Refraction Crown Glass
1. **Problem Statement:** A ray of light travels from air (refractive index $n_1 = 1$) into crown glass (refractive index $n_2 = 1.523$) and strikes the surface at an angle of incidence $\theta_1 = 30^\circ$. We need to find the angle of refraction $\theta_2$ inside the crown glass.
2. **Formula Used:** Snell's Law relates the angles and refractive indices:
$$n_1 \sin \theta_1 = n_2 \sin \theta_2$$
3. **Explanation:**
- $n_1$ and $n_2$ are the refractive indices of the first and second medium respectively.
- $\theta_1$ is the angle of incidence.
- $\theta_2$ is the angle of refraction.
4. **Calculation:**
Substitute the known values:
$$1 \times \sin 30^\circ = 1.523 \times \sin \theta_2$$
Since $\sin 30^\circ = 0.5$, we have:
$$0.5 = 1.523 \sin \theta_2$$
5. **Solve for $\sin \theta_2$:**
$$\sin \theta_2 = \frac{0.5}{1.523} \approx 0.3285$$
6. **Find $\theta_2$:**
$$\theta_2 = \arcsin(0.3285) \approx 19.2^\circ$$
**Final Answer:** The angle of refraction inside the crown glass is approximately $19.2^\circ$.