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Light is incident along the normal to face AB of a prism that has a refractive...

Light is incident along the normal to face AB of a prism that has a refractive index n and an angle α=30∘, as shown in (Figure 1). When the prism is in air, the light undergoes total internal reflection. However, when the prism is immersed in water, a faint refracted ray emerges at an angle of 70 ∘ to the normal of face AC. The index of refraction of water at this temperature is 1.333. Determine n. Express your answer to three significant figures.

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