Answer to Question #129824 in Optics for Sadiq

Question

in case of practical of refraction what will be the angle of deviation if the angle of incidence is 10, 20, 30, 40, 50, 60, 70

Answer 1

The angle of deviation is $\delta=\theta-\rho.$

First, find the angle of refraction:

$$\rho(\theta)=\text{arcsin}\frac{\text{sin}\theta}{n}.$$

With refraction index $n=1.6$ we have the following data:

$\rho(10°)=6°,\space\delta(10°)=4°;\\ \rho(20°)=12°,\space\delta(20°)=8°;\\ \rho(30°)=18°,\space\delta(30°)=12°;\\ \rho(40°)=24°,\space\delta(40°)=16°;\\ \rho(50°)=29°,\space\delta(50°)=21°;\\ \rho(60°)=33°,\space\delta(60°)=27°;\\ \rho(70°)=36°,\space\delta(70°)=34°.\\$