Light travels through three different media with index of refractions no, no, and n as shown here. na no nc Which statements must be true? Select two answers. (A) n₂>nb (B) n₂>nc (C) nc> na □ (D) nc

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Reflection And Refraction Of Light
Section: Chapter Questions
Problem 56P
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**Light Refraction through Multiple Media**

Light travels through three different media with indices of refraction \( n_a \), \( n_b \), and \( n_c \) as shown here.

![Diagram Explanation]
The diagram depicts three regions, each with a different refractive index: \( n_a \) (left region), \( n_b \) (middle region), and \( n_c \) (right region). A light ray is shown entering from the left region (grey) and passing through each medium. The light ray bends at each interface, adhering to Snell's law of refraction.

- The light ray enters the first boundary from medium \( n_a \) to medium \( n_b \) and refracts (bends).
- As it travels from \( n_b \) to \( n_c \), it refracts again at the second boundary.

**Which statements must be true? Select two answers.**
- (A) \( n_a > n_b \)
- (B) \( n_b > n_c \)
- (C) \( n_c > n_a \)
- (D) \( n_c < n_a \)

This exercise involves determining the relationship between the indices of refraction based on the behavior of the light ray as it passes through the different media.
Transcribed Image Text:**Light Refraction through Multiple Media** Light travels through three different media with indices of refraction \( n_a \), \( n_b \), and \( n_c \) as shown here. ![Diagram Explanation] The diagram depicts three regions, each with a different refractive index: \( n_a \) (left region), \( n_b \) (middle region), and \( n_c \) (right region). A light ray is shown entering from the left region (grey) and passing through each medium. The light ray bends at each interface, adhering to Snell's law of refraction. - The light ray enters the first boundary from medium \( n_a \) to medium \( n_b \) and refracts (bends). - As it travels from \( n_b \) to \( n_c \), it refracts again at the second boundary. **Which statements must be true? Select two answers.** - (A) \( n_a > n_b \) - (B) \( n_b > n_c \) - (C) \( n_c > n_a \) - (D) \( n_c < n_a \) This exercise involves determining the relationship between the indices of refraction based on the behavior of the light ray as it passes through the different media.
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