lines.
Question 15
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Using \(N=7200\), \(m=1\), and \(\lambda=632.8\,\mathrm{nm}\), estimate the smallest resolvable wavelength difference.
Question 16
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What is the central maximum order for a diffraction grating at normal incidence?
Question 17
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A grating gives a first-order angle of \(20.0^\circ\) for \(500\,\mathrm{nm}\) light. Find \(d\).
Question 18
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For the grating in question 17, estimate the line density in \(\mathrm{lines\,mm^{-1}}\).
Question 19
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Derive the maximum-order rule for a diffraction grating.
Question 20
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Why does a diffraction grating separate colors?