Question 5**Using \(d=1.67\times10^{-6}\,\mathrm{m}\) and \(\lambda=632.8\,\mathrm{nm}\), find the first-order angle.
Question 8**+For \(d=1.67\times10^{-6}\,\mathrm{m}\) and \(\lambda=632.8\,\mathrm{nm}\), find the largest possible order.
Question 10**+If grating line density is increased, what happens to first-order diffraction angle for a fixed wavelength?
Question 12**A grating has \(N=7200\) illuminated lines in first order. Estimate the resolving power.
Question 13***A first-order grating measurement uses \(\lambda=600\,\mathrm{nm}\) and \(N=6000\) illuminated lines. Find \(\Delta\lambda_{\min}\).
Question 14**A grating has \(600\,\mathrm{lines\,mm^{-1}}\) illuminated over \(12.0\,\mathrm{mm}\). Find the number of illuminated lines.
Question 15***Using \(N=7200\), \(m=1\), and \(\lambda=632.8\,\mathrm{nm}\), estimate the smallest resolvable wavelength difference.
Question 17***A grating gives a first-order angle of \(20.0^\circ\) for \(500\,\mathrm{nm}\) light. Find \(d\).
Question 18***+For the grating in question 17, estimate the line density in \(\mathrm{lines\,mm^{-1}}\).