Refer to diagram 1. The rectangular solid is made of two blocks of different materials: - The top block (medium 1) has thickness t = 5.71 cm and index of refraction n1 = 1.72 - The bottom block (medium 2) has thickness t2 = 4.55 cm and index of refraction n2 = 1.97 Suppose the word PHYSICS is written on the underside of medium 2. From above, you look straight down at the rectangular solid. How deep into the block, in cm, does the word appear to be?

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Refer to diagram 1.

The rectangular solid is made of two blocks of different materials:

- The top block (medium 1) has thickness \( t_1 = 5.71 \) cm and index of refraction \( n_1 = 1.72 \).

- The bottom block (medium 2) has thickness \( t_2 = 4.55 \) cm and index of refraction \( n_2 = 1.97 \).

Suppose the word PHYSICS is written on the underside of medium 2. From above, you look straight down at the rectangular solid. How deep into the block, in cm, does the word appear to be?
Transcribed Image Text:Refer to diagram 1. The rectangular solid is made of two blocks of different materials: - The top block (medium 1) has thickness \( t_1 = 5.71 \) cm and index of refraction \( n_1 = 1.72 \). - The bottom block (medium 2) has thickness \( t_2 = 4.55 \) cm and index of refraction \( n_2 = 1.97 \). Suppose the word PHYSICS is written on the underside of medium 2. From above, you look straight down at the rectangular solid. How deep into the block, in cm, does the word appear to be?
**Diagram 1: Refraction at a Boundary**

This diagram illustrates the refraction of light as it passes through different media. 

1. **Media Layers:**
   - The top layer is labeled as "Air."
   - Below the air is a layer with the refractive index labeled \( n_1 \).
   - Beneath \( n_1 \) is another layer with a refractive index \( n_2 \).

2. **Light Path:**
   - An incident light ray enters from the air and strikes the boundary between air and the medium with refractive index \( n_1 \) at an angle \( \theta_0 \).
   - As the light enters the medium \( n_1 \), it refracts towards the normal.
   - The refracted light continues through the medium \( n_1 \) and reaches the boundary with medium \( n_2 \), where it refracts again.

3. **Angle of Incidence and Refraction:**
   - \( \theta_0 \) marks the angle of incidence of the light as it transitions from air to the medium with refractive index \( n_1 \).
   
4. **Distance:**
   - The horizontal distance traveled by the light within the medium \( n_1 \) is labeled as \( D \).

This diagram is used to explain the principles of refraction, showcasing how light changes direction when it moves between different media due to a change in speed, governed by the refractive indices \( n_1 \) and \( n_2 \).
Transcribed Image Text:**Diagram 1: Refraction at a Boundary** This diagram illustrates the refraction of light as it passes through different media. 1. **Media Layers:** - The top layer is labeled as "Air." - Below the air is a layer with the refractive index labeled \( n_1 \). - Beneath \( n_1 \) is another layer with a refractive index \( n_2 \). 2. **Light Path:** - An incident light ray enters from the air and strikes the boundary between air and the medium with refractive index \( n_1 \) at an angle \( \theta_0 \). - As the light enters the medium \( n_1 \), it refracts towards the normal. - The refracted light continues through the medium \( n_1 \) and reaches the boundary with medium \( n_2 \), where it refracts again. 3. **Angle of Incidence and Refraction:** - \( \theta_0 \) marks the angle of incidence of the light as it transitions from air to the medium with refractive index \( n_1 \). 4. **Distance:** - The horizontal distance traveled by the light within the medium \( n_1 \) is labeled as \( D \). This diagram is used to explain the principles of refraction, showcasing how light changes direction when it moves between different media due to a change in speed, governed by the refractive indices \( n_1 \) and \( n_2 \).
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