Determine the unknown index of refraction in each of the situations in the figure below: 1) Determine the unknown index of refraction in the figure (a) . Suppose that n1 =1.00, θ1 = 21°, θ2 = 14° . 2) Determine the unknown index of refraction in the figure (b) . Suppose that n1 =1.00, θ1 = 26°, θ2 = 20° 3) Determine the unknown index of refraction in the figure (c) . Suppose that n2 =1.50, θ1 = 15°, θ2 = 10° 4) Determine the unknown index of refraction in the figure (d) . Suppose that n2 =1.33, θ1 = 34.1°, θ2 = 25°
Applications Of Reflection Of Light
When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.
Sign Convention for Mirrors
A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.
Determine the unknown index of refraction in each of the situations in the figure below:
1) Determine the unknown index of refraction in the figure (a) . Suppose that n1 =1.00, θ1 = 21°, θ2 = 14° .
2) Determine the unknown index of refraction in the figure (b) . Suppose that n1 =1.00, θ1 = 26°, θ2 = 20°
3) Determine the unknown index of refraction in the figure (c) . Suppose that n2 =1.50, θ1 = 15°, θ2 = 10°
4) Determine the unknown index of refraction in the figure (d) . Suppose that n2 =1.33, θ1 = 34.1°, θ2 = 25°
![The image consists of four diagrams labeled (a), (b), (c), and (d). Each diagram depicts a light ray passing through the boundary between two different mediums, indicating the change in angle and index of refraction.
**Diagram (a):**
- Left Medium:
- Refractive index (\(n_1\)) = 1.00
- Angle of incidence (\(\theta_1\)) = 20°
- Right Medium:
- Refractive index (\(n_2\)) = ?
- Angle of refraction (\(\theta_2\)) = 14°
**Diagram (b):**
- Left Medium:
- Refractive index (\(n_1\)) = 1.00
- Angle of incidence (\(\theta_1\)) = 30°
- Right Medium:
- Refractive index (\(n_2\)) = ?
- Angle of refraction (\(\theta_2\)) = 20°
**Diagram (c):**
- Left Medium:
- Refractive index (\(n_1\)) = ?
- Angle of incidence (\(\theta_1\)) = 18°
- Right Medium:
- Refractive index (\(n_2\)) = 1.50
- Angle of refraction (\(\theta_2\)) = 10°
**Diagram (d):**
- Left Medium:
- Refractive index (\(n_1\)) = ?
- Angle of incidence (\(\theta_1\)) = 34.1°
- Right Medium:
- Refractive index (\(n_2\)) = 1.33
- Angle of refraction (\(\theta_2\)) = 25°
Each diagram shows an arrow representing the direction of the light ray as it transitions between the two mediums, highlighting the change in angle due to refraction. The background colors differentiate the two mediums.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79fca690-a03c-4309-991f-d5b59a311c66%2F3cd44536-bd8b-49f9-a740-3b6d8f0a2feb%2F780bm3c_processed.png&w=3840&q=75)
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