Problem 18.66 Challenge

a) จาก \(400\) ช่อง/mm คือ \(d = \frac{1.00 mm}{400}\)

จาก \(dsinθ = mλ\)

\(\theta = \sin ^{-1}(\frac{m\lambda}{d})\)

\(\theta = \sin ^{-1}(\frac{(2)(541 nm)}{(\frac{1.00 mm}{400})})\)

\(\theta = 25.6° \;\blacksquare\)

b) จาก \(\frac{\lambda _{1}}{\lambda _{2}}=\frac{n_{2}}{n_{1}}\)

\(\lambda _{2} =\frac{n_{1}\lambda _{1}}{n_{2}}\)

\(\lambda _{2} =\frac{(1)(541 nm)}{(1.33)}=\frac{541 nm}{1.33}\)

จาก \(dsinθ = mλ\)

\(\theta = \sin ^{-1}(\frac{m\lambda}{d})\)

\(\theta = \sin ^{-1}(\frac{m\lambda _{2}}{d})\)

\(\theta = \sin ^{-1}(\frac{(2)(\frac{541 nm}{1.33})}{(\frac{1.00 mm}{400})})\)

\(\theta = 19.0° \;\blacksquare\)