Question

For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air: a. fused quartz b. polystyrene, and c. sodium chloride

Answer 1

Answer to Question #52060 - Physics - Optics

Question

For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air: a. fused quartz b. polystyrene, and c. sodium chloride Solution

$$\theta_{crit} = \sin^{-1} \frac{n_2}{n_1},$$

Fused quartz $\theta_{crit} = \sin^{-1} \frac{1.00029}{1.46} = 44{}^{\circ}$;

Polystyrene $\theta_{crit} = \sin^{-1} \frac{1.00029}{1.59} = 39{}^{\circ}$;

Sodium Chloride $\theta_{crit} = \sin^{-1} \frac{1.00029}{1.54} = 41{}^{\circ}$;

Answer: $44{}^{\circ}, 39{}^{\circ}, 41{}^{\circ}$

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