**Light Refraction Analysis****Figure CQ22.4 Explanation:**The figure illustrates light passing from material A into materials B and C, depicted with their respective indices of refraction: \( n_A \), \( n_B \), and \( n_C \). The task is to rank these indices from largest to smallest based on the given angles and refraction behavior. **Details:**- **Incident Light**: The light is initially in material A, with an index of refraction \( n_A \).- **Refraction in Material B**: The light enters material B at a 55.0° angle to the normal, indicating a change in speed and direction due to the difference in the refractive index \( n_B \).- **Refraction in Material C**: Similarly, light travels into material C at the same 55.0° angle, indicating the index of refraction \( n_C \).**Objective**:Determine the ranking of the indices of refraction from largest to smallest:(a) \( n_A, n_B, n_C \) (b) \( n_B, n_C, n_A \) (c) \( n_C, n_A, n_B \) (d) \( n_B, n_A, n_C \) (e) \( n_C, n_B, n_A \)This evaluation requires an understanding of Snell's Law and the relationship between the angle of incidence and refraction to infer the relative magnitudes of \( n_A \), \( n_B \), and \( n_C \).

We have given three materials i.e material A, B and CThe incident angle is in both caseIn first case, the ray of light is going from A to B and in second case, it is going from A to CWe have to arrange the refractive index from largest to smallest.The refractive index is the ratio between the speed of light in an A medium and the speed of light in the B medium . Note: If the light ray travels from one medium to another of a higher refractive index, it bends towards the normal, else it bends away from the normal.In the first case, the ray of light is moving toward normal, which means the refractive index of medium B is higher than that of medium A.In the second case, the ray of light is diverging from normal, which means the refractive index of medium C is less than medium A.So by comparing, we can say:Our answer is option D or

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14. Figure CQ22.4 shows light from material A with index of refraction nA entering materials B and Cwith indices of refrac- tion ng and nc. Rank the three indices of refraction from larg- est to smallest. (a) n, ng, nc (b) ng, nc, nA (c) nc, NA, NB (d) nB, пA, nc (e) nc, nB, пд na nB 55.0° 1 55.0⁰ 1 nc

14. Figure CQ22.4 shows light from material A with index of refraction nA entering materials B and Cwith indices of refrac- tion ng and nc. Rank the three indices of refraction from larg- est to smallest. (a) n, ng, nc (b) ng, nc, nA (c) nc, NA, NB (d) nB, пA, nc (e) nc, nB, пд na nB 55.0° 1 55.0⁰ 1 nc

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Light Refraction Analysis**

**Figure CQ22.4 Explanation:**

The figure illustrates light passing from material A into materials B and C, depicted with their respective indices of refraction: \( n_A \), \( n_B \), and \( n_C \). The task is to rank these indices from largest to smallest based on the given angles and refraction behavior.

**Details:**

- **Incident Light**: The light is initially in material A, with an index of refraction \( n_A \).
- **Refraction in Material B**: The light enters material B at a 55.0° angle to the normal, indicating a change in speed and direction due to the difference in the refractive index \( n_B \).
- **Refraction in Material C**: Similarly, light travels into material C at the same 55.0° angle, indicating the index of refraction \( n_C \).

**Objective**:

Determine the ranking of the indices of refraction from largest to smallest:

(a) \( n_A, n_B, n_C \)

(b) \( n_B, n_C, n_A \)

(c) \( n_C, n_A, n_B \)

(d) \( n_B, n_A, n_C \)

(e) \( n_C, n_B, n_A \)

This evaluation requires an understanding of Snell's Law and the relationship between the angle of incidence and refraction to infer the relative magnitudes of \( n_A \), \( n_B \), and \( n_C \).

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