Question

A ray of light is refracted through a prism of angle 70°. If the angle of refraction in the glass at the first face is 28°, what is the angle of incidence in the glass at the second face?

Answer 1

Answer on Question #83417, Physics / Optics

Question. A ray of light is refracted through a prism of angle $70{}^{\circ}$. If the angle of refraction in the glass at the first face is $28{}^{\circ}$, what is the angle of incidence in the glass at the second face?

Solution.

For prism

$$\alpha + \beta = 180{}^{\circ} - \psi = 180{}^{\circ} - 180{}^{\circ} + A \Rightarrow A = \alpha + \beta.$$

In our case

$$\alpha = 28{}^{\circ} \quad \text{and} \quad A = 70{}^{\circ}.$$

So,

$$\beta = A - \alpha = 70{}^{\circ} - 28{}^{\circ} = 42{}^{\circ}.$$

Answer. $\beta = 42{}^{\circ}$

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