In the figure below, a light ray enters a glass slab at point A at incident angle 0, 59.4° and then undergoes total internal reflection at point B. (The reflection at A is not shown.) What minimum value for the index of refraction of the glass can be inferred from this information?
In the figure below, a light ray enters a glass slab at point A at incident angle 0, 59.4° and then undergoes total internal reflection at point B. (The reflection at A is not shown.) What minimum value for the index of refraction of the glass can be inferred from this information?
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I got an answer 1.04 and-1.22 and both were wrong. Please show work so I can check
Transcribed Image Text:In the figure, a light ray enters a glass slab at point A at an incident angle \( \theta_1 = 59.4^\circ \) and then undergoes total internal reflection at point B. (The reflection at A is not shown.) What minimum value for the index of refraction of the glass can be inferred from this information?
**Diagram Explanation:**
- The diagram shows an incident ray coming from the air and hitting the glass slab at point A.
- The ray makes an angle \( \theta_1 = 59.4^\circ \) with the normal line at the point of incidence.
- After entering the glass, the ray undergoes total internal reflection at point B, within the glass slab.
- The slab has a boundary between the air and the glass, with the incident ray starting in the air and refracting into the glass until it reflects internally.
The task is to determine the minimum index of refraction for the glass based on this behavior.
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