Refer to diagram 3. A prism in the shape of a right triangle, base angle a = 30.4°, is immersed in a liquid (index of refraction n = 1.34- not air!). A ray of light traveling in the liquid strikes one leg of the triangle along the normal and passes through unrefracted, striking the hypotenuse at point A. If the ray now refracts along the interface at A: find the index of refraction of the material of the prism.

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Chapter1: Units, Trigonometry. And Vectors
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Refer to diagram 3.

A prism in the shape of a right triangle, base angle \( \alpha = 30.4^\circ \), is immersed in a liquid (index of refraction \( n = 1.34 \) - *not air*). A ray of light traveling in the liquid strikes one leg of the triangle along the normal and passes through unrefracted, striking the hypotenuse at point A. If the ray now refracts along the interface at A, find the index of refraction of the material of the prism.
Transcribed Image Text:Refer to diagram 3. A prism in the shape of a right triangle, base angle \( \alpha = 30.4^\circ \), is immersed in a liquid (index of refraction \( n = 1.34 \) - *not air*). A ray of light traveling in the liquid strikes one leg of the triangle along the normal and passes through unrefracted, striking the hypotenuse at point A. If the ray now refracts along the interface at A, find the index of refraction of the material of the prism.
**Diagram 3 Explanation:**

The image contains a right-angled triangle placed on an orange rectangular background. The right-angled triangle is shaded in green with a dotted pattern. The triangle is oriented such that its right angle is at the bottom left. 

Key elements in the diagram include:

1. **Point A**: Denoted at the top of the triangle (the apex of the hypotenuse).

2. **Angle θ (Theta)**: Located at the base of the triangle, opposite side to point A.

3. **Arrow**: A black arrow is pointing horizontally from left to right, with a dashed line connecting it to point A. 

Overall, the diagram seems to illustrate a geometric concept involving angles and positions within a triangle, possibly used for explaining trigonometric functions or vector directions.
Transcribed Image Text:**Diagram 3 Explanation:** The image contains a right-angled triangle placed on an orange rectangular background. The right-angled triangle is shaded in green with a dotted pattern. The triangle is oriented such that its right angle is at the bottom left. Key elements in the diagram include: 1. **Point A**: Denoted at the top of the triangle (the apex of the hypotenuse). 2. **Angle θ (Theta)**: Located at the base of the triangle, opposite side to point A. 3. **Arrow**: A black arrow is pointing horizontally from left to right, with a dashed line connecting it to point A. Overall, the diagram seems to illustrate a geometric concept involving angles and positions within a triangle, possibly used for explaining trigonometric functions or vector directions.
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