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When a light ray is incident on a medium...

When a light ray is incident on a medium of refractive index 4/3, reflected light is found to be 100% polarized. What is the angle of refraction in degrees?
`(tan 53^@ = 4/3)`.

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To solve the problem, we will use Brewster's law, which states that the angle of incidence (i) at which light is perfectly polarized upon reflection is given by: \[ \tan(i_p) = n \] where \( n \) is the refractive index of the medium, and \( i_p \) is the Brewster angle. ### Step-by-Step Solution: 1. **Identify the Refractive Index**: The refractive index \( n \) of the medium is given as \( \frac{4}{3} \). 2. **Apply Brewster's Law**: According to Brewster's law: \[ \tan(i_p) = n = \frac{4}{3} \] 3. **Find the Brewster Angle**: We know from the problem statement that \( \tan(53^\circ) = \frac{4}{3} \). Therefore, we can conclude that: \[ i_p = 53^\circ \] 4. **Use the Relationship Between Angles**: The relationship between the angle of incidence \( i \), angle of refraction \( r \), and the Brewster angle \( i_p \) is given by: \[ i + r = 90^\circ \] Hence, we can express the angle of refraction \( r \) as: \[ r = 90^\circ - i_p \] 5. **Calculate the Angle of Refraction**: Substituting the value of \( i_p \): \[ r = 90^\circ - 53^\circ = 37^\circ \] Thus, the angle of refraction is \( 37^\circ \). ### Final Answer: The angle of refraction is \( 37^\circ \).

To solve the problem, we will use Brewster's law, which states that the angle of incidence (i) at which light is perfectly polarized upon reflection is given by: \[ \tan(i_p) = n \] where \( n \) is the refractive index of the medium, and \( i_p \) is the Brewster angle. ### Step-by-Step Solution: ...
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